Is There a Connection Between Pressure, Temperature, and Velocity in Liquids?

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SUMMARY

The discussion establishes that there is no direct equivalent of the ideal gas law for liquids due to their complex molecular interactions. Unlike gases, where molecules are treated as non-interacting points, liquids exhibit properties that depend on the interactions between molecules, making them incompressible. The focus is specifically on the relationship between pressure, volume, and temperature in liquids, rather than pressure and velocity.

PREREQUISITES
  • Understanding of fluid dynamics
  • Knowledge of thermodynamics principles
  • Familiarity with the ideal gas law
  • Basic concepts of molecular interactions in liquids
NEXT STEPS
  • Research the Navier-Stokes equations for fluid motion
  • Explore the principles of incompressible fluid flow
  • Study the relationship between pressure, volume, and temperature in liquids
  • Investigate molecular dynamics simulations for liquid behavior
USEFUL FOR

Students and professionals in physics, engineering, and fluid mechanics who are interested in the properties and behaviors of liquids under varying pressure and temperature conditions.

banerjeerupak
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Is there a relation between pressure/velocity and temperature for liquids. Something like the ideal gas law for fluids in general?
 
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Do you mean pressure/volume or pressure/(sound)velocity?

In general fluids are more complex. In an ideal gas you assume that the molecules never touch and so it's just Newtonian mechanics of perfect points moving around. With a liquid all the properties depend on interactions between the molecules of the fluid
 
I can not assume it to be compressible fluid. So the ideal gas law is ruled out.

I mean the pressure (volume) and temperature.
 

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