Pressure on a sample of fluid (at rest)

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    Fluid Pressure Rest
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SUMMARY

The discussion centers on the principles of fluid pressure, specifically addressing how pressure is transmitted in a fluid at rest according to Pascal's law. The participants clarify that pressure at two points in a fluid, A and B, is equal despite differing numbers of molecules above them, due to the isotropic nature of pressure. The weight of the fluid column above a point contributes to the pressure at that point, but the pressure is uniformly transmitted throughout the fluid, ensuring that P_a equals P_b. The conversation emphasizes that pressure is not solely dependent on the vertical column of fluid above a point but is influenced by the overall distribution of molecules in the fluid.

PREREQUISITES
  • Understanding of Pascal's Law in fluid mechanics
  • Knowledge of hydrostatic pressure concepts
  • Familiarity with isotropic pressure behavior in fluids
  • Basic principles of fluid density and gravity's effect on pressure
NEXT STEPS
  • Study the derivation of hydrostatic pressure equations in fluids
  • Explore the implications of Pascal's Law in hydraulic systems
  • Investigate the concept of isotropy in fluid dynamics
  • Learn about pressure measurement techniques in various fluid scenarios
USEFUL FOR

This discussion is beneficial for students of fluid mechanics, engineers working with hydraulic systems, and anyone interested in understanding the principles of pressure in fluids at rest.

  • #31
Kaushik said:
It must be equal so that it doesn't flow.

Then for that cubical part to not flow the pressure on top surface must be equal to that of the pressure on the side surface. Hence, pressure on both the cubical part is equal. Is it?
Yes, that is it. That is how you arrive at Pascal's principle.
 
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