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need to know if an energy and exergy analysis for a heat pump was done in a Net Zero Energy building environment
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Lets take the general case of pump working between two temperature T1 and T2, the exergy efficiency should be calculated using the following expression:
COP ex = absolute value of ((1-(T1/T2))xQ1:W))
where T1 > T2, Q1 is the the heat quantity and W is the work and should be taken as function of the cold temperature (T2) values.
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Hello everyone,
I am currently working on calculating the exergy efficiency in a shell and tube unit for thermal energy storage. In this system, the heat transfer fluid (HTF) circulates through the tubes, while the phase change material (PCM) is contained in the shell.
I am using ANSYS Fluent for this analysis. However, I am encountering a challenge regarding the calculation of the exergy stored in the PCM. Specifically, I am uncertain about the appropriate temperature to use in the calculation. I have replaced the temperature (T) with the average temperature of the PCM, but I am unsure if this is the correct approach.
Attached below is a picture showing the expressio used to calculate the exergy stored in the PCM during the melting/solidification process. If anyone has experience with this type of calculation or can offer some advice, I would greatly appreciate your input.
Thank you in advance for your help.
Best regards.
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Can energy management and its conversion through electromagnetic conversion into electricity reduce and benefit from its environmental risks and impacts?
The global community has a responsibility to address the environmental concerns for energy purposes by replacing existing coal and hydrocarbon methods with sustainable and efficient energy systems. Hence, current power generation systems are constrained by physical laws that reduce performance by converting more energy into heat. Similarly, the revolution and widespread implementation of renewable energies worldwide have shown that electromagnetic transfer is a viable option for harnessing the induced mechanical energy provided by wind or water into exergy. Exergy focuses on the efficiency of the second law of thermodynamics with the aim of ensuring the availability and quality of energy in energy management systems. Therefore, it is necessary to reduce energy demand by building highly efficient electrical appliances and increasing the quality of energy with the output power generation systems. This chapter provides a single diagram for developing new models and designs for power generation with the aim of developing variable efficiency power systems. In addition, an analysis of magnetism, electromagnetic induction, and magnetic materials will be conducted for design, optimization, and implementation in current power cycles.
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It is a noble thought, and every opportunity must be explored because energy is the driving force and environmental impact is the reality of the time. Rich, poor, developed, and developing, all are in the ambit of the negative effects. If we stick to the basics, then the research suggests the best way to tackle the situation is to either manage from the supply or demand side. The demand side is more suitable because the impact is more with less effect on the economy. In all of it if we consider the negative effects on carbon space availability then the situation is far more grave which calls for survival actions for humanity on a war footing in every corner of the globe.
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The cryogenic system is a liquefaction system.
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Dear Henrique,
I prefer writing in English so that other researchers can follow the message exchange.
In any process where entropy is generated, whether for a closed system or a control volume, exergy destruction will occur. This is known as the Gouy-Stodola theorem. Since the throttling process is internally irreversible, exergy destruction will always occur.
Dissipative equipment (or components) are those where exergy is consumed, but no exergy production occurs. An example of such equipment is the expansion devices in refrigeration systems.
Indeed, there are some approaches in the literature regarding the definition of exergy efficiency for such expansion devices.
The first approach is that, in fact, exergy efficiency cannot be defined. In this case, the purpose of the expansion device is to serve some productive equipment. For example, a thermostatic expansion valve that feeds an evaporator.
The second approach is to apply the input-output method. In this case, the fuel is the flow exergy upstream of the device, and the product is the flow exergy downstream. A criticism of this approach is that it does not account for the thermodynamic property changes that occur during the throttling process.
The third approach stems from the disaggregation (split) of physical exergy into its thermal and mechanical components. A criticism of this method is the arbitrariness in defining these two components when phase change occurs in the refrigerant fluid. Another criticism concerns its application limitations. Depending on the temperature and pressure levels, it may not be possible to define an exergy product. This can happen, for instance, in bypass valves of steam turbines.
Finally, the approach that many researchers, including myself, have adopted still involves the disaggregation of physical exergy, but into the components of the UFS and A&F Models. For a better understanding, refer to the open-access article published in the Entropy journal by Rodrigo Guedes dos Santos et al. If you would like additional reading suggestions, look for articles published by the Nucleus of Excellence in Thermoeconomics and Energy Sustainability (NETES).
Best regards,
Atilio.
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Dears
I am working on single-effect absorption chiller. In the refrigerant leg where pure water (as refrigerant) exits the evaporator, its exergy decreases because its temperature is under ambient temperature. Is this right? Why does this happen?
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Dear Navid Mahdavi,
In the evaporator of a refrigeration system, heat is transferred from the stream to be cooled to the refrigerant working fluid stream. However, since the operating temperatures are below the reference ambient temperature, the exergy transfer occurs in the opposite direction of the heat transfer.
Let us recall the concept of exergy, which is related to the thermodynamic disparity between the system (in this case, the material stream) and the environment. For a stream with a temperature below that of the environment, the addition of heat causes the stream to tend towards a state closer to equilibrium with the environment. Initially, there needs to be a phase change from liquid to vapor. If more heat were transferred, the temperature of the vapor (now superheated) would increase, tending to reach the ambient temperature. In other words, its exergy would be further reduced.
I take this opportunity to provide you with information that might be useful. If you need to apply exergy-based methods (for example, to resolve cost allocation), I recommend researching the work published by the Nucleus of Excellence in Thermoeconomics and Energy Sustainability (NETES). There are approaches that have been proposed to model refrigeration systems specifically.
Sincerely,
Atilio.
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Consider a heat exchanger with two streams A & B. Going by Fuel-Product definition for exergy analysis, suppose stream A is the fuel stream and stream B is the product stream. My question is whether the following can be possible.
Exergy @ A_in > Exergy @ A_out &
Exergy @ B_in > Exergy @ B_out.
If this will be true then Exergy destruction = Exergy of Fuel - Exergy of Product will become more than exergy of fuel and thus make the exergetic efficiency of that heat exchanger to be negative.
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Dear Falgun Raval,
I assume you have already reviewed the calculations and found no modeling errors.
There is an issue when the hot stream operates above the exergy reference temperature and the cold stream operates below that temperature. One way to address this is to define the fuel and product of the heat exchanger using an exergy disaggregation (split) model.
My recommendation is that you read the works on the H&S, UFS, and A&F Models, which deal with exergy disaggregation. Look for the Nucleus of Excellence in Thermoeconomics and Energy Sustainability (NETES).
Best regards,
Atilio.
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How to write the fuel and product exergy balances in the cascade heat exchanger in the cascade refrigeration system?
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Dear Cenker Aktemur,
According to information provided by Saeed Sayadi, there is a complication when total exergies of the flows are used to define fuel and product in a heat exchanger. Besides the dependence on the reference ambient temperature, there is the inconvenience of applying the disaggregation of exergy into thermal and mechanical components. Such disaggregation has already been criticized in the literature due to potential arbitrariness.
On the other hand, there are proposals in the literature to define fuel and product in heat exchangers without the aforementioned problems. Please look for the UFS and A&F Models, which were designed for exergo-economic and exergo-environmental analysis of refrigeration and heat pump systems.
Best regards,
Atilio.
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While performing second law analysis of plants (sometimes also regarded as exergy analysis by some researchers) what could be the most suitable definition/relation for Second Law efficiency.
Is there any difference between exergy efficiency and Second Law Efficiency?
