Adiabatic process for water

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SUMMARY

The discussion centers on the relationship between pressure, temperature, and volume in water during an adiabatic process. Unlike ideal gases, water is virtually incompressible in its liquid or solid states, resulting in minimal volume change under high pressure. Consequently, when pressure increases without heat addition, there is negligible change in internal energy or temperature. Bernoulli's equation is referenced to explain the dynamics of water flow under varying pressures.

PREREQUISITES
  • Understanding of thermodynamic principles, particularly adiabatic processes.
  • Familiarity with Bernoulli's equation and fluid dynamics.
  • Knowledge of the properties of water in different states (liquid and solid).
  • Basic concepts of pressure and temperature relationships in thermodynamics.
NEXT STEPS
  • Research the implications of incompressibility in liquids versus gases.
  • Study the derivation and applications of Bernoulli's equation in fluid mechanics.
  • Explore the concept of internal energy and its relation to temperature changes in adiabatic processes.
  • Investigate real-world applications of adiabatic processes in engineering and environmental science.
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Students and professionals in thermodynamics, fluid mechanics, and engineering, particularly those interested in the behavior of water under varying pressure and temperature conditions.

JD9
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I was just wondering if there is a relationship between Pressure, Temperature , and Volume like there is for Ideal Gases, but for water.

ie. for Ideal Gas:
TV^(gamma-1) = constant
PV^gamma = constant

Any insight would be greatly appreciated,

Thanks in advance.
 
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JD9 said:
I was just wondering if there is a relationship between Pressure, Temperature , and Volume like there is for Ideal Gases, but for water.

ie. for Ideal Gas:
TV^(gamma-1) = constant
PV^gamma = constant

Any insight would be greatly appreciated,
Water in its liquid or solid state is virtually incompressible, so there is little volume change even under very high pressure. So there is not much work that is done when increasing pressure to water. If there is not much work done and no heat added (because it is adiabatic), there is no not much change in internal energy (ie. temperature) with pressure.

Bernoulli's equation explains how the speed of water will change with dynamic pressure when water is flowing.

AM
 

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