QI ts) The steady flow of an incompressible non-Newtonian Bingham plastic fluids between two parallel plates extending to infinity in x-and z-directions, as shown in Fig.1 will now be considered. The mid-plane between the plates will be taken as the origin with the flow domain extending from y=-b to y=+b., the pressure gradient causes the flow of Bingham fluid. Determine the following: a. Derive an expression for the resulting velocity profile vz as a function pressure gradient (AP/L), b, Ho, and sketch velocity profile as free hand. b. Derive an expression for the maximum velocity occur and for the volumetric flow rate (Q). Hint: Bingham model is given as:Tyz = -Ho duz to if Tyz dvz dy = = 0 if |yz|< To dy to Fig.1 y=b P B D A P+Ap