2. The laminar velocity profile of a liquid layer of thickness H between two parallel plates moving in opposite directions with a constant velocity U (see figure) is given by, u(y) = U (2-1) H y X (a) Determine the viscous dissipation function. (b) Substitute the result into the energy equation with T = T(y) and no heat generation. (c) Solve the equation for the temperature profile if the boundary conditions are: (i) At y = 0, T=0 (ii) At y=H, T = To