A thin plate is pulled at a speed V through a small gap of hieht h as shown in figure below.The space on both sides of the plate contains different types of fluids.Fixed wallOil ulPlatehV (m/s)Oil p2Fixed wallProve that the postion of the plate y takes the form:H,h(H + H2)i.y =When the shear forces are equal on the both sides of the palte.ii. y = Jui+/u2)When the drage force is minimum.

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A thin plate is pulled at a speed V through a small gap of hieht h as shown in figure below. The space on both sides of the plate contains different types of fluids.

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

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

A thin plate is pulled at a speed V through a small gap of hieht h as shown in figure below.
The space on both sides of the plate contains different types of fluids.
Fixed wall
Oil ul
Plate
h
V (m/s)
Oil p2
Fixed wall
Prove that the postion of the plate y takes the form:
H,h
(H + H2)
i.
y =
When the shear forces are equal on the both sides of the palte.
ii. y = Jui+/u2)
When the drage force is minimum.

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