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Heat & Mass Transfer - Science topic

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Dear Researchgate Forum users!
I am delighted to invite you to participate in the 6th Central European Symposium on Building Physics (CESBP 2025), scheduled for 11th – 13th September 2025, at the Budapest University of Technology and Economics in Budapest, Hungary. The call for papers just started! Also, we organize an IABP summer school connected to the conference! Please check the attached flyer and cesbp2025.bme.hu, if you are interested. Feel free to ask here, too, if you have questions about the conference!
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Dear Albert Samai your contribution would be highly welcomed to CESBP 2025 conference.
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I have studied and compared the enhancement of CO2 absorption by nanofluids in batch and continuous processes. i have found that the enhancement effect of nanofluids is more pronounced in continuous system (bubble column). but i cant explain the reason behind this difference.
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I not engineering department and my department agriculture economics
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We are doing heat and mass transfer analysis when blood flows through a porous artery. We apply ANSYS CFX for the simulation analysis. We want to fix interfacial area density between two phases (Fluid phase and solid phase).
Any article or data or any equation that is available?
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Hi, I have been trying to import the thermophysical properties of CO2 (for the supercritical region) to Fluent by using UDF (only for 80 bar). End of the analysis, the result is not correct. I think Fluent is pulling a Tref value which causes my enthalpy to go negative; therefore, the energy equation does not give accurate temperature results, so the result of thermophysical properties, which are functions of temperature, are wrong. I want to be grateful if you could share your recommendations, especially on the methods of correct calculation of enthalpy. My specific heat code is as follows:
#include "udf.h"
DEFINE_SPECIFIC_HEAT(supercritical_cp, T, Tref, h, yi)
{
real cp;
if (300. >= T)
{
cp = 2.256999118844760E-02 * pow(T, 4.) - 2.606618818487370E+01 * pow(T, 3.) + 1.129129898467780E+04 * pow(T, 2.) - 2.174235523392760E+06 * T + 1.570278261279480E+08;
}
if (306. >= T > 300.)
{
cp = 1.147018354719330E+01 * pow(T, 4.) - 1.385519872072390E+04 * pow(T, 3.) + 6.276090044658930E+06 * pow(T, 2.) - 1.263530241490370E+09 * T + 9.539285116131690E+10;
}
if (307.8 >= T > 306.)
{
cp = -1.611612838918710E+04 * pow(T, 4.) + 1.978085636985280E+07 * pow(T, 3.) - 9.104578256081260E+09 * pow(T, 2.) + 1.862478067464320E+12 * T - 1.428738938943020E+14;
}
if (310. >= T > 307.8)
{
cp = -1.576135476848110E+03 * pow(T, 4.) + 1.945866130859760E+06 * pow(T, 3.) - 9.008641337104630E+08 * pow(T, 2.) + 1.853611584329810E+11 * T - 1.430227164258690E+13;
}
if (320. >= T > 310.)
{
cp = 1.770529718817220E+00 * pow(T, 4.) - 2.242833202341920E+03 * pow(T, 3.) + 1.065432793165650E+06 * pow(T, 2.) - 2.249454519629040E+08 * T + 1.781003821884030E+10;
}
if (T > 320.)
{
cp = 2.086961941877520E-03 * pow(T, 4.) - 2.851496372954040E+00 * pow(T, 3.) + 1.461548345109060E+03 * pow(T, 2.) - 3.330816449664890E+05 * T + 2.848088978782360E+07;
}
*h = cp*(T-Tref);
return cp;
}
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I've looked at the polynomials that you have noted: none of them make sense, whether using actual temperatures or reduced temperatures.
I suggest going back to the original data and making your own, (lower order) curve fit using Excel.
One further comment, you would be mis-calculating enthalpy if you used your last equation as it assumes a constant specific heat over the temperature range: the correct form is to integrate Cp.dT over the range, I would integrate the secific heat equation (if it was correct).
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I have a specific case about internal pipe flow with constant heat flux. Although the inlet boundary condition is laminar, the flow is a passing transition (a significant part of the tube) and turbulent regime along the tube (because of the change of thermophysical properties depending on implied heat). SST models with intermittency term (For fully laminar flow, γ = 0 and the model reverts to a laminar solver. When γ = 1, the flow is fully turbulent.) can catch laminar/transitional and turbulent flow regimes. These models were designed for turbulent inlet boundary conditions (models solve intermittency term, so it needs extra boundary conditions such as turbulent intensity). Can Transitional SST Models be used for laminar inlet / turbulent outlet boundary conditions? If so, what is the approach?
Regards,
EB
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Hi
I tried to run an ANSYS FLUENT simulation with SST Model and it was hard to converge. The laminar model should converge, I'd suggest using a better quality mesh.
In some cases the SST will resolve to low/zero turbulence, but that is not always the case. The SST model will have turbulent fluid coming in the inlet, as set by your boundary condition. This would take time/distance to convert to laminar using the SST model. Check your Viscosity ratio in your results, see how turbulent the SST model is showing your flow to be. Laminar flows can have problems converging where they are actually turbulent flows, or where transient laminar flow structures exist. (This is assuming you have a good quality mesh and the simulation is correctly set up.) If you say the flow should be laminar then it is still quite possible that a laminar steady state simulation will not converge because of transient flow structures. This is very common in heat transfer simulations with natural convection - the natural convection tends to have transient laminar structures. If this is the case the only way to proceed is to do a transient laminar simulation. If you solve a laminar simulation with a turbulence model you are adding extra dissipation to the model. This dissipation is not real, it is a product of the turbulence model you are using, but it can have the effect of damping out these transient flow structures and apparently converging. The SST turbulence model is better than most turbulence models as when the turbulent kinetic energy goes to zero (it is exactly zero in a laminar flow, by definition) the turbulent viscosity also goes to zero, so SST does not add much dissipation to the model and you might get away with it. But k-epsilon based models are well known to have far too much dissipation in the low Reynolds number regimes because as k goes to zero the turbulent viscosity goes to a finite value, and this is false additional dissipation. This is why the k-e model is a bad choice for low Reynolds number flows, and you either need to modify it or use a k-omega based model like SST which does give zero turbulent viscosity at zero turbulent kinetic energy. However, if your flow is steady state laminar and you use the SST turbulence model the turbulence model is likely to give effectively zero turbulent viscosity, meaning that your answer probably will be reasonably accurate (only with a small amount of extra dissipation). If your flow is transient laminar and you use the SST turbulence model there is a good chance the turbulence model will generate too much dissipation and damp out the transient flow, which is wrong. You are likely to get a big error in this case. In this case using the SST turbulence model is wrong. A transient laminar model is correct. Note you will need to do time step, mesh and convergence criteria sensitivity studies to work out what you need for time step and mesh size, and convergence criteria.
Hopefully that explains things a bit.
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Please suggest any simple procedure to measure it.
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Carry out the tensile test and record percentage elongation (after the yielding up to the fracture)..
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There are multiple methods to calculate cold and hot outlet temperatures, e.g. LMTD and P-NTU.
  1. P-NTU directly calculates both the hot and cold outlet temperatures using two linear equations based on (a) exchangers geometry (b) flow and (c) heat-capacity of the fluids.
  2. LMTD based method requires (a) exchangers geometry (b) flow (c) heat-capacity of the fluids and (d) one of the outlet temperatures to calculate the remaining outlet temperature.
(Note : LMTD method can find both the outlet temperatures, if heat exchanger is single-pass)
Both the methods give same answers (while designing and rating heat exchangers) !
My question is as follows:
Is recursive type calculations in LMTD can be considered as a drawback of LMTD method? , Particularly in heat exchanger networks?
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Recursive vs. one-step calculations are of little concern with current computer resources and readily available software. The bigger issue arises from the fact that these two methods solve the same separable differential equation, but using different assumptions when separating the variables before integrating. This means that the two different methods handle some things differently, like implicitly/explicitly averaging properties, heat transfer coefficients, etc. You should consider EPRI TR-107397 (Service Water Heat Exchanger Testing Guidelines). The principal author of 1997 version is Jeffrey Rabensteine of Power Generation Technologies, here in Knoxville. The 2015 version was updated by Lindon C. Thomas, who is a friend and also lives in Knoxville. Dr. Thomas is a renown authority on the P-NTU method and wrote a textbook covering the subject https://www.amazon.com/Lindon-C-Thomas/e/B001HOVPI4
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Question is related to Heat & Mass transfer subject of Mechanical Engineerin
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Please refer to this reference.
