Consider fully developed Couette flow—flow between two infinite parallel
plates separated by distance h, with the top plate moving and the bottom plate
stationary as illustrated in Fig. P7–52. The flow is steady, incompressible, and
two-dimensional in the xy-plane. Use the method of repeating variables to
generate a dimensionless relationship for the x-component of fluid velocity u as
a function of fluid viscosity , top plate speed V, distance h, fluid density , and
distance y. Show all your work.