Water is moving through a pipe. The velocity profile at some section is shown fig. 1-4 and is given mathematically as v=(b/4u)(d^2/4-r^2), where v=velocity of water at any position r, B= a constant, u=viscosity of water, d=pipe diameter, and r= radial distance from centerline. what is shear stress at the wall of the pipe due to the water? What is the shear at a position r= d/4? If the given profile persists a distance L along the pipe, what drag is induced on the pipe by the water in the direction of flow over this distance?
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