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Dear Muhammad Ahmad,
In general, the second law efficiency is defined as the product-fuel ratio of a subsystem or the overall system. Fuel refers to what is consumed, and product refers to what is generated by the subsystem or the overall system. Exergetic efficiency is a type of second law efficiency. For many experts, these concepts are synonymous, as you yourself mentioned.
In general, when we look at the literature, there is no widespread definition for second law efficiency, although there are well-established definitions for exergetic efficiency.
Let's take the example of a steam turbine. Many experts agree that the product of this subsystem is the generated power and the fuel is the reduction of the exergy in the steam flow. The ratio between product and fuel is the exergetic efficiency, which can also be understood as the second law efficiency.
However, there are devices that consume exergy but do not generate an exergetic product. These are called dissipative equipment. A typical example is the expansion devices in refrigerators and heat pumps.
Continuing with the example of these expansion devices, we can find in the literature a proposal for second law efficiency: the product is the exergy of the output flow, and the fuel is the exergy of the input flow. Some refer to this as input-output efficiency. However, there are critics of this approach, as such a definition does not represent what occurs in these devices from a productive standpoint.
Defining second law efficiency, especially for dissipative equipment, has been a subject of debate for several years within the niche of exergo-economic and exergo-environmental analysis.
Taking advantage of your question, if you want to read more on the subject, my suggestion is to look for articles published by the Nucleus of Excellence in Thermoeconomics and Energy Sustainability (NETES). Specifically, see the original articles on the H&S, UFS, and A&F Models.
Sincerely,
Atilio.
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In many studies, exergy destruction and exergy loss occurred simultaneously. When describing them, it is usually explained that they are caused by irreversibility, such as temperature difference, friction or adiabatic throttling. What is the essential difference between exergy damage and exergy loss?
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Dear Rong Zhao,
Exergy destruction is associated with the irreversibility that occurs within the closed system or control volume. It is calculated as the product of the reference ambient temperature and the entropy generation in the thermodynamic process. Therefore, exergy destruction is also known as internal irreversibility. Some literature associates exergy destruction with the Gouy-Stodola theorem.
Exergy loss is related to the exergy that is transferred to the surroundings of the closed system or control volume and is no longer utilized. For this reason, exergy loss is also known as external irreversibility.
Let’s take a concrete example for better understanding. Suppose there is a flow of combustion gases expanding in a turbine and escaping to the atmosphere. Due to inevitable friction, there will be entropy generation in the process and thus exergy destruction. In addition, there is exergy loss, either due to the exergy accompanying the dissipated heat (often of lesser relevance and sometimes neglected) or due to the exergy of the gas flow escaping to the atmosphere.
Taking advantage of your question, I have a suggestion that might be useful. If you need to conduct an exergoeconomic or exergoenvironmental analysis of a system, know that there are proposed approaches to dealing with dissipative equipment and the allocation of waste costs. Look up the H&S, UFS, and A&F Models.
Sincerely,
Atilio.
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Is it possible to ignore chemical exergy when there is no reaction? Let's say there is a separation process of a feed into liquid and gas stream or another example would be when two streams are combined together in a mixer. Is it possible to calculate exergy destruction only based on physical exergy and assume that there is no change in the chemical exergy?
Thanks in advance for your contribution.
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Dear Javad Jeddizahed,
Regarding the process of separating a stream into two, one liquid and the other vapor, as occurs in flash tanks, the chemical composition of the inlet stream and the outlet streams is the same. Thus, the chemical exergy of the three streams is also the same.
When it comes to mixing two streams, even if there is no chemical reaction, it depends on whether the inlet streams have the same chemical composition or not. For example, a desuperheater that receives a stream of superheated vapor and a stream of compressed liquid to produce a saturated vapor flow. If all flows are composed of water, they would all have the same chemical exergy. On the other hand, considering the psychrometric process of adiabatic mixing of two moist air streams with different humidities, the outlet stream would have different humidity from the two inlet streams. In this example, the three flows would have different chemical exergies.
In summary, you need to observe the composition of the streams, even if there is no chemical reaction in the process. Generally, you need to evaluate all processes occurring in the system to determine if chemical exergy can be disregarded in the system analysis.
Taking advantage of your question, I bring information that may be useful to you. If you need to perform an exergo-economic or exergo-environmental analysis of the system, note that there are approaches for the systematic treatment of dissipative equipment and the allocation of waste costs. Look for the H&S, UFS, and A&F Models.
Best regards,
Atilio.
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Hello,
How can we determine the exergy by Ansys Fluent program? or any another program to solve the exergy equations by simple method?
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Dear Israa Ali
Exergy have analytical equations and you may calculate their parameters based on your problem. you should use EES - implicit solver and Thermophysical library- for this purpose.
Good luck,
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I am conducting an exergoeconomic analysis of HVAC system energy consumption in a classroom, considering three parametric cases: air conditioning only, air conditioning with mechanical ventilation, and air conditioning with a membrane heat exchanger. I am struggling to determine the specific processes I should follow and employ for my research. Should I perform the analysis using software or manual calculations? This study is an extension of a previous study conducted by my senior, and he has provided me with the electricity consumption data for the three cases. Could you please provide some guidance?
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You could take a look at Openmodelica and the Buildings library, might be a good fit for your task.
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I prefer studying in Textbook so I read along the textbook named: "Thermodynamics: An Engineering Approach by Cengel" and there are chapters about Exergy and Gibbs energy. But the problem is my professor didn't teach or even mention it in the class. The book then utilizes tons of Exergy analysis in the succeeding chapter while I was taught only simple entropy analysis. Now the course is coming to an end and I will have a month break before the next semester starts. Should I study the chapters by myself or should I just skip them and pay attention to the subjects of the next semester?
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If you are going to do graduate level work in an area related to thermodynamics then it would be worth catching up on topics your professor missed. Otherwise don't worry about it and prepare yourself for courses in the next semesters.
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How can I calculate entropy, and exergy efficiency in ANSYS FLUENT?
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The article "Exergy efficiency" in Wikipedia is not correct. Have a look at the following references:
Tsatsaronis, G., "Thermoeconomic Analysis and Optimization of Energy Systems," Progress in Energy and Combustion Systems 19 (1993), pp. 227-257
A. Bejan, G. Tsatsaronis, and M. Moran, Thermal Design and Optimization, J. Wiley, New York, 1996
Lazzaretto, A. and Tsatsaronis, G., “SPECO: A Systematic and General Methodology for Calculating Efficiencies and Costs in Thermal Systems”, Energy – The International Journal 31, (2006), pp.1257-1289.
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Doing exergy analysis of steam turbine. However, the exergy balance on boiler (heat exchanger) includes exergy of fuel which is to be determined. The measured data contained the mass flow rate of fuel.
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Chemical exergy fraction = 1.0401 + 0.1728 H/C + 0.0432 O/C + 0.2169 (S/C) (1 − 2.0628 H/C )
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Hello Every one, I am working on steam-water direct contact condensation problem. Can anybody help me how to perform exergy analysis using ANSYS Fluent software.
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Howard Njoku Thanks for your reply
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the
Presented by:
Dr. Mehdi Aliehyaei
Dr.Abolfazl Ahmadi
The advertisement in Persian language is in the attachment
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Mehdi Aliehyaei woule have loved to get the English Version of this looks amazing and where can I get most of the details of these teachings
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Dear researchers, is there anyone who know the chemical exergy amount of "Molten salt" (60NaNO3_40KNO3) which use in the solar towers.. .
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Dear Navid,
Hopefully this article and several other articles that are in the reference can lead you to the answer.
Best regards.
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I designed LiBr/H2O single effect absorption refrigeration system using Aspen Plus. Energy analysis is OK. However, exergy destruction rate of solution expansion valve in absorption refrigeration system is negative. Do you know why it is ? Also, exergy destruction rate of pump is so large.
