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Laminar Boundary Layer Flow Problem

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Text Book : Viscous Fluid Flow by Tasos C. Papanastasiou
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Problem (8.1)
8.1. Water approaches an infinitely long and thin plate with uniform velocity.
(a) Determine the velocity distribution ux in the boundary layer given that
ux(x, y) = a(x)y² + b(x)y + c(x) .
(b) What is the flux of mass (per unit length of plate) across the boundary layer?
(c) Calculate the magnitude and the direction of the force needed to keep the plate in place.

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