Calculating Volumetric Flow Rate and Power in a Fluid Mechanics System

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SUMMARY

The discussion focuses on calculating the volumetric flow rate and power dissipation due to friction in a fluid mechanics system involving two pipes with different diameters. The internal diameters are 100mm at point A and 150mm at point B, with pressure heads of 21m and 15m water column, respectively. The vertical distance between A and B is 9m, and the head loss due to friction is 2m. The calculations required are based on Bernoulli's equation and the Darcy-Weisbach equation for head loss.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of the Darcy-Weisbach equation for head loss
  • Familiarity with fluid properties and flow rate calculations
  • Basic principles of fluid mechanics
NEXT STEPS
  • Calculate volumetric flow rate using the continuity equation
  • Determine power dissipation using the formula P = Q * ΔP
  • Explore the effects of pipe diameter on flow rate and pressure loss
  • Review friction factor calculations for different pipe materials
USEFUL FOR

Fluid mechanics students, engineers working on hydraulic systems, and professionals involved in fluid flow analysis will benefit from this discussion.

nickenrite
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If anyone could give any help with this problem it would be much appreciated.

At A, a pipe has a bore(internal diameter) of 100mm and at B it is 150mm. The pressure head at A and B are 21m and 15m water coloumn respectively. There is no pump between A and B while the distance between A and B is 9m measured vertically. the loss of head due to friction between A and B is 2m water coloumn. Determine:

i) The volumetric flow rate through the system
ii) The power dissipated due to friction.

Thanks
 
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Hi nickenrite! :wink:

Show us what you've tried on this pressure problem, and where you're stuck, and then we'll know how to help! :smile:
 

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