Pump Pressure for Fluid Mechanics: H, v, P0

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SUMMARY

The discussion focuses on determining the necessary pressure P that a pump must exert to deliver water at a velocity v to a height H in a building, considering the fluid as incompressible and inviscid. It emphasizes the importance of accounting for the dynamic pressure drop in the pipes caused by turbulence and the Reynolds number. The atmospheric pressure P0 at the consumption point is also a critical factor in the calculations. An online calculator is provided for practical application of these concepts.

PREREQUISITES
  • Understanding of fluid mechanics principles, specifically Bernoulli's equation.
  • Familiarity with concepts of pressure, velocity, and height in fluid systems.
  • Knowledge of turbulence effects and Reynolds number in fluid flow.
  • Basic skills in using online calculators for pressure drop calculations.
NEXT STEPS
  • Explore Bernoulli's equation and its applications in fluid mechanics.
  • Learn about calculating Reynolds number and its significance in flow regimes.
  • Investigate methods to minimize turbulence in piping systems.
  • Utilize the online pressure drop calculator to practice real-world applications.
USEFUL FOR

Engineers, fluid mechanics students, and professionals involved in designing pumping systems and fluid transport solutions.

r.wazlib
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How large should be the pressure P, pumped by a pump to supply water with velocity v to a part of a building at the height H, where it is consumed. The liquid may be considered as incompressible and inviscid and the flow, as steady and irrotational. (Hint: take into account that the water inside the pump has zero velocity and that it is consumed at the atmospheric pressure P0).
 
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This sounds like homework. Even so, in order to solve the real problem, you need to know the dynamic pressure drop in the pipes themselves due to turbulence and Reynold's number. Here is an online calculator (needs Java installed):
http://www.pipeflowcalculations.com/pressuredrop/index.htm
 
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