Answered: Find an expression for the velocity of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Find an expression for the velocity of water leaving the sprinkler.

Find an expression for the gauge pressure at point A, a distance L1, upstream of the narrow pipes. Express the answer in terms of the flowrate, Q.

The inner diameter of the first segment of the pipe is d1=10mm, the inner diameter of the second set of pipes is d2=1mm, with N=25. The flowrate through the sprinkler is Q=0.2 L/s. Flow in pipes typically becomes turbulent when the Reynolds number exceeds 2000. Comment on the accuracy of the assumption that the flow could be treated as laminar everywhere.

May be assumed water has a density of 1000kg/m^3 and a viscosity of 1mPa s.

A sprinkler system pumps water through a large pipe inlet with a diameter (di). The pipe
then breaks into N narrow pipes (which have a diameter, d2, and a length, L2), before the
water is released to the atmosphere, as shown in figure Q4. The entrance to the small
pipe from the large pipe has a loss coefficient of KL. You may assume the flow is laminar
and fully developed everywhere in the system, and that any changes in height are
negligible.
The viscosity is not negligible

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