Alexander Nee- PhD
- Tomsk Polytechnic University
Alexander Nee
- PhD
- Tomsk Polytechnic University
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38
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Publications (38)
In this study, a hybrid model for 3D natural convection combined with surface thermal radiation in a closed differentially heated cube was developed. Within this model, numerical procedure for fluid flow was considered in terms of the lattice Boltzmann method under Bhatnagar-Gross-Krook approximation with D3Q19 scheme. On the other hand, unsteady t...
This paper provides an analysis of the numerical performance of a hybrid computational fluid dynamics (CFD) solver for 3D natural convection. We propose to use the lattice Boltzmann equations with the two-relaxation time approximation for the fluid flow, whereas thermodynamics is described by the macroscopic energy equation with the finite differen...
The present research is focused on numerical analysis of heat transfer and fluid flow patterns when taking into account conduction, natural convection and surface thermal radiation under three-dimensional problem formulation. A hybrid mathematical model coupling the mesoscopic lattice Boltzmann equations with the macroscopic energy equation is buil...
An analysis has been conducted for the computational performance of a hybrid mathematical model for investigating the laws of thermogravitational flows. Hydrodynamic processes were calculated using mesoscopic lattice Boltzmann equations, and thermodynamic processes were described on the basis of a finite-difference solution of a macroscopic energy...
A hybrid (LB–FD) mathematical model has been constructed to investigate thermogravitational convection in closed rectangular cavities limited on one side by a heat-conducting wall of finite thickness. Within the framework of the formulated approach, the hydrodynamics is simulated by the lattice Boltzmann equation method using a Bhatnagar–Gross–Kroo...
A hybrid mesomacroscopic approach has been developed for modeling developed turbulent thermogravitational flows in closed rectangular differentially heated regions. Within the framework of the formulated approach, it is proposed to use the mesoscopic lattice Boltzmann equations to describe gas-dynamical processes, and the macroscopic energy equatio...
In this study, the hybrid lattice Boltzmann scheme is introduced for three-dimensional heat transfer by conduction, natural convection and radiation. The mesoscopic LBGK model with the D3Q19 stencil is used to describe the flow pattern whereas the thermal model is formulated in terms of the finite difference solution of the macroscopic energy equat...
In this paper, a hybrid computational fluid dynamics technique is proposed to study turbulent flow and conjugate heat transfer patterns. A typical shaped room with a radiant heating panel is considered. The mesoscopic lattice Boltzmann method coupled with the finite difference solution of macroscopic energy equation is used to compute the thermal a...
This paper examines the capability of hybrid lattice Boltzmann method to simulate developed turbulent buoyancy-driven flows in closed rectangular cavities. The two-relaxation time mesoscopic lattice Boltzmann method is used as a fluid dynamics solver, whereas the thermal behavior is described in terms of the macroscopic energy equation. Numerical s...
A hybrid model has been developed for the analysis of the process of combined mass and heat transfer in closed rectangular cavities under the conditions of volumetric radiation of a medium. Within the framework of the formulated method, hydrodynamics is described by the mesoscopic lattice Boltzmann method, and the macroscopic equations of energy an...
This paper analyzes the interaction of high Rayleigh number flow with conjugate heat transfer. The two-relaxation time lattice Boltzmann is used as a turbulent buoyancy-driven flow solver whereas the implicit finite difference technique is applied as a heat transfer solver. An in-house numerical code is developed and successfully validated on typic...
The capability of hybrid lattice Boltzmann–finite difference model in simulation of laminar and turbulent three-dimensional (3D) natural convection was examined. Fluid dynamics was computed by means of the lattice Boltzmann method and the finite difference solver was used for advection-diffusion equation. It was found that both two-dimensional and...
In this study, a hybrid model was developed to analyze the three-dimensional natural convection in a cubic cavity filled with a radiatively non-participating medium and bounded by thermally conductive finite thickness walls. Within this model, fluid flow was simulated by the mesoscopic lattice Boltzmann method. To determine the temperature in the s...
This study deals with the numerical investigation of combined heat transfer by conduction, turbulent natural convection, and surface thermal radiation in a closed square air-filled cavity with a local radiant heater. The turbulent flow was computed within the quasi (pseudo) direct numerical simulation approach. The governing equations were solved b...
This study deals with the numerical investigation of combined heat transfer via conduction, laminar natural convection, and surface radiation in a closed rectangular cavity with a radiant heating source. Unsteady two-dimensional equations of mass, momentum, and energy conservation for complex heat transfer process under study were formulated in ter...
This paper presents the results of mathematical modelling of three–dimensional heat transfer in a closed two-phase thermosyphon taking into account phase transitions. Three-dimensional conduction equation was solved by means of the finite difference method (FDM). Locally one-dimensional scheme of Samarskiy was used to approximate the differential e...
A mathematical modeling of conjugate heat transfer in a semi-open rectangular cavity filled with air and semi-restricted by solid heat-conducting walls of finite thickness is performed under conditions of radiant energy supply in a mixed convection mode. According to the results of numerical modeling, differential (fields of temperature and stream...
