An incompressible Newtonian fluid having a thickness of h, flows steadily in the x- direction along a fixed wall of infinite extent by the influence of the gravitational force (g=9.81 m/s²). There is no pressure change in the flow direction and air friction is negligible. Using the given parameter values; a. determine the velocity function, b. calculate the shear stress that will occur along the wall. N ४ fixed wall air h Ө 16.0

An incompressible Newtonian fluid having a thickness of h, flows steadily in the x- direction along a fixed wall of infinite extent by the influence of the gravitational force (g=9.81 m/s²). There is no pressure change in the flow direction and air friction is negligible. Using the given parameter values; a. determine the velocity function, b. calculate the shear stress that will occur along the wall. N ४ fixed wall air h Ө 16.0

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

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

An incompressible Newtonian fluid having a thickness of h, flows steadily in the x-
direction along a fixed wall of infinite extent by the influence of the gravitational force
(g=9.81 m/s²). There is no pressure change in the flow direction and air friction is
negligible. Using the given parameter values;
a determine the velocity function,
b. calculate the shear stress that will occur along the wall.
Z
fixed wall
air
h
0
16.0
↓

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Step 1: Defining the given data

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Step 2: Finding equation of velocity as a fucnction of y

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Step 3: Finding the constants C1 & C2

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Step 4: Finding velocity function

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Step 5: Finding shear stress at the wall

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