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hello.
because, in the states where the temperature and pressure are lower than the refrence temperature and pressure, the sum of physical and chemical properties will be negative. you should consider the mechanical and thermal exergys of these states to run true. at lost you can use EES to modeling this prob.
Good Luck.
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Please note that the exergy destruction of the flash separator is calculated by taking into account both physical and chemical exergy. the inlet mixture consists of methane, ethane, and propane. The major constituent is methane. whereas no pressure drop is involved and the process is below ambient i.e., -105 C.
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The value of a certain exergy analysis can become negative when one has applied an oversimplified system boundary of the thermodynamic system of interest.
In general, when one applies the correct system boundary in a thermodynamic heat- work cycle including both heat sources and one takes one complete cycle in consideration, the value of the exergy calculation can't become negative. At least not in a system which is within the scales of classical mechanics.
In addition I would like to add:
  1. The complexity of applying exergy correctly lie in understanding thermodynamic heat- work cycles with a certain thermodynamic medium (solid, liquid or gas). And I would like to express the word "cycle" as exergy analysis, and basically all analysis of thermodynamic heat- work cycles, should be carried out for at least one complete cycle.
  2. Another complexity of applying exergy is to define the proper heat sources which in traditional thermodynamic science are isothermal heat sources. Without explaining in detail here, in my opinion isothermal heat sources are concepts which are too simplified. An isothermal heat source is an oversimplified temperature gliding heat source. Thermodynamic science should include the concept known as temperature gliding heat sources of which the temperature varies in space and/or in time domain. To explain it in an analogy: An isothermal heat source is like a 2D building plan from your 3D house (temperature gliding heat source).
  3. In my opinion based on my research I consider exergy as a very important and especially useful concept in contrast to Clausius entropy. Without explaining in detail, no analysis applying Clausius entropy has led to better thermodynamic technologies. Most analyzes using exergy have led to better thermodynamic technologies.
The second point I would like to make is about a topic that is closely related to exergy: Clausius entropy. Clausius entropy is also related to the second law of thermodynamics. I would like to inform those who are interested in entropy that some interesting alternative views on Clausius entropy have been posted in another discussion group over the past two weeks.
Discussion group "Tackling a Century Mystery: Entropy" with corresponding theme:
"Why are we still unable to explain the difficulties caused by a physical concept even after more than 150 years of hard work?"
Some quotes of alternative views of Clausius entropy from this discussion group:
  • There is no randomness anywhere in the Universe. If randomness could exist, it would end the existence of the Universe. The Universe must be fundamentally unified or it would not exist. Thermodynamic entropy has been misinterpreted in several ways due to the lack of understanding of what it was that Clausius discovered. Being a measurement of randomness is impossible.
  • There is no non-equilibrium thermodynamic system anywhere in the Universe. If non-equilibrium could exist, it would end the existence of the Universe. The Universe must be fundamentally in thermodynamic equilibrium or it would not exist.
  • Science has been able to explain many forms of spontaneous processes in the past 2,000 years. For example in biology: spontaneous generation. In the mid-19th century Louis Pasteur and John Tyndall found the underlying phenomena and also this spontaneous process could be eliminated as spontaneous; it wasn’t. Quote “Rejection of spontaneous generation is no longer controversial among biologists. By the middle of the 19th century, experiments by Louis Pasteur and others refuted the traditional theory of spontaneous generation and supported biogenesis.”
  • There is no other concept in which the role of “cause” and “effect” have been interchanged. This quote is related to Clausius entropy
  • . . . . I further consider Clausius entropy as a form of cognitive bias and cognitive dissonance. In my opinion, statements like "entropy always increase in universal systems and therefore ....." are similar to: "Green is the best color because it is the greenest of all colors"(source: https://en.wikipedia.org/wiki/Begging_the_question)
  • It is the story of the “Greatest Blunder Ever in the History of Science
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Hello,
I designed a single effect absorption cooling system working with LiBr/H2O in Aspen Plus software. But the exergy flow rates don't seem right. For example, when I try to find the exergy destruction of the pump (and other components), the result is negative. What is the reason of this? My reference conditions are 25 oC and 101.325 kPa.
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Hi
I think the exergy of material streams is incorrect, and Aspen does not calculate the chemical exergy.
Best wishes;
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I am looking for help in finding the standard chemical exergy value of a component. For example, in literature, we can find the standard chemical exergy value of nitrogen as 0.72 kJ/mol. How one can calculate this value? Actually, I want to calculate the chemical exergy value of perhydro dibenzyl toluene (C21H38), and dibenzyl toluene (C21H20).
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I do agree with Debrayan Bravo Hidalgo.
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I want to have these components in a hybrid renewable energy system (energy storage (thermal energy storage or CAES), solar collector or solar PV, solar reactor, wind turbine, CCHP plant, biomass boiler, etc.) Exergy and energy analysis is going to be performed in my project, Thanks for your participation.
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EES
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Obtain the following information about a power plant:
1. The net power output.
2. Exergy.
3. The type and amount of fuel used;
4. The power consumed by the pumps, fans, and other auxiliary
equipment; stack gas losses;
5. The rate of heat rejection at the condenser.
Using these and other relevant data, determine the rate of irreversibility
in that power plant.
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Hi Samee.
I can suggest you very good textbook which can guide you step by step in solving such an open-ended problem:
you may refer to Chapter 7 of Moran's Principles of Engineering Thermodynamics, SI Version, 9th Edition, Global Edition
There are many problems solved on exergy destruction.
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Dear RG,
I am working on the waste gas from the refinery to electricity production. I propose to utilize Aspen Hysys Model from where conventional exergy will be evaluated. However, I'm unable to make real progress on the part of Advanced Exergy in my initial dry-run following the challenges I'm having to determine the unavoidable exergy of my components. I have the following challenges: (1) Is it possible to use Hysys as a thermodynamic tool to calculate unavoidable exergy (advanced exergy) for my components? If Yes, how is it done? If not what thermodynamic tool can I use?
(2) The mathematical (Graphical) approach for Unavoidable exergy calculation appears to me to be more straightforward from the several journals I have read. But unable to determine the straight-line graph despite defining the ideal operation of each of the components. Therefore, I would appreciate it if you can take out a few minutes of your time to provide me with a clear guide to enable me to unveil the challenge I am experiencing with the concept of Advanced exergy splitting calculation. I appreciate your kind feedback and the wonderful work and contributions you have been making to the engineering world.
O.D. Samuel
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There are various designs of waste heat boilers to generate power. Gas flaring adds to global warming and energy should be utilized.
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Could anyone please share the sample calculation for the inlet and exhaust exergy calculation for simple PEM fuel cell?
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Maybe this paper will help
Deleted research item The research item mentioned here has been deleted
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somebody, please elaborate on how to calculate exergy destruction in kW units. from Aspen HYSYS I found mass exergy with kJ/kg unit and i don't know how to calculate it by using Aspen HYSYS and if somebody has mathematical calculation with example please share with me. I know how to calculate by aspen plus but I need a mathematical or Aspen HYSYS solution.
thanks in anticipation
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I am designing a new system for natural gas liquefaction but I couldn't find how can I calculate its exergy destruction in kilowatt and I also tried to find from previous research on this topic but couldn't help me to find an answer even roundabout to mention in the previous study .. so if anyone knows kindly guide me the right way to solve this problem ..
thanks in anticipation.
