Several thermodynamics textbooks (see list below) use the term "entropy production" and do not use "entropy generation" so I would advise using "entropy production" regardless of the system size just to be sure that you're understood correctly. Of course, this advice assumes that you are talking about thermodynamic entropy (people have discussed entropy in other fields) and talking to thermodynamicists.
Yourgrau, van der Merwe and Raw, Treatise on Irreversible and Statistical Thermophysics
Keizer, Statistical Thermodynamics of Nonequilibrium Processes
Desloge, Thermal Physics
Helrich, Modern Thermodynamics with Statistical Mechanics
Calculus is not "take for granted", ΔQ/T can not be turned into dQ/T. That is, the so-called "entropy " doesn't exist at all.
It is well known that calculus has a definition.
Any theory should follow the same principle of calculus; thermodynamics, of course, is no exception, for there's no other calculus at all, this is common sense.
Based on the definition of calculus, we know:
to the definite integral ∫T f(T)dQ, only when Q=F(T), ∫T f(T)dQ=∫T f(T)dF(T) is meaningful.
As long as Q is not a single-valued function of T, namely, Q=F( T, X, …), then,
∫T f(T)dQ=∫T f(T)dF(T, X, …) is meaningless.
1) Now, on the one hand, we all know that Q is not a single-valued function of T, this alone is enough to determine that the definite integral ∫T f(T)dQ=∫T 1/TdQ is meaningless.
2) On the other hand, In fact, Q=f(P, V, T), then
∫T 1/TdQ = ∫T 1/Tdf(T, V, P)= ∫T dF(T, V, P) is certainly meaningless. ( in ∫T , T is subscript ).
We know that dQ/T is used for the definite integral ∫T 1/TdQ, while the definite integral ∫T 1/TdQ is meaningless, so, ΔQ/T can not be turned into dQ/T at all.
that is, the so-called "entropy " doesn't exist at all.
Of course we can refuse of "entropy" but in this case one should use other parameter which describes irreversible processes, etc. So it would be better to use "entropy" according Caratheodory and Afanasyeva-Ehrenfest approach. I use both terms "entropy generation" and "entropy production" in my lectures and papers. Sometimes there are difference between "generate" and "produce" in common language.
In my point of view these two are one and only same thing but reality the entropy generation is sure for any process more or less depending upon how the process is taking place. But if in any process we intentionally want to increase the disturbances for the successful completion of that process, that is called entropy production.
Hi, the following articles could help you: '' What Exactly is the Nusselt Number in Convective Heat Transfer Problems and are There Alternatives? '' and:
'' Energy, Entropy and Exergy Concepts and Their Roles in Thermal Engineering ''
In mentioned articles, both heat transfer and entropy concepts have been presented. Also, you can download the attachments. best regards M. FiroozzadehJundi-Shapur University of Technology, Dezful, Iran
Entropy generation is the normal thermodynamic power inefficiency whereby an engine utilizes Q as power to produce work and some loss due to the second law. Entropy production is an entropy where power does no work through the engine(s) and is released to the surroundings. Any difference between them would be energy loss and failure. This becomes significant in non-equilibrium processes following Langevin's principle in Markovian type events. Because this element of entropy is elusive in application, it is commonly considered the rate of change of entropy in non-equilibrium events. See
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Entropy Production, Entropy Generation, and Fokker-Planck ... - MDPI
The entropy generation is a measure of the magnitudes of the irreversibilities present during the process. Entropy is a measure of randomness of a system.
Where as Entropy production is the amount of entropy which is produced in any irreversible processes such as heat and mass transfer processes including motion of bodies, heat exchange, fluid flow, substances expanding or mixing, an elastic deformation of solids, and any irreversible thermodynamic cycle. From the above, it is clear that both terms are similar in nature in my opinion.
Dear V.Dhana Raju, of course you are right and there is no need to go in linguistic subtleties of English, especially since Prigogine was of Russian origin, lived in Belgium, etc. He was fluent in Russian. In "Introduction to thermodynamics of irreversible processes", he uses only the term"entropy production". In recent books, he uses "entropy generation" in parallel, in some cases without emphasizing the differences between the terms. In any case, the discussion of the difference in terms does not lead to a deeper understanding of the origin of entropy. I know a number of works that distinguish between " entropy production "and" entropy generation", but this is more like scholasticism (how many angels will fit on the end of a needle). The only thing I wanted to clarify in connection with Your remark: entropy production or generation is not only a measure, but also a thermodynamic property in itself. Of course, you can use the property as a measure.