Conditions are adiabatic and reversible about a turbine

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SUMMARY

The discussion centers on the relationship between adiabatic, reversible conditions and isentropic processes in turbines. It is established that while adiabatic processes can be isentropic, this is only true under quasi-static conditions where the system remains in equilibrium. The confusion arises from the assumption that all adiabatic processes are isentropic, which is incorrect. The differential entropy equation dS = δQ/T applies specifically to reversible processes, highlighting the importance of system dynamics in turbine operations.

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  • Understanding of thermodynamic principles, specifically the First Law of Thermodynamics.
  • Familiarity with the concept of entropy and its mathematical representation.
  • Knowledge of adiabatic processes and their characteristics.
  • Insight into the dynamics of turbine operations and fluid mechanics.
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  • Study the implications of the First Law of Thermodynamics in real-world applications.
  • Research the differences between adiabatic and isentropic processes in thermodynamics.
  • Explore the dynamics of gas expansion in turbines and its impact on performance.
  • Learn about quasi-static processes and their significance in thermodynamic systems.
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Engineers, thermodynamics students, and professionals involved in turbine design and optimization, as well as anyone interested in advanced thermodynamic concepts.

scott_for_the_game
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Why is it when the conditions are adiabatic and reversible about a turbine, the assumption is its isentropic?
 
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scott_for_the_game said:
Why is it when the conditions are adiabatic and reversible about a turbine, the assumption is its isentropic?
If dQ = 0, then dS = dQ/T = 0.

This would seem to imply that all adiabatic processes are isentropic (constant entropy - ie dS = 0) which is not true. The relation: dS = dQ/T assumes a quasi static process in which the system is always at equilibrium. If the process is quasi-static and adiabatic, the process is isentropic.

I don't see how this would apply to a turbine, however. The expanding gas is necessarily dynamic (in order to drive the turbine), not quasi-static/reversible.

AM
 
you are missing a few terms in your entropy equation. You can't simply assume that dS=dQ/T.
 
sicjeff said:
you are missing a few terms in your entropy equation. You can't simply assume that dS=dQ/T.
I am not assuming that dS = dQ/T. That is the thermodynamic definition of dS.

Wikipedia said:
"[URL
Quantitatively, entropy, symbolized by S, is defined by the differential quantity dS = δQ / T, where δQ is the amount of heat absorbed in a reversible process in which the system goes from one state to another, and T is the absolute temperature.[3][/URL]

AM
 
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