Specific Heats for Incompressible Fluids

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SUMMARY

The discussion centers on the relationship between specific heats for incompressible fluids, specifically addressing the equation Cp = Cv + R, where Cp is specific heat at constant pressure, Cv is specific heat at constant volume, and R is the universal gas constant. It is established that for incompressible fluids, Cp equals Cv because the gas constant R is effectively zero. Participants clarify that specific heat values are typically provided in problem statements or reference tables, eliminating the need for complex calculations in practical scenarios.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically specific heats.
  • Familiarity with the concepts of constant pressure and constant volume.
  • Knowledge of the universal gas constant (R) and its implications.
  • Ability to reference and interpret thermodynamic tables.
NEXT STEPS
  • Research the derivation and implications of the equation Cp = Cv + R.
  • Study the properties of incompressible fluids in thermodynamics.
  • Explore how specific heat values are tabulated for various fluids.
  • Learn about the applications of specific heats in engineering problems.
USEFUL FOR

Students and professionals in thermodynamics, mechanical engineers, and anyone involved in fluid mechanics or heat transfer analysis will benefit from this discussion.

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Given the following equation:

Cp = Cv + R

Where Cp is specific heat (constant pressure), Cv is specific heat (constant volume), and R is the universal gas constant.

However, my book states that for an incompressible fluid, Cp = Cv.

How can this be the case given the above equation? R is a constant for any given fluid, so why is is zero for an incompressible fluid?
 
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Nevermind, I think I figured it out
 
Can you explain to me what you figured out then (or someone)?
I don't understand how the specific heat for an ICL is supposed to be determined.
 
Elbobo said:
Can you explain to me what you figured out then (or someone)?
I don't understand how the specific heat for an ICL is supposed to be determined.
The specific heat is usually provided for you in the problem statement, or in a table somewhere in the textbook.
 

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