A reasonable approximation for the two-dimensional incompressible laminar boundary layer on the flat surface in Fig P4.17

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A reasonable approximation for the two-dimensional incompressible laminar boundary layer on the flat surface in Fig P4.17 is u = U (2y/∂ - y2/∂2) for y Where ∂ ≈ Cx 1/2 , C = const
(a) Assuming a no-slip condition at the wall, find an expression for the velocity component v(x, y) for y ≤ δ. (b) Then find the maximum value of v at the station x = 1 m, for the particular case of airflow, when U = 3 m/s and δ = 1.1 cm.

A reasonable approximation for the two-dimensional
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Engineering Fluid Mechanics

ISBN: 9781118880685

11th Edition

Authors: Donald F. Elger, Barbara A. LeBret, Clayton T. Crowe, John A. Robertson

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