Zhang, Y., Li, Q. and Zhou, H., 2016. Theory and calculation of heat transfer in furnaces. Elsevier.
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Since there are materials having high yield strength and good mechanical properties but due to less ductility their usage is limited to only very few applications.
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Surely by adding Ti alloys
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hi everyone.
Is there any accurate formula to find the diffusion coefficient of peptide and its ions (COO-) and (N+(CH3)3)?
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Dear Afroza Begum, but the end groups of a peptide are also carboxylic acid and an amine, not a radical 'R'. My Regards
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I need to put energy balance for a Rotary dryer . the input feed contains the mixture of mono & di sodium phosphate and H20 (Mass flow rate and Temperature are known). Hot air is used to dry and calcinate the feed (400Deg C& mass flow rate known) to form STPP (mass flow rate & T is known). The hot air outlet temperature is unknown (Mass flow rate is known). I need to know the specific heat value to find the temperature of the outlet hot air stream and to put energy balance
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Thank you for the writer of the first answer.
Y.E
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I am trying to simulate the heat transfer and fluid flow in a volumetric (porous) solar receiver in COMSOL Multiphysics. I know the material porosity, PPI and thermo-physical properties, however, the exact structural properties, i.e., pore size, solid wall thickness, pore shape, etc., are unknown.
Will it be correct to simulate the computational model as a single domain with given porosity instead of considering the detailed internal structure of the material?
If there is any research article where a similar procedure is adopted, kindly share it with me. I will be thankful to you.
Thanking you
------
Manoj Kumar Sharma
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Hello all,
I have a problem on establishing the simple 1D model for multi-tubular reactor with exothermic reactions. The packed-bed is cooled by coolant to dissipate the reaction heat.
Since this 1D model will be employed to a hybrid-approach that covering another data-driven deep learning ANNs, the 1D model must be ultimately simplified.
In general, the constraints for that simple 1D model are:
1. Minimize the number of equations (only mass and energy balance. pressure drop, diffusion, dispersion are neglected)
2. Minimize the number of empirical correlations: I need to find the good overall HTC for the packed-bed reactor. Also, I need the good method for estimating the mass-transfer limitation.
3. Maximize the validity range of model: We need a wide range of application.
Can you help me to find:
1. The simplest governing equation
2. The simplest correlation
for such kind of problem?
Thank you in advance,
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Thank you all for your help.
I already found my solution through this book:
G.G.F. Froment, K.B.K. Bischoff, J. De Wilde, J. De Wilde, Chemical reactor analysis and design, third, John Wiley & Sons, Inc., New York, 2011.
I think the most simple 1D model for such problem can be:
1. Mass + species balance
2. Energy balance + effective Radial and near wall HTCs. Dixon model for those HTCs are correct for wide range of Re.
The fluid properties such as viscosity, heat capacity, thermal conductivity can be calculated via polynomial fitted equations.
I solved the above 1D model correctly using only few lines of code. The difference between rigorous 1D model ant this one is less than 10%.
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Hello All,
I came across an additive manufacturing heat transfer FEM problem. In this problem, in each time step, a material is added to the current geometry. So, an amount of mass with a defined temperature is added to the whole geometry.
I heard about the Abaqus AM tool, but I would like to develop my own code. So I am wondering about the best method to solve this FEM? How can I define and update the stiffness matrixes? How can I reduce computational costs?
I appreciate any help or tip!
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About the stiffness matrix size: you can do it, but it is just a purely numerical solution (no science behind) if you make your steps independent (I mean if you move from step n to step n+1 and between those 2 steps there is a dimension change, export results from step n and make a transfer to a new model corresponding to your step n+1 putting zeros wherever there is no data from the previous step results and add whatever you want to add in the formulation of the initial state of your new calculation, ie the n+1) however, about adding mass, yes you would be infringing the fundamental law of mass conservation if you consider your system at step n and step n+1 the same, this is why I propose to numerically separate the model into one corresponding to step n and one other to step n+1. I hope I explained well my point
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Need an explanation.
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Dear Professor Brian G Higgins,
Thank you so much for sharing information
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How to calculate velocity in natural convection using experimental results in the attachment?
HTF is water at 5 Celsius degrees, cooled medium is paraffin with following thermo-physical:
Data sheet for RT21 (Rubitherm, n.d.)
Melting area °C 18-23, typical 21°C
Congealing area °C 22-19, typical 22°C
Heat storage capacity kJ/kg 134
Density solid at 15°C Kg/l 0.88
Density liquid at 25°C Kg/l 0.77
Volume expansion % 14
Heat conductivity W/(m•K) 0.2
Specific heat liquid kJ/(kg•K) 2.4
Specific heat solid kJ/(kg•K) 1.8
Geometry and temperatures are presented in the attachment.
Thanks,
Ivica
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Grashof’s Number.
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Hello dear friends How can we find outlet air situation from desiccant wheels such as temperature or humidity. I know it can be found by solving heat and mass transfer equations but it is so difficult. I am searching through easier way. I mean an equation that is function of desiccant wheel parameters such as wheel speed, regeneration temperature and...
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Hello.
You can find the equations here:
They used the equations indicated in EnergyPlus Manual. For this, you need to select your desiccant wheel based on the inlet airflow and use the performance data given by the manufacturer.
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Porous media is not absorbing heat by radiation and density remain constant of overall control volume.
We are trying to formulate flow through "solar chimney with porous media as energy storage ".
In fluent we used :
1) k epsilon model
2) DO model for radiation
3) Pressure based model
4) Porous media
For elaborate details of problem refer document attached below .
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You must solve continuity equation, Darcy or modified Darcy equation and Energy Equation
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I'm seeking to model species mass transfer in water electrolysis, yet I'm confused approaching the study since I'm always facing the fact that all mass transfer theories and models are established between liquid-gas phase interface.
I would appreciate any orientation or help on how should I approach the problem, as well as sharing with me any relevant books, forums or research papers that may help me out.
Thanks in advance.
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Many Thanks
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I have read many research articles addressing the effect of homogeneous–heterogeneous reaction on fluid flow; all of them mentioned A and B as chemical species. Can anyone help me to understand what A and B are?
For example, consider the isothermal homogenous (cubic) autocatalytic reaction
A+2B ->3B
And first order isothermal heterogeneous reaction
A->B
I have attached a research article with this question.
Thank You!
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This is a theoretical work where the chemical compound A and which B are not specified clearly. It is only known that A is a substrate and B acts as an autocatalyst. Moreover, both reactions take place in two different phases. We may deal with such situations in bioogical systems.
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Hello everyone,
I am looking for some examples in which line/arc-shaped heat sources can be used.
For example, the laser sintering process used a moving point heat source.
In a similar way, I am looking for an example where arc/line or arbitrary area shaped based heat source is used?
Thanks in advance.
Regards
Zulfiqar Ali
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Thanks, everyone for the feedback.
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i'm simulating heat and mass transfer inside  two phase closed thermosyphon using 2-d axysymmetric geometry.i've selected pressure based solver and transient.I am using ANSYS /FLUENT 19 student version .VOF method with Lee Model is used . Water is used as secondary phase and Vapor is used as primary phase. SIMPLE algorithm scheme for pressure velocity coupling and a first order upwind scheme for the determination of momentum and energy is included in the model. Geo –Reconstruct and PRESTO discretization for the volume fraction and pressure interpolation scheme, respectively, are also performed in these simulations. but,after running the calculation,contour is showing phase change only in the evaporator region as shown in attached figure.I've also patched the liquid water fill ratio with volume fraction=1 in the evaporator region.Can anyone help me out?
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Hi, I am facing the same problem. Can you explain the solution?
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I want to simulate a part-load operation of coal-fired power plant. I have tried to implement Stodola equation and mass and heat balances through Fortran code but got issues in the cycle convergence.
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Dear Dawid,
I would advise use MATLAB instead of Fortran code for steam cycle performance.
