The velocity profile in a fully developed laminar flow of water at 40°F in a 250-ft-long horizontal circular pipe, in ft/s, is given by u(r) = 0.8(1 - 625r2), where r is the radial distance from the centerline of the pipe in ft. Determine (a) the volume flow rate of water through the pipe, (b) the pressure drop across the pipe, and (c) the useful pumping power required to overcome this pressure drop.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The velocity profile in a fully developed laminar
flow of water at 40°F in a 250-ft-long horizontal circular
pipe, in ft/s, is given by u(r) = 0.8(1 - 625r2), where r
is the radial distance from the centerline of the pipe in ft.
Determine (a) the volume flow rate of water through the
pipe, (b) the pressure drop across the pipe, and (c) the useful
pumping power required to overcome this pressure drop.

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