Solving Bernoulli Problem with Water & Air Density

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SUMMARY

The discussion centers on the application of Bernoulli's equation for incompressible fluid flow, specifically addressing the use of air density in calculations involving a manometer filled with water. The user calculated a velocity of 0.166 meters/s using the formula V^2 = 2(p1-p2)/air density. The key question raised is whether it is appropriate to use air density in this context, given the presence of water in the manometer. The conclusion emphasizes that if the change in pressure of the gas is significantly smaller than its absolute pressure, the gas can indeed be treated as incompressible.

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  • Understanding of Bernoulli's equation for fluid dynamics
  • Knowledge of fluid density concepts, specifically air and water density
  • Familiarity with incompressible fluid flow principles
  • Basic grasp of pressure measurement techniques using manometers
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  • Research the implications of using different fluid densities in Bernoulli's equation
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Students and professionals in fluid dynamics, engineers working with fluid systems, and anyone involved in pressure measurement and analysis in various fluids.

commelion
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hi

i want to check if i have done this the right way as their are two density values given.
i used bernoulli's equation for incompressable fluid flow.

V^2 = 2(p1-p2)/air density = 0.166 meters/s

is it correct to use the air density in this way even though the manamoter is filled with water ? if not how should i address the difference ?

thanks in advance.
 

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If the change in pressure of the gas is much smaller than the absolute pressure of the gas, then the gas may be considered incompressible.
 

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