5. Consider the problem where fluid is flowing in the z direction due to pressure difference and gravity. The velocity is only a function of x. The viscosity is NOT a constant. Viscosity is a function of x which is given as follows (a and B are constants). Fluid inlet 0 ax u(x) = Moe B Left Wall Right Wall a. Derive the governing momentum balance equation, specific to this problem using control volume technique. 6 Marks b. Obtain the velocity and viscous stress as a function of x. Draw qualitative figures of velocity and viscous stress. 8 Marks c. Obtain average fluid velocity. 2 Marks W Fluid