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Using the continuity equation u/ x + v/ y=0 along with the velocity distribution

ID: 1856744 • Letter: U

Question

Using the continuity equation u/ x + v/ y=0 along with the velocity distribution u/u infinity =3/2 y/delta - 1/2(y/delta)3 and and the expression for the boundary-layer thickness delta/x=4. 64/ Rex derive an expression for the y component of the velocity, v, as a function of x and y. Calculate the value of v at the outer edge of the boundary layer (y=delta) at distances of x=15 and 30 cm from the leading edge for air at 27C, P=1 atm, u delta=2 m/s. the dynamic viscosity of air, mu = 1.85 times 10-5 Kg/ms, density rho=0.99 kg/m3.

Explanation / Answer

Coefficient Standard Error t Stat P-value Lower 95% Upper 95% Intercept b0 74.771 16.7626 4.4610 0.0002 40.2540 109.3003 ERA b1 -12.3206 3.2066 -3.8423 0.0007 -18.9247 -5.7166 Run Scored b2 0.08433 0.0079 10.6414 9.0114E-11 0.0680 0.1007 Hits Allowed b3 -.0107 0.0163 -0.6563 0.5176 -0.0441 0.0228 Saves b4 0.2731 0.1203 2.2703 0.0321 0.0254 0.5208

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