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I hope, attached file will be helpful
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Which tool can l use to calculate chemical exergy in Aspen Plus, as far as l am concerned, Aspen Plus does not ccalculatehemical exergy of material streams.
Anyone who know a free tool l can use for calculation of exergy?
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Please check the attached pdf, I guess it could help you.
Best regards,
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Hi, I have a question: I would like to use the enthalpy and exergy values of streams to build a Sankey Diagram of my process. But because of pre-build reference temperature and pressure, the enthalpy and exergy values of streams have mostly negative values. How can I deal with this problem?
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Hello Danial! I am facing similar problem. Can you explain the method you mentioned above.
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Dear Colleagues
Recently I start the energy, exergy, economic and exergoenvironmental analyses of the configuration system that the configuration is attached. I want to calculate the entropy of the lithium bromide solution for the absorption chiller. But in the external library of EES software only calculate the enthalpy which I need the entropy for exergy calculationof . If anyone has an external library for calculation the properties of the lithium bromide solution please send it to me.
Regards
M.A.Ehyaei
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Dear Dr Aliehyaei
You can calculate the entropy of LiBR-H2O solution using the attached java code
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How to calculate exergy efficiency of overall process? The process contains 3 compressors, 3 heat exchangers, 2 distillation columns and 3 pumps.
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Hi Muhammad,
In order to calculate the overall exergy efficiency, you need to defined what's the useful output from the overall process and then divided by the exergy input or fuel. So it's not clear from the question which is useful or how the system works.
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I have a condenser in my system which cools down Cyclohexane saturated vapor (mass flow rate=13 kg/s) to saturated liquid in 100 kPa using a subcooled CH4 flow in P=4000(kPa) and T=-160.3 (C) (mass flow rate=9 kg/s). Inexplicably the exergy efficiency of the component is greater than 1 whilst the exergy destruction rate is positive. Is it possible or I'm missing something?
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I do not think you miss anything. Exergy value depends on the dead state that you choose for your calculation. If you take 298.15 K and 1 atm as your dead state, then, in this case, both streams loss exergy since the temperature of the CH4 is below the reference temperature and cyclohexane transfers heat to CH4. However, if you choose for instance the reference temperature as -160.3 C, you may have second law efficiency below 1.
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Thank you for answers
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These paper that you select for you, will give you a clear idea of the importance of exegetic analysis in thermal systems:
• Exergy analysis of two-phase change materials storage system for solar thermal power with finite-time thermodynamics.
• Application of advanced thermodynamics, thermoeconomics and exergy costing to a Multiple Effect Distillation plant: In-depth analysis of cost formation process.
• Thermodynamics of chemical references for exergy analysis.
• Performance analysis of heat and energy recovery ventilators using exergy analysis and nonequilibrium thermodynamics.
I hope you find this information useful.
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As we know, every process in physics results in an amount of exergy destruction. Is there any estimation about the exergy destruction rate of the overall world processes? When the exergy of the world will be finished? Is there any estimation?
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The main answer is already given above. Anyway it might be useful to add some aspects. The destruction of exergy depends also from the chosen reference system because we speak of a system consideration in universe, so we could also use the space itself as a reference system for exergy considerations and using its thermodynamic state as a reference. In this case there would still exist a remaining exergy expressing the potential difference between earth and the environment represented by the universe system. However exergy is helpful in many cases but if we would only ask for the irreversible entropy production we would get only one answer independent from the reference system. The other interesting aspect from an engineering point of view is the path of distruction. The distruction of exergy is only caused by dissipation with the only effect of irreversible entropy/heat production to be transferred to the space if we observe the earth over its history. The human use of wind mills and solar panels etc. allows principally a destruction path that produces an economic value that can be utilized. However at the end of the process finally the irreversible entropy production will be the same only its economic value differs.
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Exergy analysis of desiccant cooling system.
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The exergy efficiency depends on the nature of the application and on the utilization of the available energy optimally.
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How to calculate avoidable and unavoidable exergy destruction?
e.g., if compressor have an exergy destruction of 2000 kW at 72% efficiency, and a destruction of 900 kW at 90% efficiency, then what will be unavoidable exergy destruction value?
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I recommend you read Solange Kelly's M.Phil thesis, titled Energy Systems Improvement based on Endogenous and Exogenous Exergy Destruction.
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Procedure required to calculate both forms of exergy destruction. I have simulated a plant on real, unavoidable and theroatical conditions, but unable to do the said exergy destruction..
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Exergy analysis involves the application of exergy concepts, balances, and efficiencies to evaluate and improve energy and other systems and processes.So you must to arrance or tabulated of every element that relation and do balance energy of system .
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Hello researchers, I need some suggestions to find out thermal exergy term for any heat transferring process. Hope to hear from you soon. Thanks alot
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Dear Muhammad
I think that the following book can help you
- Wark, Kenneth. Advanced thermodynamics for engineers. New York: McGraw-Hill, 1995.
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Do you think that the maximum exergy principle together with other thermodynamical related ecosystem
theories has its roots in the thermodynamical only in laws originally formulated?
Any information in this direction will be useful
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Hello Khalid Elkalay
I have two work using thermodynamics concept in ecosystem:
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Please, What is the value of energy efficiency and exergy efficiency for all lighting devices and how to calculate them?
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The efficiency always depend on what kind of energy you assume to be useful. Since energy is always consereved, it is correct to say, as Aleš Kralj , that energy efficiency is 100% for any device. All energy that enters the system filnally gets out.
However, when luminaries are looked at, the useful energy is the light, that is the total energy of the photons that our eyes see. This light efficiency is generally given in lumens radiated per consumed watt. To convert this in energy efficiency, we should know the spectrum of the light source, that is to know the energy distribution of the radiated photons.
The best luminous efficiency is 683 lm/W for a monochromatic source at 555 nm wavelenght ( https://en.wikipedia.org/wiki/Luminous_efficacy ). So if a source radiates x lm and consumes P Watt, its energy efficiency is x/(683 P). So a LED having a liminous efficacy of 100 lm/W has an energy efficiency of 100/683 = 0.146 that is a bit less than 15 %.
The exergy efficiency is calculated by the work that can theoretically be obtained from the device divided by the consumed energy. It is not 100% even for electrical light sources, since the exergy shall be calculated from the energy converted by the source (that is generally light and heat). Since the light is pure energy (photons), it can theoretically be converted into work with a 100 % efficiency (but PV cells actually convert it with about 20% efficiency only). The remaining heat can be converted into exergy using the Carnot efficiency, based on the temperature of the light source and the ambient temperature. For example, the LED mendioned above has an exergy efficiency of less than 15% , since it is cold. A Tungsten light bulb at 2800 K can theoretically present a Carnot efficiency of (2800-300)/2800 = 90% but its light efficiency is close to 0 (1%), and the heat lost by the bulb is not at 2800 K but at about 400 K at the best, i.e. a Carnot efficiency of about 30%
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if a combined cycle (brayton & ORC)coupled with the solar parabolic through collector it means its taking heat from the solar system. Then what is mathematical relation to put in EES which show the variation of exergy and energy efficiency of combined cycle with solar irradiation. another question is that how to calculate exergy destruction in the parabolic through collector.?
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Dear Yunis Khan,
It is necessary to mention that in exergy analysis, fuel and product should be defined. The desired output from the whole system, in terms of exergy, is the product and the consumed exergy to generate the product is the fuel. Then, the exergy efficiency will be set as: Product/Fuel. Now, the product in your system is the net output power (both generated by Brayton and ORC cycles) and fuel is the exergy associated with solar radiation. To see how you can calculate the exergy of sun radiation please refer to:
Cheers,
Hossein
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How to determine the exergy efficiency of heat integrated distillation columns, during cryogenic air separation. Would appreciate if anyone provide formula for both column`s.
