5.42. Derive Eq. 6.29. It is suggested that you use the coordinates shown in Fig. 6.27. Here the flow is in the x direction from left to right, and the slit extends a distance / in the z direction and / >> h. Choose as your element for the force balance a piece symmetrical about the y axis (other choices are possible but lead to more difficult mathematics). Hint: This is a repeat of the derivation of Eq. 6.8 in a different geometry. Simply follow that derivation, changing the geometry. y=-1/2- y=-=h y=0 · Δι FIGURE 6.27 Suggested dimensions for Prob. 6.42.

5.42. Derive Eq. 6.29. It is suggested that you use the coordinates shown in Fig. 6.27. Here the flow is in the x direction from left to right, and the slit extends a distance / in the z direction and / >> h. Choose as your element for the force balance a piece symmetrical about the y axis (other choices are possible but lead to more difficult mathematics). Hint: This is a repeat of the derivation of Eq. 6.8 in a different geometry. Simply follow that derivation, changing the geometry. y=-1/2- y=-=h y=0 · Δι FIGURE 6.27 Suggested dimensions for Prob. 6.42.

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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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

Consider how the new geometry in this problem affects the math/boundary condition/derivation. Both equations are listed!

6.42. Derive Eq. 6.29. It is suggested that you use the coordinates
shown in Fig. 6.27. Here the flow is in the x direction from left
to right, and the slit extends a distance / in the z direction and /
>> h. Choose as your element for the force balance a piece
symmetrical about the y axis (other choices are possible but
lead to more difficult mathematics). Hint: This is a repeat of the
derivation of Eq. 6.8 in a different geometry. Simply follow that
derivation, changing the geometry.
y=1/12
y==h
y=0
FIGURE 6.27
Suggested dimensions for Prob. 6.42.

V=
P₁
- (ΡΑΕ)
Q=
rá - r2 P – P2
4μ
Δε
(6.29)
(6.8)

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