Reversible cycles and entropy generation

In summary, in a reversible cycle, the entropy generation in all components, including the heat reservoirs, is zero. However, in the case of a turbine, while it can be modeled as a reversible cycle, the entropy generation in the working fluid is not necessarily zero due to its operation as an open system. Therefore, the change in entropy of the working fluid in passing through a turbine can still be close to zero, but not necessarily due to its operation as a cycle.
  • #1
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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  • #2
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.
 
  • #3
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?
 
  • #4
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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  • #5


Reversible cycles are a fundamental concept in thermodynamics and play a crucial role in understanding the behavior of systems. In a reversible cycle, the system undergoes a series of changes and then returns to its original state without any net change in its surroundings. This means that the entropy generation within the system is zero, as you correctly stated.

Regarding your question about turbines, it depends on the specific conditions and design of the turbine. In an ideal scenario, where there is no friction or heat loss, a turbine can execute a reversible cycle. However, in reality, there will always be some degree of irreversibility and entropy generation in any system. Therefore, while turbines may not execute a completely reversible cycle, they can come close to it under certain conditions.

I hope this helps clarify your understanding of reversible cycles and entropy generation. Keep exploring and asking questions to deepen your understanding of these important concepts in thermodynamics.
 

1. What is a reversible cycle?

A reversible cycle is a thermodynamic process that can be reversed without any energy loss. This means that the system returns to its initial state after the cycle is completed, and there is no increase in entropy.

2. How is entropy generation related to reversible cycles?

Entropy generation is a measure of the amount of disorder or randomness in a system. In reversible cycles, the entropy generation is minimal because the process can be reversed, and the system returns to its initial state with no increase in entropy.

3. What factors affect the efficiency of reversible cycles?

The efficiency of a reversible cycle is affected by the temperature difference between the hot and cold reservoirs, the type of working fluid, and the design of the cycle. Higher temperature differences and more efficient working fluids can increase the efficiency of a reversible cycle.

4. Can a real-life process be completely reversible?

No, it is not possible for a real-life process to be completely reversible. This is because there are always some energy losses due to friction, heat transfer, and other factors. However, reversible cycles are used as a theoretical benchmark for determining the maximum possible efficiency of a process.

5. How do irreversible processes affect entropy generation?

Irreversible processes, also known as real processes, result in an increase in entropy generation. This is because some energy is lost as heat during these processes, leading to an increase in disorder and randomness in the system. The second law of thermodynamics states that the total entropy of a closed system always increases for irreversible processes.

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