A biomedical device is thrombogenic and thus must be coated with a thin biocompatible film as in Fig. 9.24. Assume that the fluid adheres to the device (no slip) as the device is pulled through it. Assume a constant film thickness h, and that the fluid behaves as Newtonian and incompressible. By solving Navier-Stokes, show that h ffiffiffiffiffiffiffiffiffi 2U gx s : Hint: Assume vx(y h) 0 in addition to the free-surface boundary condition vx/y (y h) 0. What is implied by the latter condition