8 2. An incompressible, viscous fluid is placed between horizontal, infinite, parallel plates as is shown in Fig. The two plates move in opposite directions with constant velocities, U, and U, as shown. The pressure gradient in the x direction is zero, and the only body force is due to the fluid weight. Use the Navier-Stokes equations to derive an expression for the velocity distribution Step 1: List the Assumptions S Step 2: Simplify the Cont. eq. Show your reasons !!! Step 3: Simplify the x-mom eq. and find an equation for u-vel. Show your reasons !!! 10 Step 4: Apply the BC.'s below and find the coefficients of the u-vel Step 5: Substitute the coefficients and Express the u-vel as function of y