Answered: A viscous fluid (Newtonian) flows in…

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

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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Question

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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Step 1: Define the given data and what is to find.

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Step 2: Determine the momentum flux.

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Step 3: Determine the velocity distribution.

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Step 4: Determine the maximum velocity and average velocity.

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Step 5: Determine the ratio of the average to the maximum velocity.

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