Power plant can use couple of process simulators such as e.g. Aspen Plus, Unisim, and Pro II. . To evaluate the model’s performance, its predictions may be compared with those of an equivalent model from Gate Cycle or other cycle. Use the Steam table for steam, count enthalpy values of cycle performance, and predict the inlet temperature, mark steam deviations and efficiency range. Just assume, the relative deviations in the plant power output and efficiency must be less than 0.65% for 100% loads. Use MTALAB, it can solve your issue(Reference: Aklilu and Gilani adopted the normalized parameters from to describe the characteristics of compressor and turbine and developed a simulation model in MATLAB to identify the plant operation mode from field data. Zhang et al).
The simulation can follow the recycle modules.
The following assumptions perhaps you have made for simulating the pressure in power plant using Aspen.
1. Plant at Steady state (2) Fuel combustion (3) Cooling water flow (4) No water leak.
Refer the site:
file:///C:/Users/3020/Cookies/Desktop/Downloads/SimulatingcombinedcyclegasturbinepowerplantsinAspenHYSYS.pdf
Ashish
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Hi all :
Please, I need some help on Heat Radiation Transfer:
How I can derive the formula of the View Factor for a particular configuration, in a way of ending with an expression for the VF as a function of the geometrical parameters (dimensions, shapes and orientation) of the bodies involved ? Starting from general expression for the View Factor (Eq. attached)
Does anyone have derived such kind of expression for a given 'complex' configuration, starting from the general equation ?
Thank you for the Help
Best Regards !
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I am following the discussion...
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Hi all ,
How can I consider the Optical properties of a surface into the Stefan-Boltzmann law for a problem of Radiation Heat Transfer between a hot Body and a real Surface (namely, a surface with some Absorptivity, Emissivity and some Transmissivity). ?
Hope someone can help,
Best Regards !
Thank You,
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In the the Stefan-Boltzmann law , only one variable parameter is epsilon. This will come under heat exchange between surface. You need to feed the both the emissivity of surfaces which are considered.
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Dear all:
I need help, I hope there is someone out there who can help me.
I finish drawing the 2D geometry of an Air Solar Collector with an undulated absorber plate (in contrast with a flat plate absorber). This is a ~~~~~ shape plate to capture the sun radiation.
So I already added the materials and (try to) add the Physics to my model:
- Single Phase FLuid Flow - Laminar Flow
- Heat Transfer in Solids
- Heat Transfer in Fluids
But when I run the simulation, even though I have the Heat Transfer in Solids and the Heat Transfer in Fluids modules included in my model, the Results doesn't show whatsoever the Graphs for the Temperature Distribution, or contrours. Also the Pressure Results Graph doesn't shows anything
I'am attaching two images: on of my model's geometry, and one with the solution of the Velocities distribution, but this is as much as I can arrive to.
I'm sure I am doing something wrong with the Boundary Conditions I'm entering.
These are all the Boundary Conditions I'm trying to use :
i. Constant Radiation Heat Flux at the top of the glass cover.
ii. Constant Convection Heat Flux as Losses from the top of the glass cover to the ambient.
iii. Tried to establish a Constant Conduction Heat Flux from the bottom of the collector to the surroundings (to represent the Heat Conduction Losses from the bottom of the Collector to the roof and environment).
iv. Isothermal Walls at both of the sides of the air cavity.
v. The No-slip Boundary Condition (u=v=0) at the inside of all the walls of the air cavity.
vi. An entering Air Mass Flow from the left to the right of the bottom air cavity.
vii. I wanted to establish also and exiting Mass Flow at the right side of the bottom cavity, but couldn't. So instead, I established this Condition as a Pressure at the Outlet, as the Boundary Condition.
So I'm pretty sure I am doing something wrong with one or several of the BC.
I hope someon can give me some help me. I'll appreciate it
Thank You !
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Normally, apparent and effective heat capacity methods are used for melting or solidification simulation of phase change materials. What are the differences between them? Which is preferable, and why?
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Dear hakeem,
Phase change materials (PCMs) are classified according to their phase change process, temperature, and composition. Temperature-based models are divided into three categories: apparent heat capacity (AHC), effective heat capacity (EHC), and heat integration (HI) etc. The main issue existing in the apparent heat capacity method emerges when significant temperature changes occur (in a time step) in a control volume that is close to the phase change temperature.
The apparent heat capacity method, often referred to as the effective heat capacity method, takes into account the latent heat of the phase change by means of an artificial increase of the physical heat capacity in the temperature range of the phase change.
The effective heat capacity method is an improvement on the apparent heat capacity method. The value of the effective heat capacity (Ceff) is obtained through the integration in the control volume,
Ce f f = Integration Cap dV / V
where V is the control volume. It is worth mentioning that the adoption of the effective heat capacity method allows the use of higher time steps and smaller phase change intervals when compared with the apparent heat capacity method. However, the integration necessary for the calculation of effective heat capacity represents an increase in computational cost.
The solidification of a semi-transparent material by a front tracking method, computational demands of front tracking method can be reduced via the acceleration by means of graphics processing units and NVIDIA CUDA. Heat capacity methods with enthalpy and heat capacity both for solidification in various grain zones studies reveals that only very limited information is available about the computational demands and efficiency of front tracking methods. Browne et al. (2004) carried out simulations of the grain growth during the solidification of an alloy(look at the reference: {https://www.aidic.it/cet/17/61/171.pdf, Klimeš L., Štětina J., 2013, Parallel Dynamic Solidification Model of Continuous Steel Casting on GPU, 22th International Conference on Metallurgy and Material (METAL 2013), Brno, Czech Republic, 74-79- Results show that the front tracking method, which is accelerated by means of the GPU computing approach, can provide results having higher order accuracy than the other two interface capturing methods].
Hope this is helpful for you.
Ashish
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Dear all :
I'm trying to solve the following problem using COMSOL Multyphysics.
I have an enclosed geometry (please see the attached images) with a top flat surface (the celing) and an undulated shaped bottom surface (the floor). And I have Air as a medium enclosed inside this cavity.
So, I want to solve for fluid Velocities (u and v) distribution of the air inside the cavity, and for its Temperature distribution too.
So, I already included the physics modules: Laminar Flow (for single-Phase Fluid Flow) and Heat Transfer in Fluids.
However, I'm sure I'm doing something wrong witht he Boundary Conditions (it can be observen from the first attached image, that I don't get any velocities distribution for the air mass).
The BC I am trying to stablish are the following :
i. Isothermal Walls in all the interior walls of the cavity.
ii. No-slip Boundary Condition (u=v=0) in all the walls (on the inside) of the cavity.
iii. A constant Temperature at the upper flat surface
iv. A constant Temperature at the bottom (wavy floor) surface of the cavity.
Where the problem could be at ? The Velocity Stream Lines and Temperatures Contours should show a kind of oval spiral pattern at the top of each of the 'valleys' of the wavy bottom surface. But as depicted in the image, I don't get any valocities distribution.
I will really appreciate if someone can give some help.
Thank you all !
Best Regards !
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Thank you very much for your help, I already adjusted the "Pressure Point Constraint" and the reference value for the Pressure, and nothing.
I'll send you my model on Inbox, I'm using the Comsol's 5.1. ver
Thank you again , hopefully I was close to the answer, with the model, I'm sure you will be able to tell me what my problem was.
Regards !
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Hello to all:
I'm trying to think in the following interesting problem:
I have a system which are polycrystals (grains) of Bi2Te3 (actually this compound is a quaternary alloy of Bi, Te, Se and Sb). The grains ended coated with Carbon, in the form of Graphene Nanoplatelets: a stack of several (or could be many) Graphene single Layers.
Does anyone know, have experience or have literature references about the following questions:
1. How an increment in temperature will affect the Chemical Stability of the Bi2Te3-alloy ? for two scenarios:
i. A normal day-to-day working temperature between 10 °C - 37 °C
ii. Or in the scenario reaching the 100°C
And second. The same question but for the aging of the device, rather than the stability in function of the temperature.
or for both conditions for the matter of the subject.
If someone can comment something about, I'll appreciate it !
Best Regards !
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The interface between two phases is very important (regarding to Subhasis's answer)
DOI: 10.1016/j.diamond.2019.107561
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Dear Colleagues :
Does anyone have literature referencing the diffusion process of Carbon (I mean Carbon atoms) into Bismuth Telluride (Bi2Te3) or into some other compound alike ? E.g. PbTe, (Sb,Se)Bi2Te3, Sb2Te3, etc ... ?
I'll really appreciate if someone can help me out
Kind Regards Sirs !
