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The fluid viscosity u at any point in the boundary layer depends on the distance y of the point above the surface, the free stream velocity U and free stream velocity gradient dU/dx, the fluid kinematic viscosity v, and the boundary layer thickness δ. How many diminsionless groups are required to describe this problem? Find (a) two π groups by inspection (b) one π that is a standard fluid mechanics group and (c) any remaining π groups using the Buckingham Pi theorem.
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