Explanation Given information: Two dimensional velocity field is ( U 0 + b x ) i → − b y j → . Here, the horizontal speed is U 0 . Write the expression for the velocity component along x direction. u = U 0 + b x ...... (I) Here, the constant is b and the variable in x direction is x . Write the expression for the velocity component along x direction. v = − b y ...... (II) Here, the variable in y direction is y . Write the expression for the velocity component along z direction. w = 0 ...... (III) Write the expression for the volumetric strain. 1 V ∂ V ∂ t = ε x x + ε y y + ε z z ...... (IV) Here, the strain along x direction is ε x x , the strain along y direction is ε y y , the strain along z direction is ε z z , velocity is V , the velocity gradient is ∂ V ∂ t , and strain rate is 1 V ∂ V ∂ t . Write the expression for the strain along x direction. ε x x = ∂ u ∂ x ...... (V) Write the expression for the strain along y direction. ε y y = ∂ v ∂ y

4th Edition

ISBN: 2810022150991

Author: CENGEL

Publisher: MCG

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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 stat…

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Chapter 4, Problem 50P

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Whether the flow field is incompressible.

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Chapter 4, Problem 49CP

Chapter 4, Problem 51P

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Chapter 4 Solutions

FLUID MECHANICS FUNDAMENTALS+APPS

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