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Question 2 a) A laminar boundary layer profile may be assumed to be approximately of the form u/Ue= f (n)=f(y/8) i) Use an integral analysis with the following two-segment velocity profile, ƒ (n)=(n/6)(10–3n−1³), for 0≤7≤0.293 and ƒ (7) = sin (л7/2) 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). iii) Hence obtain the velocity normal to the stream wise direction for the above two- segment velocity profile.

Question 2 a) A laminar boundary layer profile may be assumed to be approximately of the form u/Ue= f (n)=f(y/8) i) Use an integral analysis with the following two-segment velocity profile, ƒ (n)=(n/6)(10–3n−1³), for 0≤7≤0.293 and ƒ (7) = sin (л7/2) 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). iii) Hence obtain the velocity normal to the stream wise direction for the above two- segment velocity profile.

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Question 2 a) A laminar boundary layer profile may be assumed to be approximately of the form u/Ue= f (n)=f(y/8) i) Use an integral analysis with the following two-segment velocity profile, ƒ (n)=(n/6)(10–3n−1³), for 0≤7≤0.293 and ƒ (7) = sin (л7/2) 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). iii) Hence obtain the velocity normal to the stream wise direction for the above two- segment velocity profile.
Transcribed Image Text:Question 2 a) A laminar boundary layer profile may be assumed to be approximately of the form u/Ue= f (n)=f(y/8) i) Use an integral analysis with the following two-segment velocity profile, ƒ (n)=(n/6)(10–3n−1³), for 0≤7≤0.293 and ƒ (7) = sin (л7/2) 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). iii) Hence obtain the velocity normal to the stream wise direction for the above two- segment velocity profile.
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