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Wikipedia lists above 55 numbers, but are there any standard collection of dimensionless numbers and their interrelations?
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I do like both good answers related to Dears; Matija Perne and Kaveh Zamani . I don't have to think about the available dimensionless numbers, instead, I should understand my problem and determine precisely the numbers that are associated with it. Good luck,,,
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We are gonna built an experimental setup about the flow of supercritical CO2 under constant heat flux in stainless steel circular microtube (0.5 mm diameter and 300 mm length). It will be placed lots of T-type thermocouple along the tube to measure the wall and hence the bulk temperature. I would like to take your advice about the correct inserting types of thermocouples on the tube to take the better results. Regards,
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You could use a pure copper pipe and spot weld to it small constantan (0.1mm diameter) single wires so making a series of T thermocouples. Be sure they are not electrically shorted on the cold side.
The copper tube will also ensure a temperature very close to the pipe internal one.
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What will be the impact of Soret and Dufour coefficients on velocity, temperature and concentration profiles? and how the skin friction coefficient, heat and mass transfer coefficients behave with them?
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These effects are generallly negligible. Counter-examples are:
- for Soret effet the chemical composition of detached flows,
- for Dufour effect expansion of mixtures containing species of very different molecular masses.
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how to write heat and mass transfer equations in specify control volume for one dimensional(only height direction) in fixed bed combustion.
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I have some questions :
1. The "primary air" stream you drew entering to the reactor from the bottom.
How is it produced ? I mean, what is the mechanism which puts this aire in motion ? And, What is the Temperature of this air stream ?
2. What is the average temperature of the Albizia Lebbeck Sawdust ? Are you consider a uniform temperature in the z-direction ?
3. Does your reactor have some kind of insulating materials (since your drawing does n't show the reactor wall as layers of different materials) ?
4. Can you give a little more detail on how the combustion flame is in contact with the sawdust in the upper part?
I mean, is the flame, or combustion gases, in direct contact with the sawdust ? or you have any kind of contact interfase/heat transfer interfase ? a Heat exchanger ? to avoid having the sawdust mass in direct contact with the combustion gases ...
Best Regards !
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The thermal and Solutal dispersion always increase heat and mass transfer coefficients in fluid flow problems for similarity and non-similarity solution cases. why it is happening? and what is the flow behavior behind this?
Can anyone help me to understand the physical application of this?
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The heat transfer coefficient depends directly on the thermal conductivity of the fluid. Most dispersion are solids which have many order of magnitude higher thermal conductivity. Therefore, the mixture has higher thermal conductivity and then higher heat transfer coefficient. The solutal dispersion can be understood by analogy to heat transfer.
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Can we use infrared-transmitting materials like silicon (on upward-facing hemisphere of exhaust pipes) to dissipate heat energy from exhaust gases discharged from Generators, vehicles etc, through radiation, that can then be reflected towards space (upward forcing) by using deflectors (like aluminium coated surfaces)?
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Thank you very much Sir. I would like to use Silicon wafer for cost reduction.
Could you please share any reference on spectroscopy of carbon dioxide other than CDSD-1000?
Thank you so much for your help.
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I am working on heat transfer through a vertical hollow slender circular closed-ends-cylinder with air inside and no velocity, inside a solid material as shown in the attached image.
Neglected radiation, what the heat transfer mechanism (convection or conduction) should be used and how?
If conduction, K ,what is base on?
If convection, is there any method to calculate h for this case, such as Similarity Solution, Empirical correlation: Churchill and Chu, Morgan ,Raithby and Hollands, or others.
Best Regards,
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Leander Boer
How can you be so sure about Rayleigh number?
You should be able to measure temperature difference inside air bulk and wall of the cylinder for it.
There is concept called 'conduction shape factor' for such problems, you can find it in Cengel's Heat transfer book, McGraw Hill, also you can refer some Heat transfer data books for correlations of natural convection.
Link for your reference. Case 6 is helpful for you.
After finding inside wall temperature of the cylinder wall find natural convection coefficient for channel flow based on characteristic length along vertical direction (H).
You can also neglect convection and straight away consider conduction for the cylinder, it will be valid only after your Insulation condition holds.
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I want to design a heat exchanger which will operate in salty water. I want to know what material is corrosion resistant and has good thermal conductivity.
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There are some papers for cpt critical pitting temperature for NiMo alloys, that could help.
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Hi,
I am trying to measure temperature difference between inlet and outlet of a channel which is heated from upper wall. According to Q= m. Cp. DT formula 1 Celsius degree difference is expected (considering no heat loss) it will be lower in practice because of heat loss. My measurements give higher DT than 1 Celsius degree i.e. there is more heat gain than applied heating. The channel is insulated, room temperature is close to inlet temperature so this is unliklely. I am using K-type class 1 thermocouple, I wonder K-type thermocouple is true choice for such measurement or not? What else can I do for detection of correct heat loss or correct value of heat transfered from heater to fluid?
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You are in the realms of measuring very small temperature differences. Do you have access to any micro-scale welding apparatus and know someone who can use it! I would suggest that you make your own thermocouples using very fine wire, adding radiation shielding if necessary. For industrial applications the standard bead is several mm in diameter and enclosed in a sheath (for robustness). You need something much, much finer than that.
I don't know where you are located, but if stuck, talk to thermocouple suppliers in Europe or North America (USA or Canada). Many will give free knowledge/advice if you are doing fundamental research.
You will need a measuring device - it will need high input impedance. In addition, if your thermocouple output is in tiny fractions of a milli-volt, then I would suggest that you use a true second thermocouple in an ice bath rather than an automatic (assume internally generated) second junction.
Trust that the above helps.
Regards Stephen.
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Recently, researchers have focused on the use of nanofluids to improve the heat transfer of thermal systems despite the risk of using this technology and its high cost. Are there thermal systems in which the use of nanofluids is useless?
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If nanoparticles are uniformly suspended in base fluid and there are no signs of sedimentation and agglomeration then you can say that the use of nanofluid in thermal system is useful. On other hand if particles are agglomerated or settled in bottom of storage tank or the system through which they are flowing then thermal performance may be poor than simple base fluid.
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In the case of gas transport through microporous membranes (e.g. silica membranes), there is a temperature dependency behavior which affects the membrane performance at high temperatures. We know that it happens when kinetic diameter of the molecule approaches the pore diameter. I have read somewhere that LJ potential might plays big role in this.
Could anyone provide some information, text books or researches containing detailed description of this phenomenon?
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@Prem_Baboo
I truly appreciate you.
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I am interested in adding nanoparticles for different PCM for increasing heat transfer rates. What are the best nanoparticles for that? What is the procedure to make nanoparticles?
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Particles made of high thermal conductivity and low density such as Carbon nano spheres can be an ideal material for maximum heat transfer enhancement. However, stability can be an important aspect in the preparation of the nanofluid.
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Turbulent flow associated with a fluid is characterised by choatic flow of fluids. The energy and momentum interactions between fluid parcels during this flow, can also lead to production of charged species in the channel, under certain conditions. Is there any model or numerical model to study such changes?
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Ahmed Abdelhameed Is it possible that such conditions might happen in low mach number flows.
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Do you have the executable (or installation) file(s) of any latest version of Fluent Ansys software? If yes, please kindly share the link to download the software with me. Thanks
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Hi,
if you have a purchased ANSYS license, than your software vendor should provide you with a legal opportunity for the download of the ANSYS Software. Generally it is available through the ANSYS Customer Portal for registered ANSYS customers.
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Is it the reason for that TPS gives the higher conductivity value compared with that of steady state method?
In the below reference, Coquard et al (2006) mentioned: Hot wire method for thermal conductivity measurement has recently known a significant increase. However, this method is theoretically not applicable to materials where radiative heat transfer is not negligible such as low-density thermal insulators.
The theoretical results showed that when the EPS foam is too transparent to behave as an optically thick material (Rosseland approximation) the temperature rise near the wire is noticeably different and reaches higher values than for the corresponding fictitious purely conductive material. The influence of radiative transfer on the evolution of the estimated conductivity khot is then comparable to that observed when the thermal inertia of the wire is increased.
Coquard, R., Baillis, D., & Quenard, D. (2006). Experimental and theoretical study of the hot-wire method applied to low-density thermal insulators. International journal of heat and mass transfer, 49(23), 4511-4524.