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I would like to recommend the papers on reversible distillation from Blass, Köhler and Aguirre. The concepts need to be expanded to the continuous heat transfer that you have in an hidic but the basic ideas remain the same.
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I am unable to find the procedure, of how to calculate the exergy loss profile i.e., tray to tray in the distillation column operation.
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Carry out the tray-by-tray exergy balance to enable you derive expression for each tray, after which you input the various tray operating parameters to evaluate the exergy loss per tray. This can they be cascaded down to get the exergy loss profile for the distillation column.
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FOM is a ratio of actual COP to the ideal COP and Exergy efficiency is a ratio of product exergy (output Exergy) to the fuel exergy (input exergy). The rationale behind the use of FOM and Exergy efficiency is not clear.
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It is all about the perspective. Sometimes it is more interesting to show how a process perform in relationship with the ideal process, thus the comparison is made for a same technology/process. For instance: if the theoretical efficiency is 50% (e.g. a power system) and your process efficiency is 45%, then you are actually very close to the maximum although the numbers are not even close to 100%.
In the other hand, this type of analysis can lead to false conclusions. For example: there are two technologies, the previously described (50%/45%) and a new technology that can reach 80% efficiency, but right now we can only get 30%. One may say that the first option is more efficient (right now), but there is not a lot space to increase the efficiency further.
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how to calculate the exergy destruction in parabolic through collectors. If number of collectors in series an parallel of LS 3?
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Dear sir
Please see the attachment
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How to calculate the unavoidable exergy destruction of demethanizer and deethanizer in the attached figure? Some paper said using minimun reflux ratio to calculate unvoidable exergy destruction of columns, but I find it impossible used it in complex demethanizer and deethanizer because infinite stages cannot be achieved in simulation. So I think wether it is right that I just increase the theoretical stages to a certain value and I define it as unavoidable condition.
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Refer to my paper, demethanizer energy targeting.
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How to calculate chemical exergy of the species that do not exist as stable components in the reference environment?
For example carbon dioxide (CO2) compressed at 298.15 K and 80 MPa
Standard chemical exergy of CO2 is only existed at gas phase.. so i don't know how to calculate chemical exergy of carbon dioxide in liquid phase
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Hi every body. how can calculate the standard chemical exergy of r245fa?
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power plant - exergy
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exergy analysis needs data of the inlet and outlet of turbine, which are defined by energy analysis of the whole cycle. however, you can write exergy balance for the turbine if the inlet and out let conditions are known.
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Dear researchers
I want to use commercial oils like Thermiol-VP1 as working fluid in solar collectors and insufficient data are available for these oils in the references. How can I calculate exergy and entropy properties?
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The premise of differential is the existence of a differentiable function !
The premise of integral is the existence of a function !
To a single integral, first of all, there must be a Function y=f(x), then, ∫ ydx=∫x f(x)dx may be meaningful, similarly,
∫ xdy=∫x xdf(x) =∫x xf'(x)dx=∫x G(x)dfx=∫x dF(x) is meaningful.
But, as we know, Q is NOT a single valued function of T, In fact, as I pointed out in my paper, Q=f(T, V, P), so, 1/TdQ=1/Tdf(T, V, P) is meaningless, that is ∫T 1/TdQ = ∫T 1/Tdf(T, V, P) is not a meaningful integral, or say, it is not a integral at all.
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Dear Researchers,
My researcher group and students are at edge of adopting exergetic tool to determine ineffectiveness in parts of bioreactor and might result in employing Sankey and Grassmann diagrams to depict the results of exergy. How can i explored the diagram?
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Dear Dr. Saim Memon,
I quite appreciate your attached, Dr. Saim Memon. Thanks,
SOD
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Utilisation of heat transfer enhancement methods usually comes with undesired results; e.g. increased exergy destruction and/or pressure drop, which impose constraints of thermodynamic or practical nature.
Are there any standards (or otherwise, references which contain such standards) for definition of an optimisation problem for an energy system (heat exchangers, in my case)?
I'm mostly looking for material that can answer questions like the one that follows:
Q: Which optimisation problem is more suitable? And what are the proper values for "Given value" terms?
Problem 1: (Single-objective)
maximise Heat transfer enhancement
subject to Pressure drop increment < Given value
& Exergy destruction increment < Given value
Problem 2: (Multi-objective)
maximise Heat transfer enhancement
& -(Pressure drop increment)
subject to Exergy destruction increment < Given value
and on...
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Dear,
there is another detailed literature. Maybe, little more useful information ...
This is typical multicritaria problem. There is no optimal result, only semi-optimal result ...depending of weigted koefficient you assign to variables
Best regards
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Many researchers have applied the traditional approach to estimating the flows of energy and exergy (Torio and Schmidt), Hepbasli, and Yücer ? I am looking for a new approach. I will be thankful, If anyone can help.
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You can represent energy and exergy flows using Sankey diagram.
refer to:
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What and what must be in place before I can successfully carry out the energy and exergy analysis of a chosen vessel.
What is needed are those data that are indispensable for a work of this nature. research of this magnitude can be daunting and although Nguyen, Baldi and others have done similar work, what i might perhaps be looking for is the methodology employed and the data used.
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You'll need the following input data to be able to carry our the energy calculations:
1) Physical properties (e.g., density, etc) of the wall of the vessel.
2) Thermal properties (such as the thermal conductivity of the wall of the vessel.
3) Physical and thermal properties of the insulation around the vessel (if used).
4) Whether there are heaters or cooling jacket around the vessel.
5) If there is a heat source term inside the vessel. For example, whether a chemical reaction takes place inside the vessel with heat generation (exothermic reaction).
6) Temperatures inside and outside the vessel.
Hope this helps answer your question and good luck!
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I want to represent exergy flows in a system using Grassmann Diagram. I need some suggestions for software, tutorials or anything that may be helpful.
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Dear Laxman,
one program I know of is e!Sankey, which is however proprietary.
Best regards
Eric
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How do I create chemical and physical exergies as user variable in HYSYS and also include calculation procedure to compute them such that they become part of the stream properties that can be displayed or exported to other platforms?
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The suggestions that I come across to usually involves an automation code using VBA in Excel. Other option is to include a "Calculator" block in some key streams to determine the exergy flow. Check these reference and see if you can apply something similar to your work:
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exergy efficiency comparison
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Condenser is a party of heat pump. I'm the condenser the useful energy is its suplied heat, where it's the same of the heat pump. However heat pump request other work for its functioning ... for that the exergitic efficiency of the condenser is more than heat pump.
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Hi,
If overall cost is minimized for a system or cycle, does it mean that exergy destruction is minimized?
regards,
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Not necessarily...
Refer to the exergoeconomic analysis theory we have two cost source in most thermodynamic systems: 1) The costs that come from exergy destructions and losses because of low exergetic efficiency. or in other case we say the operation and maintenance costs. 2) The costs that are because of high equipment purchase prices. in other case we say the capital costs. by minimizing the exergy destruction you can only decrease operation and maintenance costs of system; while for purchasing high efficiency equipment you should pay high capital cost... so we can not always conclude that minimizing overall cost cause to less exergy destruction.
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Please let me know if you could introduce any reference
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T-S Diagram of Open Feedwater Heater
T-S Diagram of Closed Feedwater Heater
As the entropy increases, exergy destruction increases.
As you can see in the diagrams, the amount of entropy in the open state is higher and thus, in the closed cycle, we see an increase in the exergy.
