Question

P4.17 An excellent approximation for the two-dimensional incompressible laminar boundary layer on the flat surface in Fig. P4.17 is u \approx U\left(2 \frac{y}{\delta}-2 \frac{y^{3}}{\delta^{3}}+\frac{y^{4}}{\delta^{4}}\right) \text { for } y \leq

\delta, \text { where } \delta=C x^{1 / 2}, C=\text { constant } (a) Assuming a no-slip condition at the wall, find an expression for the velocity component v(x,y) for y < & (b) Then find the maximum value of v at the station x= 1 m, for the particularcase of airflow, when U=3 m/s and 8= 1.1 cm. Hint: No slip condition is specifided on page 38 of the textbook. Show your steps. b. [Vmax = 0.005 m/s]

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