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* / / 1/50 =2% of B.L. 1/60 = 1.67% of B.L. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Approxim ated velocity profiles in lam inarboundary layer u/U y/ Linear Sinusoidal P arabolic

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*/ /

1/50 =2% of B.L.1/60 = 1.67% of B.L.

Let , then dy = d because = (x).

* (Displacement thickness)

Parabolic velocity profile

(Momentum thickness)

Parabolic velocity profile

Comparison*/ /

Linear1/2 = 50% of B.L.1/6 = 16.7% of B.L.

Sinusoidal1-2/ = 36.3% of B.L.-1/2+2/ = 13.7% of B.L.

Parabolic1/3 = 33.3% of B.L.2/15 = 13.3% of B.L.

*** Note: B.L. means "Boundary Layer."