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There are two definitions of exergy efficiency. i.e.
1. eff = Wnet/ Exergy In
2. eff= 1- (exergy destruction/ Exergy In )
While analyzing supercritical CO2 power cycles, the exergy efficiency from two definitions comes out to be different. There is almost a difference of 4 to 5%.
Kindly explain this?
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Dear Abubakr Ayub. I use the following approach to solve the problems of exergy efficiency - in the numerator - "useful" exergy, and in the denominator - "spent". This approach, I think, gives correct results.
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I have realized that scientists and engineers in the field of energy and exergy hardly talk about the application of passive methods in their respective researches. But I see passive methods as conventional means of dispelling global warming and more importantly the leeway in achieving greener technology in our today's world.
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I perfectly agree with you, passive method should be applied first, because they are cheap and use only free, renewable energy . However, they may not suffice (e.g. as in Fairbanks) and should be completed by active methods (see chapter 2 of the attached file). I think hey are not very actively promoted because it is difficult to make money with them, and they are less attractive than high tech and expensive systems.
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My question on how to calculate the exergy and efficiency for a flat plate solar collector.......
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Dear Karolis Janusevicius, Thank you for your answer. I must ask my self what i need???
But first, i want to know how i can calculate???
and Pls the papers you mentioned not available. Pls you can help??
Regarding
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Dear all,
I am looking for references that explains the steps of Exergy, exergoeconomic and exergoenvironmental analyses of Trigenerator. If there is any software can be used for this purpose that will be helpful as well.
Best,
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Based on my experience, EES software package is very useful regarding the thermodynamic assessment of any multi-generation system (to solve the system of equations achieved by applying mass, energy, exergy and economic balances on any components of the system).
Basic concepts of these steps are available in any book entitled applied thermodynamics. Besides, for the purpose of optimizing the system conducting a revolutionary algorithm, MATLAB is the most viable of course.
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For the exergy behavior of human body, researchers found that exergy destroyed and exergy efficiency decrease over human body is more efficient and destroys less exergy in lower relative humidities and higher temperatures. These conditions meet in the summer and presented discomfort conditions. Is the exergy efficiency in inversely proportional with the comfort conditions?
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Dear sir
Exergy efficiency defines comfort/energy usage, you should use this term and define new formula for summer.
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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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In view of second law of thermodynamics, to optimize the performance of any thermal system, it is important to analyze the exergy of this system by making exergy balance between the system and the environment. In some researches, I noticed that the pumping power exists within the exergy balance. What is the relationship between the exergy and the pumping power?
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Hi
The exergy balance equation consist of many terms, the term on the left side (dE/dt) shows the change of the exergy of the system due to the terms on the right side equation, so, the exergy of any system is effected by : the flow of heat that responsible of transfer exergy to or from the system Q(1-(To/T)). The flow of matter causes transfer of exergy to or from the system (Ein-Eex), The shaft work Pdv and boundary work (W) causes also increasing of decreasing the exergy of the system depending upon the work is produced or consumed. Finally the exergy destruction due to the second law inefficiencies is always positive. Therefore any activities on the system boundary causes change of the system exergy.
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Is there any available literature to calculate Exergy losses of Blast Furnace.
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Following paper gives a good Idea of Exergy analysis of Blast Furnace
"Mathematical Modeling and Exergy Analysis of Blast Furnace Operation With Natural Gas Injection"; Tong-Lai Guo, Man-Sheng Chu, Zheng-Gen Liu, Jue Tang, and Jun-Ichiro Yagi; steel research int. 84 (2013) No. 4 ; pp 333-343.
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A simple problem confused me:
suppose a constant amount of heat Q and a solid body with heat capacity C and initial temperature T1.
I want to calculate the final temperature of the body when heat Q transferred to the body at the following conditions:
1- irreversible heat transfer
2- reversible heat transfer
3- quasi static heat transfer
???
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Hallo,
as a matter of fact, not in the way you pose the problem. If a given amount Q of thermal energy is exchanged, the final temperature will be as the colleague said T2=T1+Q/(M*C); you can realize this if you apply the energy balance to your system and express the variation of internal energy as the product of the specific thermal capacity times mass times temperature difference. As a matter of fact, the first-pricniple (energy balance) does not discern between reversible and irreversible processes (and heat and work would seem indistinguishable in this regard), you need to apply second-law balance equation to find out that non-reversible thermal exchanges introduce a term called entropy production (rate) which is absent in reversible processes. If you need a rather broad but accurate insight into the matter, I suggest (I take it German is your native tongue) you have a look at chapter 3 (for 2nd law) and 2 (first law) of the excellent "Thermodynamik - Grundlagen und technische Anwendungen" by Baher and Kabelac, published by Springer.
Marco
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The enthalpy and mass flow rates of air after compression, mass flow rate of inlet fuel (CH4) and mass flow rates after combustion reaction are known. Complete combustion is assumed in combustion chamber. Kindly tell what is the best way to calculate exergy destruction in combustion chamber.
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Hi.
I have attached a file as your answer of question.
Hope be useful for you.
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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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Or produced at an absorber or a condenser.
The exergy destroyed was obtained by balance of exergy at each component at the double-effect LiBr/H2O absorption refrigeration system.
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I think that from the thermodynamic point of view it is nonsense (negative ExD or negative ex. efficiency). On the other hand, it is not always possible to manipulate by  choice of the reference temperature. For those interested would be helpful to become familiar with the approaches in this case study.: 
The exergy efficiency assessment of heat recovery exchanger for air handling units, using a state property – Coenthalpy. Applied Thermal Engineering. Vol. 108 (2016), p. 388-397
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I am evaluating the performance of Sensible Heat TES
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In fact, thermodynamic processes always produce entropy, because in this thermodynamic process, there is occur friction and heat transfer into the atmosphere. During this process there is also a loss of energy so the process is called an irreversible process.
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 LiBr-H2O  Solution single effect absorption chiller Refrigeration System
1) The specific exergy is the sum on the physical exergy and chemical exergy. 
a- Physical exergy : (h-h0)-To(s-so)
b- Chemical exergy: Standard exergy + Dissolution Exergy
If the chemical exergy shall be evalueted, how should I calculated the activities for H2O and LiBr ?
Can anyone provide a sample calculation ?
Do EES can provide the evaluation of the chemical exergy ? What is the function that shall be used ?
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Thank you  all for your answers
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How can I apply exergy to fabricated biogas reactor and oil screw expeller?
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Mrs. Rety Setyawaty,
Greeting.
I hereby respond to your answer for the sake of readers/public who might have been confused. You seem not to understand  my question nor appear to  have the principle of exergy, which is second law of thermodynamics. Your response is far from the knowledge of exergy Therefore,  your reply to my question is wrong. kindly consult  journal entitled "Cynthia Ofori-Boateng ⇑, Lee Keat Teong, Lim JitKang. Comparative exergy analyses of Jatropha curcas oil extraction methods: Solvent and mechanical extraction processes. Energy Conversion and Management 55 (2012) 164–171". to understand the principle of exergy
Engr. O.D Samuel, Ph.D
.
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For Diesel we know HHV is 39,500 kJ/kg; Chemical exergy is 42,265 kJ/kg
Therefore Exergy grade function is 1.07
Can I use the same for HSDO and LDO?
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Yes, you can use the same values for HSDO and LDO. For all engineering purposes, the variability of such values are small.
Hope this helps answer your question.
Professor Yehia Khalil
Yale University
USA
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I,m using a ideal gas model in ees and the exergy of stream is cosidered as following :
ex[i]=mf1(h1[i]-h1[0]-T0(s1[i]-s1[0]))+mf2(h[i]-h2[0]-T0(s2[i]-s2[0]))+...
which mfk  is the mass fraction of species k .