Mathematical model of the heat and mass transfer process in a two-phase thermosyphon with allowance for the coolant phase transformations is presented in this study. The formulated boundary-value problem was solved by the finite differences method. The numerical experiment results are presented and the temperature fields are obtained for different...
This paper presents the results of mathematical modelling of turbulent natural convection under conditions of the conjugate heat transfer in an open cavity heated by infrared emitter. Two-dimensional problem of heat transfer was formulated in the vorticity - stream function - temperature dimensionless variables and solved by means of the finite dif...
The mathematical modeling of the conjugate heat transfer in a closed rectangular region has been carried out under the conditions of the radiation supply of energy. The temperature and stream function fields obtained by the modeling illustrate a substantially unsteady nature of the conjugate heat exchange process under study. An analysis of tempera...
Mathematical modeling of conjugate natural convection in a closed rectangular cavity with a radiant energy source in conditions of convective-radiative heat exchange at the external boundary was conducted. The radiant energy distribution was set by the Lambert’s law. Conduction and convection processes analysis showed that the air masses flow patte...
A nonlinear non-stationary problem of the conductive-convective heat transfer is addressed (under forced convection conditions) in the thermosyphon of rectangular cross-section. The thermal energy supply is carried out through the lower horizontal border. The mathematical model is formulated in dimensionless variables of “velocity vorticity vector...
This paper presents the solution results of conjugate forced convection boundary value problem in a typical rectangular cross-section thermosyphon. The influence of convective heat exchange at the external top horizontal boundary on the heat transfer intensity in such energy removing device is shown. It is found that temperature distributions in th...
Mathematical modelling of turbulent natural convection in a semi-open cavity with a heat-conducting walls of finite thickness with radiant heating of internal boundaries was performed. Two-dimensional problem of the conjugate heat transfer was solved by means of the finite difference method. Scale influence of open boundaries and radiant heating of...
Mathematical modeling of unsteady heat transfer in a closed rectangular area with a local heat supply object in a conjugate formulation in working conditions of radiation source of energy is passed. Fields of temperatures and stream functions, illustrating the influence of a local typical object on thermal regime are received. The effect of Grashof...
We have carried out computational modeling of nonstationary conductive-convective heat transfer in a closed rectangular domain in a conjugate formulation with a local heat source (a gas infrared radiator). Four variants of possible description of the radiant energy distribution over the inner surfaces of enclosures have been considered. As a result...
Mathematical simulation of non-stationary conductive heat transfer in volume with the local centre of ignition is spent. Fields of temperatures during the different periods of time on soil section are obtained. The problem is considered in three-dimensional statement. It is used finite difference method to decision of a problem. Results of the comp...
Mathematical modeling of radiant heating of a closed rectangular area under conditions of convective heat transfer at the external boundaries is passed. The fields of temperature and stream function, illustrating the unsteady nature of the heat transfer were obtained. The extent influence of convective heat transfer at the external boundaries on th...
Plane problem of thermogravitational convection in a closed rectangular cavity is numerically solved in conditions of radiant energy supply to the one of the boundaries. Differential heat transfer parameters (fields of temperatures and stream functions) for the conjugate (only vertical walls, only horizontal, vertical and horizontal walls) and the...
Forest fi res have an adverse effect on soils. The so-called pyrogenic soils can be formed. In this paper, we have modeled mathematically unsteady conductive heat transfer in soil under the action of a local ignition source. Physical and mathematical models of heat transfer in the layer structure of soil have been developed. Temperature fields at d...
Mathematical modeling of unsteady conjugate heat transfer in a closed rectangular area with a local heat-conducting object in a gas cavity in conditions of radiative heat supply is conducted. Fields of temperatures and stream functions, illustrating the influence of Grashof number on the character of heat transfer are formulated. The dependence of...
Annotation. Mathematical modelling of unsteady convective-conductive heat exchange in premises, heated by infrared radiant heater is passed. Heat flux density from infrared radiant heater was calculated accounting energy distribution along horizontal and vertical building envelope. Comparison between zonal method and Lambert's law radiant energy di...
Questions
Questions (4)
Dear colleges,
I'm trying to solve Reynolds equations with k-e turbulence model by FDM (finite difference method). I discretized equations using locally one scheme of Samarskiy. Does anybody know where i can find some information about it? I mean how can i check myself? Is discrete analogues right or wrong
Hi everyone! I need to numerically investigate turbulent regime of natural convection in closed rectangular area. So is it possible to solve k-e turbulence model of natural convection in a closed area in conjugate formulation in comsol? Or should I solve "manually" another turbulent model, which will be easier than k-e?
Hi everyone! I'm trying to solve 3D problem of natural convection in variables “the vector potential - the vorticity vector of velocity - temperature” by finite difference method. Does anybody know how I can calculate the optimal iteration parameter for the vector potential equation?
Hi everyone! I'm trying to solve a problem of force convection in square cavity. I'm using Boussinesq model in variables "stream function - vorticity". I'm having difficulty with the boundary conditions for vorticity at the entrance cavity. For stream function, I specify a gradient (dPsi/dn=1), for vorticity analogously as in Rouch "Computional hydrodynamic". But I get incorrect results. So I was convinced, that I set wrong boundary conditions for vorticity at the entrance cavity. Can someone suggest anything?
