The Bernoulli principle from the perspective of statistical mechanics

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SUMMARY

The discussion centers on the Bernoulli principle and its relationship with statistical mechanics, specifically addressing the pressure of an ideal gas. It is established that, according to statistical mechanics, the pressure in an ideal gas is independent of velocity. However, in the context of gas flow within a channel, pressure does depend on velocity. Clarification is sought regarding the conditions under which statistical mechanics supports the independence of pressure from velocity.

PREREQUISITES
  • Understanding of the Bernoulli principle
  • Familiarity with statistical mechanics concepts
  • Knowledge of ideal gas behavior
  • Basic principles of fluid dynamics
NEXT STEPS
  • Research the derivation of the Bernoulli equation in fluid dynamics
  • Study the relationship between pressure and velocity in ideal gas flow
  • Explore the implications of statistical mechanics on gas properties
  • Investigate conditions under which pressure independence is valid in statistical mechanics
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Students and professionals in physics, particularly those focusing on fluid dynamics and statistical mechanics, as well as engineers working with gas flow systems.

mfduqued
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Hi community,

I have a question about the Bernoulli principle. From statistical mechanics the pressure in the ideal gas is independent of velocity.

But in the case of the flow of an ideal gas in a channel, the pressure depends on the velocity.

Where can I clarify this misunderstanding?

Thanks for your time, and any suggestion
 
Physics news on Phys.org
mfduqued said:
From statistical mechanics the pressure in the ideal gas is independent of velocity.
Under what circumstances does SM derive this statement of independency ?
 

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