In two dimensional boundary layer, shear stress was changed linearly from the solid surface toward y-axis until it reach the value of zero at y = 6. Based on Table 2 and setting given to you; (i) Derive the equation of displacement thickness and momentum thickness using Von Karman Approximation Method : and (ii) Determine the accuracy of this method in determining the value of displacement thickness and momentum thickness. Table 2.: Equation of Velocity Profile Setting Equation uU = 2y/8 - (y/ 8)² u/U = 3(y/)/2 – (y/8}³/2 1

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.50P
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(b)
In two dimensional boundary layer, shear stress was changed linearly from the
solid surface toward y-axis until it reach the value of zero at y = 0. Based on
Table 2 and setting given to you;
(i)
Derive the equation of displacement thickness and momentum thickness
using Von Karman Approximation Method ; and
(ii)
Determine the accuracy of this method in determining the value of
displacement thickness and momentum thickness.
Table 2: Equation of Velocity Profile
Equation
u/U = 2y/8 - (y/8)²
uU = 3(y/S)/2 – (y/8)3/2
Setting
1
2
Transcribed Image Text:(b) In two dimensional boundary layer, shear stress was changed linearly from the solid surface toward y-axis until it reach the value of zero at y = 0. Based on Table 2 and setting given to you; (i) Derive the equation of displacement thickness and momentum thickness using Von Karman Approximation Method ; and (ii) Determine the accuracy of this method in determining the value of displacement thickness and momentum thickness. Table 2: Equation of Velocity Profile Equation u/U = 2y/8 - (y/8)² uU = 3(y/S)/2 – (y/8)3/2 Setting 1 2
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