Flow passes over a flat, horizontal surface, with an x-velocity distribution given by
u(x,y)=U[(3)/(2)((y)/(5)sqrt{(
ho U)/(mu x)})-(1)/(2)((y)/(5)sqrt{(
ho U)/(mu x)})^{3}].
Here, x is the coordinate along the surface in the flow direction, and it spans 0->L; y is the distance above the surface, with y=0 being the surface and y>0 being in the flow; and z is the coordinate along the surface perpendicular to the flow direction, spanning 0->W. U,
ho, and mu are constants.
(a) What is the shear stress on the surface, au(x,z)?
(b) What is the total shear force on the surface, F_{shear}?
