# Problem 3 Air flows over a flat plate at 4 m/s. An approximation for the x...

###### Question:

Problem 3 Air flows over a flat plate at 4 m/s. An approximation for the x component of velocity in the in- compressible laminar boundary layer is a sinusoidal variation from u-0 at the surface (y-0) to the freestream velocity, U, at the boundary-layer edge (y-5). The equation for the profile is u-Usin( %), where cVx and c is a constant. The boundary layer is 9 mm thick 1 m from the edge of the plate. (a) Predict the boundary-layer thickness 8 when x-1.5m (b) Calculate the velocity component u when (x.y)-(1.5m,5mm) (c) Calculate o and ý at (x.y)-(1.5m,5mm). Assume 0 (d) Is it reasonable to assume the boundary layer is laminar when x-1.5m? Explain.

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