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A viscous fluid (Newtonian) flows in laminar flow through a slit formed by two parallel walls 2B apart. Since the numerical value of B is much smaller (B<

A viscous fluid (Newtonian) flows in laminar flow through a slit formed by two parallel walls 2B apart. Since the numerical value of B is much smaller (B<

Elements Of Electromagnetics
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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A viscous fluid (Newtonian) flows in laminar flow through a slit formed by two parallel walls 2B apart. Since the numerical value of B is much smaller (B<<W) than the numerical value of W, the extreme effects are not significant. Considering the shape, obtain the given relations for momentum flux and velocity distributions, either by establishing a differential momentum equivalence or by using the exchange equations. Also obtain the ratio of the average velocity to the greatest velocity in the slit and the analogy of the Hagen-Poiseuille law for flow.
Transcribed Image Text:A viscous fluid (Newtonian) flows in laminar flow through a slit formed by two parallel walls 2B apart. Since the numerical value of B is much smaller (B<<W) than the numerical value of W, the extreme effects are not significant. Considering the shape, obtain the given relations for momentum flux and velocity distributions, either by establishing a differential momentum equivalence or by using the exchange equations. Also obtain the ratio of the average velocity to the greatest velocity in the slit and the analogy of the Hagen-Poiseuille law for flow.
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