An expression for the laminar velocity profile on a flat plate isu=C1sin(C2y)+C3Where the argument of the sine function is in radians. Using the three common physicalconditions that the velocity profile should satisfy, determine a) the constants C1, C2, and C3.b) the nondimensional velocity profilec) the boundary thickness (δ/x) as a function of lengthd) the skin friction coefficient, Cf as a function of lengthe) displacement thickness (δ*/x) as a function of lengthf) the momentum thickness (θ/x) as a function of lengthg) the drag force (FD) on both sides of the plate

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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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An expression for the laminar velocity profile on a flat plate is

u=C₁sin(C₂y)+C₃

Where the argument of the sine function is in radians. Using the three common physical
conditions that the velocity profile should satisfy, determine

a) the constants C₁, C₂, and C₃.
b) the nondimensional velocity profile
c) the boundary thickness (δ/x) as a function of length
d) the skin friction coefficient, Cf as a function of length
e) displacement thickness (δ*/x) as a function of length
f) the momentum thickness (θ/x) as a function of length
g) the drag force (FD) on both sides of the plate

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