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Answer from Dr. Silas E. Gustafsson - Pioneers of Thermal Conductivity Measurement( silas.gustafsson@thermetrol.se): Silas E. Gustafsson
a) The contact resistance between the probe and the substrate pieces:
When comparisons are made between data obtained with the Hot Disc (HD) method and those of most other methods, it should be remembered that the transport properties measured with this method are the properties of the substrate beyond the surface, where the structure starts to repeat itself and assumes stable or bulk properties. The reason why it is possible to avoid the influence from the thermal contact resistance between the sensing spiral of the probe and the first surface representing the “bulk” properties of the substrate stems from the fact that the transient recording of the thermal transport properties of the substrate is normally much longer than the time it takes to establish a constant temperature difference across the thin layer comprising the probe insulation and the surface roughness of the substrate (cf Gustavsson, J. S., M. Gustavsson, and S. E. Gustafsson. (1998). On the Use of the Hot Disk Thermal Constants Analyser for Measuring the Thermal Conductivity of Thin Samples of Electrically Insulating Materials. Thermal Conductivity 24, Technomic Publ. Co. Inc., pp 116 -122.). In this paper we discussed how to separate the thermal contact resistance between the probe and the substrate from the transiently recorded data in this ITCC communication some 20 years ago. After this conference professor Cahill applied the suggested procedure for all the measurements he has made on very thin insulating layers with his 3-omega method. The reason why it is possible to separate the thermal contact resistance between the probe and the substrate surface from the measurements of the bulk of the substrate is the different time scales we are dealing with.
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I want to extract heat from stationary saline hot water. Saline water is at a temperature of 60C. I want to heat up another fluid from 25 to 50C. LMTD is 14.06, di =16mm do=20mm, length of one tube=1.8 m; I also want to calculate the number of tubes required?
Which method should be applied to find out optimum mass flow rate ?
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Having known, Th1, Tc1,, Tc2, LMTD, di, do and L, Here could be the steps to determine mass flow rates of both fluids: (1). Determine Th2 from the equation, assuming counter flow, LMTD = [(Th1 - Tc2) - (Th2, -Tc1)]/ loge ((Th1 - Tc2)/ (Th2, -Tc1)), (2). Overall heat transfer coefficient (U) is estimated by taking two heat transfer coefficients for saline water and other fluid from tables in data book. and estimating as appropriately as 1/U = 1/h(saline water) + 1/h(another fluid). (3). Using the equations, UA/(mccpc) = (Tc2- Tc1)/LMTD and UA/(mhcph) = (Th1- Th2)/LMTD , where A is surface area, 3.1417 do L , mc mh, cpc, cph are mass flow rates and specific heats of cold and hot fluids 9determined by temperatures of fluid at bulk temperatures from data book, mass flow rates can be determined. (4).Heat transfer (Q) = mccpc (Tc2- Tc1) can be determined. (5). After getting, Q, number of tubes (N) is estimated by, Q = U N A LMTD, where A represents for single tube.
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i am simulating heat and mass transfer in wickless heat pipe i.e.,thermosyphons .As i have read implicit scheme is unconditionally stable and also there is courant no. issue in explicit scheme.So,ca i go for implicit scheme and how will it impact my result?
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In general, results from both schemes may agree very well and may not. You may have unstable results with explicit way.
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Hello , for which percent we can trust in numerical solution results for energy and fluid flow problems in Fluent , Comsol , ... etc ?
Please verify the percentage for which software.
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you can be fairly certain, then all commercial codes available on the market are free of coding and algorithmic errors, i.e. they implement a numerical method for the solution of your problem correctly.
However, the numerical method itself, inherently, includes sources of error. These come primarily from space and time discretization (computational grid density and time step) as well as from which method has been used and terms up to which order have been neglected.
Furthermore, the mathematical-physical model, employed to describe the process you are simulating, is usually also an approximation of reality. For example, we know fluid viscosity is temperature dependent, but we choose to neglect that in our simulations, etc.
If the problem simulated is non-linear, a user-prescribed criterion is usually used to set the desired lowering of the error norms, which also contributes to the overall error.
My suggestion is to first identify all sources of error and try to keep them of the same order.
Secondly, one should always perform a nodalization analysis (and possibly a Richardson extrapolation) to examine, how the solution changes when different grids and time steps are used.
A short answer to your question, it is impossible to give a percentage to estimate the accuracy of a simulation. And beware, the accuracy does indeed depend on the expertise of the engineer doing the simulation.
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Many researchers have been interested in improving the heat transfer of the thermal systems using nanofluids. Many theoretical and experimental studies have been conducted on this subject. What is your opinion that some of the published researches on the subject of heat transfer enhancement using nanofluids are inapplicable and useless?
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Examples: Lot of research applications of Nano fluids in 1. automobile radiators, 2. heat exchangers (double pipe, plate, shell and tube etc.), 3. In I..C. engine along with bio diesel etc.
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Hi, can we get the steady state solution directly of TPCT in Ansys / Fluent ?
Or, we should use transient solution till reach the final steady state ?
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certainly.
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i'm simulating two phase heat and mass transfer inside two phase closed thermosyphon in the attached below 2-D axisymmetric domain.
I've splitted the domain into three parts in Ansys space claim.Can anyone help me with the steps next to follow?
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i'm simulating heat and mass transfer inside  two phase closed thermosyphon using 2-d axysymmetric geometry.i've selected pressure based solver and transient.I am using ANSYS /FLUENT 19 student version .VOF method with Lee Model is used . Water is used as secondary phase and Vapor is used as primary phase. SIMPLE algorithm scheme for pressure velocity coupling and a first order upwind scheme for the determination of momentum and energy is included in the model. Geo –Reconstruct and PRESTO discretization for the volume fraction and pressure interpolation scheme, respectively, are also performed in these simulations. but,after running the calculation,contour is showing phase change only in the evaporator region as shown in attached figure.I've also patched the liquid water fill ratio with volume fraction=1 in the evaporator region.Can anyone help me out?
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i'm simulating heat and mass transfer inside two phase closed thermosyphon.I'm using VOF model to simulate.The density of liquid is varying as .𝜌 𝐿 = 859.0083 + 1.252209 𝑇 − 0.0026429𝑇 2 .can anyone help me with UDF of the above equation.
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thank you Karol sir
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I am looking for literature to aid me with the explanation and discussion of experimental results (saturated pool boiling of water at atmospheric pressure on copper surfaces) where a shift of the boiling curve towards lower superheats and a decrease of CHF were recorded; this trend was noted after the first onset of CHF. I am interested in literature that deals with the change of both the boiling process and surface characteristics (wettability, topography, chemistry etc.) after the first onset of CHF. Also, any literature about the (possible) shift of the boiling curve in repeated experiments on the same surface (as a consequence of CHF onset and transition to film boiling, where possible low-temperature annealing occurs) would be most welcome. So far, a search lasting several hours yielded no results.
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An empirical analysis is an evidence-based approach to the study and interpretation of information. Are you looking for facts to support your introduction of Boussinesq approximation and/or buoyancy induced flow?
Do you know if any of your student finds it difficult to discuss the effects of increasing the magnitude of Grashof number on any transport phenomenon?
Are you looking for a way to help your research students to learn theoretical/conceptual review and empirical review of published articles. Click the link below.
Bibliography: Scrutinization of the effects of Grashof number on the flow of different fluids driven by convection over various surfaces. Journal of Molecular Liquids 249, 980–990, 2018.https://doi.org/10.1016/j.molliq.2017.11.042
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Thanks for the knowledge shared
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Usually mass transfer is described with the following equation: m = A*U*dc, where dc is the difference in concentration of a component between two phases, or a phase and the interface...
Fick's law of diffusion also uses the difference in concentration.
In reality, the driving force for mass transfer is the difference in chemical potential, which depends not only on the concentration but also on temperature and pressure.
Why then is the difference in concentration usually applied? In which cases can/can't it be applied?
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Dear Tom,
thank you very much for all the references, comments and reflexions :)
Here I found a document that relates the cocentration gradient in the Fick law with the chemical potential gradient, but, as you said, I think it is obtained using analogy...
