A steady, fully developed, incompressible flow is imposed on a thin layer of fluid between two parallel, infinite plates by the two plates moving in opposite directions with velocities V1 and v2.
1. Calculate the temperature distribution in the fluid, assuming that both walls are kept at a constant temperature T0.
2. What would happen is the plates were perfectly insulated so that instead of keeping at a constant temperature, they held the heat flux to zero? Could you still maintain the assumption that the temperature is fully developed?
3. Determine forces and heat fluxes at the two plates. Use control volume analysis to analyze how the heat fluxes and work done on the fluid influence the energy balance.