Is My Method for Calculating Pump Head Required Correct?

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SUMMARY

The method for calculating the pump head required for a fluid transfer system is confirmed to be correct. The calculation includes the elevation difference of 18m, frictional losses of 1.706m, and the pressure head of 10.62m, resulting in a total pump head requirement of 31.345m. The fluid density used in the calculations is 960 kg/m³, and the pressures considered are 1 bar for the storage vessel and 2 bar absolute for the pressurized vessel. The approach effectively incorporates both minor and frictional losses, validating the accuracy of the final result.

PREREQUISITES
  • Understanding of fluid mechanics principles, specifically pump head calculations.
  • Familiarity with pressure conversions and units (e.g., bar to Pascal).
  • Knowledge of head loss due to friction and minor losses in piping systems.
  • Proficiency in using the Bernoulli equation for fluid flow analysis.
NEXT STEPS
  • Study the Darcy-Weisbach equation for calculating head loss due to friction in pipes.
  • Learn about minor loss coefficients for various fittings and valves in fluid systems.
  • Explore pump selection criteria based on calculated head requirements and fluid properties.
  • Investigate the impact of fluid density variations on pump head calculations.
USEFUL FOR

Engineers, fluid mechanics students, and professionals involved in designing and analyzing fluid transfer systems will benefit from this discussion.

evoke1l1
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Homework Statement


I need to calculate the pump head required for a fluid transfer system.

The pump is located 3m above a storage vessel vented to atmosphere (1 bar) with a total pipe length of 5m to pump suction. The pump discharge is connected to a pressurised vessel at 2 bar absolute with an elevation of 15m and a total pipe length of 27m from pump discharge.

Homework Equations


Fluid Density 960 kg m^3

Head loss from friction on suction side: 0.266m
Minor head losses on suction side: 0.249m

Head loss from friction discharge side: 1.44m
Minor head losses on discharge side: 0.77m

The Attempt at a Solution


I've worked out the head required to overcome the pressurised vessel as:

p/ρg = 100000 / 960 × 9.81 = 10.62m

p = 100000 because this would be the gauge pressure in Pa.

To calculate the pump head required I have basically added the sum of height elevation (18m) plus the minor and frictional losses along with the head required to account for the 1 bar increased pressure of the pressurised vessel. This leaves me with an answer of 31.345m for pump head required (Hp).

Would this method be correct or do I need to re-evaluate my method?
 
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This looks OK to me.
 
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Likes   Reactions: evoke1l1
Thank you.
 

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