So sk[0] should be calculated at the partial standard pressure of the species k or in the overall standard pressure?
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In my opinion, in the overal and not in the partial. 
If you think the air which is a mixture of nitrogen and oxygen. In the air calculation, you have to take the atmosheric pressure (~1 bar) in order to determine the properties.
In any case, if you calculate the exergy flow in a process, the quantities which are related to the reference point "0" will be eliminated and thsi problem is solved.
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Exergy, biodiesel, blends, Thermodynamics, diesel
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Dr. momin,
I could not see a related work that you claimed you are also researched on.
Dr. O.D Sam
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It could save in time significantly as well as unifying methodology and reference data.
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EES is a powerful energy tool for making thermodynamic calculations. The exergy calculations can also be made easily.
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Insitu transesterification, FAME, design, exergy, second laws of thermodynamics
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Dr. Wall,
Greeting.
I wish to inform you that your reply to my question is wrong. kindly reply to the question  entitled "How can i explore exergoeconomy analysis to a an insitu biodiesel reactor?"
Engr. O.D Samuel, Ph.D
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apart from the  operating parameters(load & speed)
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To be specific to your question for DI Diesel engines, the following may be some of the reasons behind useful energy(exergy) loss :
- Abnormal combustion phenomena which occur when the delay period become longer.
- Unequal fuel distribution and bad mixing before combustion-.
- Gas frictional losses :Wall friction as the incoming gas pass through valves which is speed dependent .
- Residual exhaust gas from the previous cycle when scavenging during the overlap period is incomplete.
- Hot ambient conditions and bad engine cooling system.
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how to formulate the objective function ?
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Dear Veena,
One of the most recommended methods used in optimization of Engineering problems is the Genetic Algorithm (GA) approach. It is widely used by many researchers. If you use Matlab as a simulation tool, you will find this method as a built-in tool which can be easily used to optimize your problem or you can write your own code. Firstly, you need to specify the objective function (to be increased or decreased) and the decision parameters which affect the system performance. In your case, the objective function can be exergy efficiency (to be increased) or exergy destruction/loss (to be decreased). You can also use any other objective function such as the total system cos....etc
Regards
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 I want to minimize exergy destruction in the diesel engine. So i want to know if this can imply to improve exergetic efficiency . if yes how. Thank you
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The most important source of the exergy destruction in diesel engine is combustion processes.  In the compression ignition engine combustion generated exergy destruction can be reduced by  preheating the intake air, insulating the combustion chamber walls, reducing the amount of excess air which results in an increase combustion temperature, and hence,more fuel exergy is converted to brake power that is higher exergtic effficiency. But it must be said that higher combustion temperature results in higher exhaust exergy loss if not utulized. consequently in order to increase exergetic efficiency, combustion efficiency must be increased
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Can anyone Please tell me the reason why the exergy destruction in HRSG of a GT based WHR cycle is coming negative?
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Exergy is a property  associated with the state of the system and the environment. A system that is in equilibrium with its surroundings has zero exergy and is said to be at the dead state.What are your dead state conditions (Tdeadstate?) it could influence the exergy sign in some processes  (refrigeration...).You should check your balance equations as said by Giuma....You should be aware that exergy destruction can never be negative.
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I am trying to learn exergy efficiency of each component for vapor compression cycle. There are lots of article on Exergetic efficiency of whole cycle(system) and measure of irreversibility of each component. But I want to learn about exergy efficiency of each component. 
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For the expansion valve, you may divide the irreversibility by the input exergy and subtract the result from one. This is the same as if you divide the output exergy by the input exergy.
For the condenser, you can calculate the exergetic efficiency by calculating the exergy destruction for one stream and the exergy gain for the other one, then divide the exergy gain by exergy destruction.
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Dears,
As shown in the first figure, gibbs energy could be calculated as a function of Enthalpy and Entropy. for 25C and 1 atm.
In aim to calculate Gibbs energy at different temperature levels, we may use tables (2ed figure).
 BUT, THE GIBBS ENERGY OF TABLE DOES NOT MATCH WITH CALCULATED ONE USING: G=H-T.S.
ANY IDEA HOW TO CALCULATE GIBBS VALUE AT DIFFERENT TEMPERATURE, FOR N2, O2, CO2, C?
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Hello Azd,
In the table you have shown, enthalpy and Gibbs energy are represented as changes due to the formation of the molecules from their elemental atoms. The entropy is the absolute entropy, and not the entropy due to the formation of the molecules from elemental atoms. In the first example you show (the red slide) the entropy that is given is the change in entropy upon creating the species from elements (i.e. it is the entropy of formation, not the absolute entropy). So, you are given an "S" in the bottom slide (green slide) but you need a "Delta_S" if you want to use Delta_G = Delta_H-T*Delta_S.
Here I used Delta to refer to the change in energy in forming species from elements.
There is probably a better way to getting the Gibbs energy at a different temperature than I am about to show you. But, it should still be okay.
Keq =- RTln(delta_G), so you can calculate the equilibrium constant at the current reference temperature with the information you have already. Then, you can use the van't Hoff equation to calculate the Keq at a different  temperature, and then convert that Keq to the Delta_G at that temperature (i.e. delta_G = exp[-Keq/RT]).
The van't Hoff equation essentially has a hard way, and a very common shortcut way. The shortcut way is this: ln(Keq2/Keq1) = -Delta_H/R *( 1/T2 - 1/T1)
This can be rearranged to get Keq2 = Keq1*exp[-Delta_H/R *( 1/T2 - 1/T1)]. The shortcut assumes that the Delta_H is a constant value(i.e. doesn't depend on temperature, so use the given Delta_H at the reference conditions), Thus, as your temperature difference gets larger, the assumption gets worse. That said, the shortcut way is quite common.
So in short. Calculate Keq1, then calculate Keq2 using the van't Hoff equation, then calculate Delta_G @T2 using Keq2.
Here is a wikipedia link to the van't hoff if you want to try the longer version of the van't hoff.
Cheers
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can any body suggest the literature to calculate the Exergy of Iron ore sintering Process.
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Thanks Mr. Ashraf
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I want to minimize irreversibility losses in the heat exhanger. So i want to know if this can imply to improve exergetic efficiency . if yes how. Thank you 
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The irreversibilities that matter in heat exchangers are primarily due to heat transfer over large temperature differences, as mentioned above. These can become especially large in heat exchangers where the capacity rates (mdot * cp) are quite different on either side of the heat exchanger, or where there is a phase change taking place, or where a fluid has large changes in the specific heat capacity (eg around the critical point). Such things result in lines of significantly different gradients on T vs H plot (temperature vs enthalpy rate, mdot * h). The pinch point will limit how close together the hot-side and cold-side curves can approach each other.
Another source of irreversibility relates to flow friction in the heat exchanger channels. This manifests as higher required pumping power, but in an exergy analysis can be directly connected to destruction of exergy through friction.
Edit: to answer your specific question, namely "does reducing irreversibilities imply improvement to exergetic efficiency", the answer is yes. Exergy efficiency for a heat exchanger is the exergy out (cold side exergy gain) divided by the exergy in (hot side exergy supplied). Exergy that doesn't go the cold side is either lost eg by conduction to the surroundings, or destroyed within the system, via the heat-transfer-through-a-temperature-difference stuff, described above. Exergy destruction is equivalent to irreversibility, so if you can reduce exergy destruction (or also exergy loss) then you improve exergy efficiency.
