When a viscous fluid flows past a thin sharp-edged plate, a thin layer adjacent to the p...

When a viscous fluid flows past a thin sharp-edged plate, a thin layer adjacent to the plate surface develops in which the velocity, u, changes rapidly from zero to the approach velocity, U, in a small distance, δ. This layer is called a boundary layer. The thickness of this layer increases with the distance x along the plate as shown in Fig. P1.46. Assume that u = Uy/ δ and where v is the kinematic viscosity of the fluid. Determine an expression for the force (drag) that would be developed on one side of the plate of length l and width b. Express your answer in terms of , b, and p, where p is the fluid density.