ii) Derive an expression for the velocity normal to the stream wise direction given that, u/U₁ = f (n). A laminar boundary layer profile may be assumed to be approximately of the form u/U₁ = f(n) = f(y/6) i) Use an integral analysis with the following two-segment velocity profile, f(n)=(n/6)(10-3n-13), for 0≤17 ≤0.293 and ƒ (7) = sin (лn/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 a, and the drag coefficient CD.

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ii) Derive an expression for the velocity normal to the stream wise direction given that,
u/U₁ = f (n).
Transcribed Image Text:ii) Derive an expression for the velocity normal to the stream wise direction given that, u/U₁ = f (n).
A laminar boundary layer profile may be assumed to be approximately of the form
u/U₁ = f(n) = f(y/6)
i) Use an integral analysis with the following two-segment velocity profile,
f(n)=(n/6)(10-3n-13), for 0≤17 ≤0.293 and ƒ (7) = sin (лn/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 a, and the drag coefficient CD.
Transcribed Image Text:A laminar boundary layer profile may be assumed to be approximately of the form u/U₁ = f(n) = f(y/6) i) Use an integral analysis with the following two-segment velocity profile, f(n)=(n/6)(10-3n-13), for 0≤17 ≤0.293 and ƒ (7) = sin (лn/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 a, and the drag coefficient CD.
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