Consider a laminar boundary layer flow over a flat plate for which the velocity profile can be approx- imated by, u/U = 2(y/δ) − 2(y/δ)3 + (y/δ)4 Show that this profile satisfies the appropriate boundary conditions. Using the momentum integral relation, equ. (9.26), derive expressions for δ/x and τw(x). Inte- grate τw(x) and obtain an expression for the drag coefficient, CD, as a function of Rel, where l is length of plate. Check/compare with results in Table 9.2.
Consider a laminar boundary layer flow over a flat plate for which the velocity profile can be approx- imated by, u/U = 2(y/δ) − 2(y/δ)3 + (y/δ)4 Show that this profile satisfies the appropriate boundary conditions. Using the momentum integral relation, equ. (9.26), derive expressions for δ/x and τw(x). Inte- grate τw(x) and obtain an expression for the drag coefficient, CD, as a function of Rel, where l is length of plate. Check/compare with results in Table 9.2.
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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Consider a laminar boundary layer flow over a flat plate for which the velocity profile can be approx- imated by, u/U = 2(y/δ) − 2(y/δ)3 + (y/δ)4
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Show that this profile satisfies the appropriate boundary conditions.
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Using the momentum integral relation, equ. (9.26), derive expressions for δ/x and τw(x). Inte- grate τw(x) and obtain an expression for the drag coefficient, CD, as a function of Rel, where l is length of plate. Check/compare with results in Table 9.2.
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