Regards,
Cristina
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Coding and simultaneous solving heat and porous equations
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It is a common mistake to begin an analysis of a real problem from consideration of one or another mathematical formulation. Please follow the natural logical sequence in any study: (1) A complete analysis of the engineering problem including the ranges of the main parameters and physical (thermal, optical, mechanical, etc.) properties of real substances; (2) An appropriate physical model of the process under consideration with clear formulation of all the physical assumptions; (3) Complete mathematical formulation for the physical problem including coupled equations, initial and boundary conditions and the semi-empirical relations for the physical parameters that complete the problem.
If you miss the stages (1) and (2), your work will look as a useless mathematical exercise only. I am sorry, but I am regularly rejecting such manuscripts submitted to scientific journals.
Please note that two coupled energy equations are usually important to describe correctly the heat transfer in porous media.
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Where could I find related literature regarding this? I am currently working on studies on heat pipe and I would like to conduct some experiments on wicked heat pipe as a part of my research.
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Using nanoparticles in phase change materials (PCM) Improves thermal conductivity. Increased thermal conductivity allows for a faster rate of heat transfer in PCM, reducing the time required for the PCM to undergo a complete charge or discharge. On the other hand, to improve the thermal performance of PCMs, the discharge time should be increased.
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You can always vary the loading of nanoparticles to vary the thermal conductivity. Similarly, microcapsule with various nanoparticle inclusion can be utilized to vary the thermal conductivity. Remember, the increasing thermal conductivity of organic PCM is difficult and the reverse is easy. Discharge time increase will increase the response time too. Always a compromise has to be done.
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I am a PhD student, I use Fluent and I study a countercurrent evaporator with a return surface that will be used to cool a room.
the outside hot air is sucked through the Dry channel (bottom), a part is returned in the wet channel (above), in this channel it overhangs a film of water to cause evaporation and at the same time an exchange heat, which helps to reduce the air temperature in the dry channel and will be used for cooling the room.
my problem is in the part of the wet canal. Fluent does not consider the moisture content in the energy equation or in any other way does not take into account the evaporation phenomenon and mass transfer in this part.
Edit : we did the following steps:
General :
Type -> pressured-Based
Velocity formulation -> absolute
Time -> Steady
2D Space -> Planar
no Gravity
Models :
Multiphase (VOF) -> Evaporation-Condensation
3 Phases -> water, Vapor, Air
Energy : On
Viscous : Laminar
Species (Species Transport)
but the simulation didn't work
we have convergence but there is no mass transfer in the Wet Channel (Above). Fluent does not want to take into account the mass transfer of the water film to the ambient air of the wet channel and the temperature of the air in the wet channel is at the same temperature of the water.
and if we do not apply a temperature to the water, everything puts in the temperature of the Inlet (or almost).
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Hi!
It seems that you have not included mass-transfer in the simulation. Species transport might not be suitable for your case.
You can follow the following steps:
1. Go to phase tab and click on interaction
2. Enable mass transfer mechanism and select evaporation and condensation (Refer attached figure)
Setup all the corresponding parameters according to the physics of your problem.
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In my case , I need to heat stream from 560 to 610 C by using steam at 730 C . Is it possible to use shell and tube heat exchanges ?
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Yes , Dear Rick . In this project , there was a design mistake . Instead of fired heater , shell and tube heat exchanges was used . When I realize it , it was very late and I should deal with high temperature shell and tube heat chargers . This was a bachelor degree final year project and I have finished it already .
Thanks to all of reserachgate members who had made a contribution or tried to make a contribution . Thanks you all for sharing knowledge .
There is no wealth like knowledge,and no poverty like ignorance.
(Buddha )
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In heat conservation, we have "heat flux - heat generated+heat gained=0". Normally, heat flux will inside kinetic coefficient(K) and heat gained will be in capacity coefficient(C). So,what about the heat generated(source) if its consider inside the system..
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This may help you.
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Before I used flowmeter of plan type manufactured by cptec in lille.
Now   i dont know what are the latest invention in this field
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please i need more information about ATES system
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I am performing pool boiling experiment using water as the working fluid. To avoid any type of solid deposition on the boiling surface (copper in my case), which type of water should be preferred- distilled, deionized or millipore?
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Does not matter (I am talking about good DI water system, they could be very different)
In terms of purity/resistivity the best is millipore. DI water could be both better and worse than distilled water, depending on a system; theoretically DI water should be better.
Generally for boiling distilled water is the worst one, but if DI system is a suspicious one then distilled water should be preferred.
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I am looking for the microchannel's most important applications between:
- Micro-electronic Thermal Management
- Solar Collectors
- Space Machines Cooling
- Drilling Devices
and etc ...
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Dear Karam Mohammed
your comment is useful, thanks.
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Seeking an explanation with regards to the change in the flow field.
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I'm trying to calculate the time taken for the temperature of oil in an insulated tank to drop from 45degC to 15degC when the ambient temperature is -40deg. I want to estimate the time both in still and at a given wind speed (forced convection). What is the best approach to model this problem? Can the lumped capacitance method work for this scenario given that there is insulation present?
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Dear Obiajulu,
This article may help you.
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Mass transfer
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Dear Mohammad,
Please find the attached article. These articles may be helpful for you.
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There are two heat transfer enhancement techniques: passive and active. The use of nanofluid showed an enhancement in convection heat transfer in many industrial applications. This method can be classified as passive or active technique?
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All Additives (gas into liquides; air bubles in liquids or solid suspension in liquids "nanofluids") are considered as passive techniques, cuz they don't need any external input or power contrary to active techniques.
Greetings
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The heat transfer enhancement techniques are widely used in many applications in the heating process to enhance the thermal performance of heat exchangers. On the other hand, nanofluids were used for the same purpose. What is the secret of focus in the use of nanofluids to enhance the thermal performance despite the risk of using them ?
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Dear Dr. hayder,
As we know Nanofluids shows an effective thermophysical properties as a bulk fluids compared to host fluids which led to enhance heat exchange systems, in my point of view, that is depend on the application that you want to use nanofluid in. for example; in boiling application and as Mr. Nikolai mentioned above the nanofluid play a vital role to enhance the critical heat flux and sometimes the heat transfer coefficient because of deposition of nanoarticles on heating surface which formed a porous layer lead to wettability enhancement due to decreasing contact angle of liquid droplet on heating surface. Anyway, there is no risk to use them but there are some challenges should to overcome and make them commercially applicable. I chose this example because nanoparticles in such application have to major roles
1- Bulk effect that associated with thermophysiacl properties enhancement
2- Surface modification effect associated with of wettability, contact angle, and surface roughness etc.
My regards
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Nanofluids widely used to enhance heat transfer because of increase in thermal conductivity, at the same time the pressure drop increases as a result of an increase in viscosity of the new fluid. It is accompanied by smaller temperature gradients within the fluid and larger pressure drops when increasing the nanoparticle concentration. Pressure drop has a large effect on the exergy loss. Why is the exergy efficiency increased when using nanofluids?
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Dr / Hayder Jaffal
i think to study the whole performance it is recommended to investigate the performance evaluation criteria rather than the exergy. In the other hand, increasing the exergy gain it is due to the reduction in the exergy destruction that depends on the degree of motion of the particle of fluid that decreases with increasing the volume fraction.
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Related experimental work
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Unfortunately, the answer is "it depends". There is no optimum number of experimental trials. In terms of random errors... the standard deviation (and subsequently confidence intervals) decreases as the number of trials increases. Thus, the standard deviation would approach zero as the number of trials approaches infinity. Generally, you should find a confidence interval (most likely based on a Student's t-distribution) that gives you an interval that you deem satisfactory. However, increasing the number of trials only impacts the precision of your results. To increase the accuracy of your results you would have to address systematic errors (due to equipment accuracy and the propagation of uncertainty). Wheeler and Ganji have a really great text that addresses your question in detail. Reference below.
Wheeler, A. J., and Ganji, A. R., 2009, Introduction to Engineering Experimentation, 3rd Edition.
ISBN-13: 978-0131742765
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The researchers dealt with nanofluid technology in various thermal systems in order to improve the thermal performance of these systems. Is the use of nanofluid more effective in the natural convection systems or forced convection systems?
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Nano fluids will be more viscous compared to the base fluid. You will increase the pumping loss in forced convection. But amount of fluid to be circulated can be decreased due to its better thermal conductivity.
