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theBEAST
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Here is the problem and the solution
Why does P=F/A not work?
Why Does P=F/A Not Accurately Determine Surface Pressure in Thin-Walled Vessels?
- Thread starter theBEAST
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SUMMARY
The equation P=F/A fails to accurately determine surface pressure in thin-walled vessels because it only calculates average pressure, not the varying pressure distribution within the vessel. When a tank is filled to a height h, the pressure at the surface is significantly different from the pressure at the bottom due to hydrostatic pressure principles. This discrepancy arises from the fact that pressure increases with depth, necessitating a more nuanced approach to pressure calculations in fluid mechanics.
PREREQUISITES- Understanding of hydrostatic pressure principles
- Familiarity with fluid mechanics concepts
- Knowledge of pressure measurement techniques
- Basic mathematical skills for pressure calculations
- Study the hydrostatic pressure formula: P = ρgh
- Explore the differences between average and point pressure measurements
- Learn about pressure distribution in various vessel geometries
- Investigate the implications of thin-walled vessel theory in engineering applications
Students and professionals in engineering, particularly those focusing on fluid mechanics, pressure vessel design, and related fields.
Here is the problem and the solution
Why does P=F/A not work?
- #2
Nugatory
Mentor
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P=F/A gives you the average pressure. What's the pressure at the surface when the tank is filled to height h and what's the pressure at the bottom of the tank?