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Question 2 a) A laminar boundary layer profile may be assumed to be approximately of the form u/U₁ = f(n) = f(y/8) i) Use an integral analysis with the following two-segment velocity profile, ƒ (n) = (1/6)(10-3n-n³), for 0≤n≤0.293 and f(n) = sin (n/2) for 0.293≤ n ≤1, to find expressions for the displacement thickness &*, the momentum thickness e, the shape factor H, the skin-friction coefficient C, and the drag coefficient CD. ii) Derive an expression for the velocity normal to the stream wise direction given that, u/U₂ = f (n). e iii) Hence obtain the velocity normal to the stream wise direction for the above two- segment velocity profile. MacBook Air I

Question 2 a) A laminar boundary layer profile may be assumed to be approximately of the form u/U₁ = f(n) = f(y/8) i) Use an integral analysis with the following two-segment velocity profile, ƒ (n) = (1/6)(10-3n-n³), for 0≤n≤0.293 and f(n) = sin (n/2) for 0.293≤ n ≤1, to find expressions for the displacement thickness &*, the momentum thickness e, the shape factor H, the skin-friction coefficient C, and the drag coefficient CD. ii) Derive an expression for the velocity normal to the stream wise direction given that, u/U₂ = f (n). e iii) Hence obtain the velocity normal to the stream wise direction for the above two- segment velocity profile. MacBook Air I

Elements Of Electromagnetics
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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Question 2 a) A laminar boundary layer profile may be assumed to be approximately of the form u/U₁ = f(n) = f(y/8) i) Use an integral analysis with the following two-segment velocity profile, ƒ (n) = (1/6)(10-3n-n³), for 0≤n≤0.293 and f(n) = sin (n/2) for 0.293≤ n ≤1, to find expressions for the displacement thickness &*, the momentum thickness e, the shape factor H, the skin-friction coefficient C, and the drag coefficient CD. ii) Derive an expression for the velocity normal to the stream wise direction given that, u/U₂ = f (n). e iii) Hence obtain the velocity normal to the stream wise direction for the above two- segment velocity profile. MacBook Air I
Transcribed Image Text:Question 2 a) A laminar boundary layer profile may be assumed to be approximately of the form u/U₁ = f(n) = f(y/8) i) Use an integral analysis with the following two-segment velocity profile, ƒ (n) = (1/6)(10-3n-n³), for 0≤n≤0.293 and f(n) = sin (n/2) for 0.293≤ n ≤1, to find expressions for the displacement thickness &*, the momentum thickness e, the shape factor H, the skin-friction coefficient C, and the drag coefficient CD. ii) Derive an expression for the velocity normal to the stream wise direction given that, u/U₂ = f (n). e iii) Hence obtain the velocity normal to the stream wise direction for the above two- segment velocity profile. MacBook Air I
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