You may please have a look at this
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Ribs are used on rectangular channel surfaces to promote turbulence and enhance thermal performance. Different shapes has been performed such as rectangular rib, triangular rib, V- ribs , inverted V-ribs, broken V- ribs, semicircular V- ribs. These ribs increase the level of mixing of the cooler core air with the warmer air close to the channel sidewalls and restart the boundary layer after flow reattachment between ribs resulting in enhanced convective heat transfer coefficients. What is the permissible range of the ratio of rib height to channel hydraulic diameter (e/Dh)?
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Dear Hayder
Many geometric parameters such as rib cross-sectional area, rib angle with the flow direction, rib height relative to the passage hydraulic diameter, rib pitch-to-height ratio, rib aspect ratio, etc…) have effects on the overall equivalent heat transfer coefficient.
Take a look at this pdf file :
Regards
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We have a open top box container made of Stainless Steel sheets and want to heat the 5 surfaces from their exterior. The container has dimensions of 6.5 x 11.5 x 16.5 cm3.
Constraints of design are:
1) Must be thinner than 3-4 mm of thickness added to each side.
2) Must be easily battery powered.
3) Variable control of temperature
4) Total power output of 800 W (for all 5 sides)
Methods we have currently researched are Ni-chrome wire(Resistive Wire), Ni Chrome Mesh(Resistive Mesh) and Silicone Rubber Heaters. Please inform me of a better method or which of the mentioned methods is the most optimal.
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Depending on the design / application an induction heater could be 80 to 95% efficient and can work from virtually any voltage. Current levels are the primary issue - to get 800 watts at 12 volts requires 67 amps. You will not get this from a string of AAA's !
If you use a flat coil, with 2 axis dimensions the same or slightly smaller than your container then the EM field will largely be consumed by the steel, with very little leakage. These coils are commonly used in domestic cookers with almost no interference to radios etc. The leakage signal is generally lensed towards the ground where it is absorbed. Faraday cages are almost never used. If your application is military then you will have to prove this to your customer in the qualification process, but this isn't difficult.
If you prefer a wrap-around design then the high frequency solenoid equations come into play and although the energy is more focussed into the container, there is slightly more leakage / interference.
With respect to safety, as long as these units are robustly designed then they are much safer than resistive heating elements as they do not of themselves heat up to any large degree. You can put your hand on the coil without being burned.
There are lots of designs on the internet for similar heaters and I will refer you to them. You will find that increased induction frequency will generally reduce the size of the unit needed.
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What is the relation between water mass flow rate and the width of a forced draft wet cooling tower?
Is there any rules (of thumbs) to determine the width of a wet forced draft cooling tower for a specific load of hot water? How can we estimate the width of tower?
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Thanks Shahin Khosharay. I will look at it
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We are trying to simulate mixing of two streams of different chemical concentrations.
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Yes Ahmad Faris Ismail Sir, there are many multiphase fluids options in Comsol.
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In the last decade, nanofluids have attracted more attention as a new method of enhancement heat transfer properties for various industrial applications. Researchers found that although the nanfluid enhance the heat transfer rate of the fluids, the nanoparticles also cause an increase of viscous and further causes an increase of the power consumption to pump the nanofluids. Is there any study that highlights the cost of using nanofluids?
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Practically speaking, nanofluids are expensive. In the recent study by Yuan and Wang (2018) it was remarked that despite the amazing performance of nanoparticles to solve problems, the high cost of nanofluids utilization is always one of the most important reasons that may hinder the application
of nanofluids in the industry.
Yuan, B., & Wang, W. (2018). Using nanofluids to control fines migration for oil recovery: Nanofluids co-injection or nanofluids pre-flush?-A comprehensive answer. Fuel, 215, 474-483.
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The performance of heat exchanger can be substantially improved by a number of augmentation techniques. One of these methods is Nanotechnology. Nanofluid widely used to enhance Nusselt number because of increase in thermal conductivity, at the same time the pressure drop increases as a result of an increase in viscosity of the new fluid. In order to quantify the overall thermal performance of the system that used Nanofluid, any criteria on how to evaluate the thermal–hydraulic performance used for this system ?
Thank you
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Hello, we are measuring the behaviour of a nanofluid in a real system, and over the theoretical method, we are checking before and after, preasure, temperature, fouling, overthemp alarms in the system, and then, density, wind speed and all other systems themperature, after the test we will check as well all the pipes cleanness and chekc with the previous condition.
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Have you once reported the effects of Brownian motion and/or thermophoresis parameters on the flow of any kind of nanofluid? Or you have once studied a related report on the subject matter!!! If yes, feel free to share the bibliography.
The main purpose is to scrutinize the effects of these parameters. Kindly note that the article will be cited appropriately.
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Go to this article/link " ", you'll find the information regarding your query.
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For natural convection heat transfer of the heat sink with different fin configurations such as straight radial fins and pin fins, how can I calculate the characteristics length in radial heat sink to calculate Nusselt number?
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Ok, in this situation, I would suggest to use a parameter which is existed in all models and unchangeable. Besides, you can use heat transfer coefficient or thermal resistance to demonstrate thermal performance instead of Nusselt. Good luck.
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Hi everyone,
I am trying to model heat and mass transfer in a pipe flow that is opened along two screen intervals (see attached file). For that purpose I use the non-isothermal pipe-flow interface coupled with Darcy's law and heat transfer in porous media interface.
Because of the length involved, I do not want to solve heat and flow in complete 3D along borehole and I used the 1D edge element to model the heat transfer (provided with the non-isothermal interface). It appears accounting for screened intervals is not trivial. For that I used fracture flow in porous media, which is an extension of Darcy's Law for highly conductive element. It allows the fluid to go in and out from the pipe with reference to reservoir pressure and temperature.
Therefore I had a few questions : is it the best way to account for opened interval in pipe flow ? What could be the boundary conditions related to pipe inlet/outlet and fracture flow ? How can I achieve coupling between physics ?
Thank you for any help you can give on this issue.
Best regards.
Morgan Le Lous
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Dear Abderrachid Hamrani,
Thank you for your answer. As specified, a full 3D mesh is not an option considering the model size. Thus the proposed method does not seem to fulfill the requirements of such study.
In the meantime, I found a solution that is to connect the 1D well pipe geometries (non-isothermal flow physics) to the 2D well screen geometries (fracture Darcy’s Law and fracture heat transfer in porous media physics). Connections are made with the integration operator and the average operator set in the definition section. Fracture is automatically integrated to the 3D Darcy’s Law and heat transfer in porous media physics dealing with reservoir output variables.
This methodology, applied on a small pilot model, is described on the file added to this post.
Best regards.
--
Morgan
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Actually i am new to COMSOL so don't know much about it. I want to analyze the heat and mass transfer simultaneously so kindly tell me how to proceed. It will be a great help.
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Dear Imdad
Try to follow this paper
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Exergy / Available energy is being lost in several engineering processes. It is of prime interest in the field of heat transfer. Is there any numerical models (or) some minor numerical works developed based on exergy destruction?
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You must take into account two thing:
1.- Exergy destruction is an internal phenomenon, refers to the exergy destroyed due to irreversibilities within a component system (like irreversibilities inside a combustion, exergy destruction during the combustion process as function of engine operating and design parameters)
2.- Exergy losse is seen as external irreversibilities (Transfer of exergy from the overall system to its surroundings. This exergy transfer is not further used in this or another system)
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As the solubility of gas in liquid decrease with increase in temperature, is there any possibilities to increase the CO2 solubility in the water around 50-80 C?
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Increase pH!
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I have a system where a liquid droplet, which is internally stirred by gas bubbles , moving in an liquid-gas emulsion phase. I need to calculate  the mass transfer coefficient at liquid drop and the emulsion interface. Can anyone give some idea how to calculate the mass transfer coefficient in such systems?
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Hi Bapin,
I think our recent paper suggested by Ameya contains the answer.  With the very high rates of gas bubbling in bloated droplets, I think it is simplest to consider surface renewal to get mass transfer coefficients. Please note, there is an error in Table VI of the paper. The values we actually used for diffusivity of Phos in the metal are as presented below.
Parameter              Diffusivity*10^5 /(cm2/s) [37]
1813K(1540 oC)      1.86
1853K(1580 oC)      2.14
1913K(1640 oC)      2.62
I hope this helps.
