1. A liquid film of uniform thickness & forms over a solid surface that is moving in the x direction with a constant velocity vo (see figure). The surface forms an angle with the vertical direction. Physical properties of the liquid (u, p) are known. air Vo free surface ---- o g solid surface X (a) Starting with the Navier-Stokes equations (x component), find the velocity field, vx(y). Assume that vo is known. (b) Find the force in the x direction that must be applied to the solid surface to keep it moving with velocity vo. The solid surface has a length L (x direction) and a depth W (z direction). Neglect the weight of the solid surface. (c) Find an expression to calculate the value of vo that will result in no net transport of liquid up or down the solid surface (that is, in the x direction.) Sketch the velocity profile for this case