Question

7. A Newtonian fluid is flowing between two fixed plates as shown in the diagram below. The fluid has a kinematic viscosity of v= 1.51 *10-6 m²/s and density of 789kg/m³. The distance between the two plates is 0.5 m, and y = 0 at the center of the pipe. The velocity distribution for the flow is given by the equation below. Find the shear stress acting on the bottom wall (hint: use y = -h). [12 points]

Fig: 1

Fig: 2