Ken
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Hello Researchers,
                            I am trying to develop a transient heat transfer model for a solid-solid device with internal heat generation using the basic Fourier's equation. I have attached an image that can well describe my problem. I am encountering a challenge in my model , i.e., When trying to obtain an exact solution using inverse Laplace transform approach, the equation involves computing residues for many terms , which makes the model too complicated.
Can anyone suggest me a model that avoids complexity by providing a compact infinite series solution? Thanks 
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Hi
Please check with the following book, hope this will help you:
Carnahan B., Luther H.A. and Wilkes J.O., 1969 “Applied Numerical Methods”, John Wiley and sons, New York.
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I want to analyse the heat transfer characteristics for my material. For that i am planning to heat the temperature by 10 deg from atmospheric temp. Is this 10 deg rise in temp is sufficient to analyse the heat transfer characteristics?
My material is carbon steel. 
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Dear Shiva S,
Its ok. Thank you for your suggestions sir.
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I have a coupled darcy flow and heat transfer in porous media module in COMSOL.
I would like to independently know the temperature of the fluid and temperature of the porous medium separately, however I see only one temperature. Does anyone know how to incorporate 2 temperatures?
The same has been raised in a COMSOL thread also.
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Given that the question was in 2014, this answer may now be superfluous....
I agree with Prof Dong Chen - you need to have two different heat transport equations, one for the solid phase and one for the fluid phase. This is known as Local Thermal NonEquilibrium (LTNE), and is now well-studied.
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I need to model mass transfer of a spray type of deaerator with consideration of heat transfer and variation droplet radius with time due condensation.
anyone can help me to obtain equations about it ?
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Dear Alireza,
I do not know if you have solved this question. I am working in the design of a deaireator and I have some problems to define well the heat and mass transfer in the second stage of the spray desaireator. Do you have some extra information about this phenomena?
Sincerely,
Sergio.
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there is some materials which called self-regulating or self-controlling temperature materials and used in heating elements (some ceramics which called PTC). is that possible use these materials to make a complex body or wall constant temperature in the presence of water flow?
or do you know any way to apply constant temperature boundary condition on them? by the way body immersed in the fluid flow and I can't use phase changing.
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Dear Mohsen,
You can use Thermoelectric cooling chip for applying almost constant temperature boundary condition which obeys Peltier law; otherwise if it is macro-scale heat exchanger, and you want to apply constant temperature boundary condition on side, you can make kind of  shell and tube heat exchanger. There are lots of articles that you can easily go through.
Kindest regards,
Hamidreza Rastan
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For better heat and mass transfer , which configuration of heat exchanger is best in adsorber bed for adsorption refrigerator/chiller. 
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Shell and tube exchanger has relatevely the best heat exchanging rate form contact surface area,thermal mass flow rate and configration point of view. However the effect of design style of chiller has certain effects and this may be taken into consideration.
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I used heat flux pads to measure the heat flux between an animal and the substrate below. However, the animal's behaviour meant that it was only possible to place the pads between animal and substrate for a limited period of time. As a result, the curves created from the pad's readings appear to still be 'settling', (slightly increasing or decreasing). I believe this could be overcome by repeating with slightly thinner pads in the field, but unfortunately this is not possible at this time.
I was looking for suggestions on the extraction of data from this from anyone who might have worked with heat flux previously or others. So far I have tried some curve fitting to attempt to estimate the final values, but none has looked good.
For instance, how settled must the line be before it is a good estimation of actual heat flux? Can anyone suggest a good curve fitting method for estimation of the final settled value? 
See attached for example curve (green and blue show temperature of substrate and animal surfaces, respectively, with red showing the resultant heat flux; black shows heat flux between the dorsal side of the animal and air).
Many thanks,
Tom
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Not a problem; if the dog is inside. Only 2 heat  pathways long wave radiation from the dog and long wave ration from the floor;ceiling; and walls.
Qa (dog) = ∈σ(°C + 273.3)4    Qa (Wm-2)
∈ = 0.98 (emissivity)
σ = 5.673 x 10-8 Wm-2°K-4
°C = the average of 3-5 temperature measurements on surface of the dog
Same equation for the heat coming from the room except for °C 
°C = the average of the surface temperatures foor-walls-ceiling
You can also measure insulation with these measurements
V.A. Langman, S.L. Langman, and N. Ellifrit. 2015.Seasonal Acclimatization Determined by Non-Invasive Measurements of Coat Insulation. Zoo Biology 34: 368–373 (2015)
The equations will give heat from animal and room. Hope it helps; 
V.A. Langman, Ph.D.  Specialist Biophysics; Center for Animal Welfare, Beacon Facility mailstop 1180, 2312 E Bannister Road, Kansas City, MO 64131
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Hello everyone
I’m going to calculate the convective heat transfer coefficient in a channel (or Duct).
What is the most accurate correlation for the Nusselt number in channel for 2300 <Re < 3000 and Pr > 0.7.
Is there any good source (specifically Review papers) for studying about this matter?
Best Regards.
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The Dittus-Boelter correlation can be used for:
1) Turbulent forced convection in
2) Smooth circular pipe
In your case, if your geometry is rectangular (as it seems, judging by the attached picture) this correlation is not appropriate. If this is the case, you have to pay attention to the geometry details. Find the channel's aspect ratio (width/height) and then check for this specific aspect ratio the respective Nusselt number, because the Nusselt number for rectangular ducts is a also a function of their aspect ratio. Check the 2 references that I provided in my earlier answer.
If your geometry is circular (smooth) pipe you could use Dittus-Boelter correlation only if your flow is in the fully turbulent regime. But generally is not considered the most accurate, like Gnielinksi's or Churchill's correlation. You stated that you are interested in 2300<Re<3000 which means that even for circular duct the flow is not fully turbulent and this correlation will give your erroneous results. For transitional flows in circular pipes (2300<Re<4000 approximately) the situation is more complex. For this check:
I) Abraham, J. P., Sparrow, E. M., & Minkowycz, W. J. (2011). Internal-flow Nusselt numbers for the low-Reynolds-number end of the laminar-to-turbulent transition regime. International Journal of Heat and Mass Transfer, 54(1), 584-588.
Keep in mind that in any case you have to take also into consideration your thermal boundary condition for the appropriate Nusselt correlation (e.g. constant temperature, constant heat flux etc.)
Regards,
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I'm trying to figure out the reason why the mysterious sign change occurs in derivation of the interphase mass transfer.
In most of textbooks we can find following derivation for molar rates of diffusions:
The transfer of species from the gas bulk phase to the phase interface:
N = k_g*A*(p_bulk-p_interface)
The transfer of species from the interface to the liquid bulk:
N = k_l*A*(c_interface-c_bulk)
And equating both equations leads to derivation of the overall mass transfer coefficients (for full details check for example: http://www.separationprocesses.com/Absorption/GA_Chp02d.htm).
But in articles concerning determination of gas-liquid absorption kinetics suddenly minus sign shows up when equating molar rates from the gas bulk to the interface and from the interface to the gas bulk. For example in Kucka, L., J. Richter, E. Y. Kenig, and A. Gorak. ‘Determination of Gas–liquid Reaction Kinetics with a Stirred Cell Reactor’. Separation and Purification Technology 31, no. 2 (2003): 163–175. we can find following equation:
d(n_l)/dt = k_l*A*(c_interface-c_bulk) = -d(n_g)/dt  (attached file).
I know that both derivations are correct, but I can't figure out why. Often a sentence is added that this equation is derived from mass conservation principle. 
Is it caused by the flow direction issue? But why those two derivations differs?
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Hello,
it is just to confirm I agree with this discussion. The sign of the term depends strongly on the point of view : from the gas, from the liquid, to the liquid...and at which scale we write the balance equation (at the interface or at the size of the reactor).
Regards
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Based on the paper :
Properties of CMC
HEAT-TRANSFER CHARACTERISTICS OF A NON-NEWTONIAN
Au NANOFLUID IN A CUBICAL ENCLOSURE WITH
DIFFERENTIALLY HEATED SIDE WALLS
Properties of water
Heat and mass transfer of unsteady natural convection flow of some nanofluids past a vertical infinite flat plate with radiation effect
TQ
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TQ for your help 
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What is the physical properties of CELdek packed bed of cellulose paper " thermal conductivity, specific heat and density"
How these properties are affected by the absorbed desiccant solutions
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Look at this doc it may be helpful for your topic. Good luck.