Reversible cycles and entropy generation

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Discussion Overview

The discussion revolves around the concept of reversible cycles in thermodynamics, specifically focusing on entropy generation in gaseous systems and the operation of turbines. Participants explore the implications of reversible cycles, isentropic processes, and the behavior of working fluids in turbines.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether entropy generation within two gaseous systems in a reversible cycle is zero.
  • Another participant suggests that turbines can ideally be modeled as executing reversible cycles, implying isentropic expansion of the working fluid, but acknowledges that real turbines experience entropy increase.
  • A participant expresses confusion regarding the entropy generation in a vessel filled by fluid from a turbine, questioning if it could be zero despite the turbine's reversible operation.
  • It is noted that while a complete cycle must have zero change in entropy, turbines do not typically operate in a cycle, although they may function close to adiabatically and reversibly.

Areas of Agreement / Disagreement

Participants exhibit uncertainty regarding the relationship between reversible cycles and entropy generation, particularly in the context of turbines and their operation. Multiple competing views remain on the implications of these concepts.

Contextual Notes

There are unresolved assumptions regarding the definitions of reversible cycles and the conditions under which entropy generation is considered zero. The discussion also highlights the distinction between idealized models and real-world applications.

Urmi Roy
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I've got a couple of questions about reversible cycles:

So if we have two gaseous systems and have a reversible cycle working between them, then the entropy generation within each gaseous system is zero, right?

Do turbines execute reversible cycles?

Thanks a lot for your help!
 
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Urmi Roy said:
I've got a couple of questions about reversible cycles:

So if we have two gaseous systems and have a reversible cycle working between them, then the entropy generation within each gaseous system is zero, right?

Do turbines execute reversible cycles?

Thanks a lot for your help!

Ideally, a turbine could be modeled as a reversible cycle, which means that the expansion of the working fluid would occur isentropically. In the real world, however, this is not the case, and there is an increase in the entropy of the working fluid as it moves through the turbine.
 
SteamKing said:
Ideally, a turbine could be modeled as a reversible cycle, which means that the expansion of the working fluid would occur isentropically. In the real world, however, this is not the case, and there is an increase in the entropy of the working fluid as it moves through the turbine.

Thanks for the reply SteamKing!

My point of confusion arose from the fact that in a discussion we were having at school,the fluid coming out of the turbine was used to fill an initially evacuated vessel.
I had a feeling that since the turbine operates a reversible cycle, the entropy generation in the vessel when the fluid got into it would be 0.

In a reversible cycle such as Carnot cycle, however, the entropy generation in all components, including the heat reservoirs would be zero...

However, as you mentioned, since the turbine operates in an open system, the entropy generation in the fluid as it moves through the turbine is zero. It is not necessary that the Sgen in the vessel is zero, even though it is directly connected to the reversible cycle...is that right?
 
The word "cycle" means that the system comes back to its initial state over and over again. A cycle doesn't have to be reversible in order for this to happen, but, since entropy is a state function, the change in entropy must be zero for a complete cycle.

A turbine doesn't usually operate in a cycle, but it often does operate close to adiabatically and reversibly. So the change in entropy of the working fluid in passing through a turbine often is close to zero. However, this is usually not because it is operating in a cycle.
 
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