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Fuel exergy estimates the inherent chemical energy in the fuel that is actually available to do work.
LHV is the actually released energy of fuel measured in the experiment during combustion.
For most fuels, the exergy is always larger than the LHV. However, for CO or H2, it is on the contrary. So why the practical value of released energy can be larger than the theoretical value? Is it related to the combustion process?
Thanks for your attention, and your explanation.
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The \Delta pV expansion work done by the system will be positive for a gas reaction with a net increase in number of gas moles and negative for a net decrease in number of gas moles. Does this explain your puzzle?
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I want to know that how to change the second law thermodynamics efficiency (exergy efficiency) of compressor with respect to compressor ratio?
Is it increases? or decreases?
Do you have any articles in this regard?
thanks for your help,
best,
Ali
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What I mean is : your pressure ratio is not enough if you want to model the behavior of your compressor. You also need to know, or make an hypothesis about, its polytropic exponent [1], so about the way it exchanges heat with the surroundings. For a given value of pressure ratio and polytropic exponent, you can calculate the values of outlet pressure and temperature. From that, you can obtain the value of the specific exergy of air at the inlet and outlet.
Besides this, the polytropic efficiency of your compressor will lead you to the value of the work consumed and then to the exergy efficiency.
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Hi,
I was wondering if anyone could clearly describe the difference between the Gibbs free energy and the Exergy concept?
Thanks in advance
Reza
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The Gibbs free energy is the amount of available work for an isothermal and isobaric process. Exergy is more of a measurement of total available work until a system reaches equilibrium with its surroundings. You can't replace one with the other, but they are similar in concept.
Tte amount of exergy a system has is not dependent on whether or not its an isothermal or isobaric process. It could be any type of process and it will still have the same amount of exergy regardless. The same can not be said for the Gibbs free energy.
Exergy is more of a general term used to describe the useable amount of work that can be extracted from a thermodynamic system whereas Gibbs is for a specific process (i.e. constant temperature and pressure). They are related though - conceptually.
Exergy is dependent of the systems surroundings while the GFE is independent of the systems surroundings. You can have a system that is isothermal and isobaric where GFE = Exergy but your assuming the conditions are such that all available work can be extracted when the system reaches equilibrium. This isn't always the case as for a systems equilibrium may not allow all available energy to be extracted, which can be determined by the GFE, still assuming an isobaric and isothermal process of course.
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Hi all,
I would be much obliged if someone can confirm my understanding of calculating the chemical exergy of a water sample. As it is calculated in three parts,
1 - exergy of pure water in the sample
in the formula's portion : ln[a(i)/a(i,O)]  , a(i)  is the activity of of pure water (which is 1) , and a(i,O) is the activity of ambient conditions water (is this the sample? I don't think so)
In parts 2 and 3, I have the same confusion about the a(i,O) of H20, is it some standard value related to the properties of the ambient water present in the reference environment (RE), or is it from the sample?
I think it is the activity of the water in the RE. I would immensely appreciate a response from someone who has gone through this calculation.  
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I have read many articles about this topic. I wanted to hear some expert opinion about it. In my case. I'm interested in the flows of matter and energy coming in and out from the pump to the two different environments, and are not interested in the various internal losses and destruction of exergy.
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I always go through each component of the system one by one, you have inlets and outlets, then you apply your equations. Actually in HP you are dealing with less parameters compare to let say power plant.
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The standard energy performance of a building is a energy balance.
This means that the quality of the energy carrier used is not considered, it considers only the quantity of energy carrier. 
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First, I think it should be recognized that exergy analysis has been used thoroughly for evaluating the performance of equipment, processes and systems involved in buildings (e.g. heat exchanger, dehumidifier, boiler, etc.) for a number of years.
That being said, it is true that when referring to the overall building performance, most people think in terms of the 1st law, not the 2nd. If you consider the overall building as your control volume with its various flows in and out, exergy analysis might be relatively straightforward to apply, but might reveal little. On the other hand, looking at the different building components and systems could be insightful. Exergy analysis can also help to assess the environmental impacts of buildings. By the way, as far as I know, ASHRAE has a technical group focussing on exergy in buildings (http://tg1.ashraetcs.org/).
Finally, one of today’s “hot topics” that I would also link exergy with is life cycle analysis (LCA). I think it would be worthy to determine how exergy is destroyed not only in the operation of the building, but in the production and transport of building materials, during the construction phase, in the deconstruction, etc.
I hope this helps you.
 
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There are lots of researchers presenting studies based on second law of thermodynamics like, exergy, entropy minimization and advanced thermodynamic analysis. Most of these articles starts stating that this approach is useful for design cases and shows "real" performance of systems or components of complex systems. Mainly it sounds a little bit abstract without pointing out what is reason for doing this type of analysis.
But really - what are detailed benefits of exergy analysis?
Some researchers states that:
*It could be used as a measure of system sustainability level
*Shows quality of heat transfer process
*Exergy is more complex measure for assessment cases than energy
I would be glad to hear some opinions about this.
P.s. I am familiar with work done by Bejan, Tsatsaronis, Herwig, Sciubba and theories of advanced exergy analysis and entropy generation minimization.
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Hi Karolis,
I think you already got a number of very informative answers, but I hope I can add something more.
Second-law analysis is often, rightfully, used in contrast / complement to first-law analysis. First-law analysis is the typical analysis based on energy balance and energy efficiency. The energy efficiency of a Diesel engine is around 40%, that of a boiler 90%, etc (numbers are just for the sake of giving examples, please do not reply "well but boilers can have higher efficiencies").
The point is that as long as I compare similar systems (e.g. two Diesel engines) energy efficiency is just fine: there is not much doubt about which of the two is more efficient if one has energy efficiency 40% and the other 45%. But what about the example I mentioned in the first paragraph? The boiler looks more efficient than the engine, but is it actually so?
The limit of first-law analysis is that it does not account for energy QUALITY. Electric, mechanical, chemical, thermal energy, are all valued the same. However, we know that this is not true. Converting from mechanical to thermal energy is rather easy, and is done even when we do not wish so. The opposite is quite a complex process, as you can see in most of thermodynamic cycles.
So how to deal with this? The second law of thermodynamics comes into help introducing entropy. If you take a more "applied" statement of the second law, you will also get that, for example, it is not possible to have a cycle whose only result is to convert thermal energy to work. The limit of the efficiency of this process is set by the Carnot efficiency.
Where am I going with this? Well, when you use energy efficiency applied to an engine, you are not measure how much it approaches ideal condition, since even with a perfect machine you could not ever have unitary efficiency. But what about comparing engine efficiency with the correspondent Carnot efficiency, i.e. the maximum theoretically achievable? This makes much more sense!
Another example of where exergy analysis (exergy is the thermodynamic property that is supposed to combine energy quantity and quality) is its application to heat exchangers. If you assume (as it is often done) that there is no thermal loss in the exchanger, it will have unitary efficiency. Does this tell you anything about the quality of its design and of its positioning in a more complex network? No.
But what about calculating how much energy QUALITY is deteriorated in the exchange? This can turn out to be much more useful in many applications. And this can tell you for example what is the influence of the exchanger on the system. In general economic analysis favours high-temperature differences exchangers (becaus they are smaller in size and therefore cheaper), but second-law analysis can tell you how much this deteriorates energy quality, and therefore how much possibility of using this energy for other purposes is lost.
I hope I made my point clear. I use second-law analysis every day in my research and it is often for me a fight to make people to understand why exergy is not a typo but a useful property. In my thesis there is a small sub-chapter about this, let me know if you are interested to read it.