Help plz Water at 1 atm is enclosed by two cold infinite pla

Water at 1 atm is enclosed by two cold, \"infinite\" plates separated \"b\" meters one from another (Fig. 10.4-2). The bottom plate is stationary and the top plate is moving at a speed of v_b m/s on the z- direction. The temperature of both plates are kept constant at 20 degree C. The velocity profile is linear and is described by the following equation: v_z = x/b v_b As the top plate moves, friction among adjacent layers of the liquid (viscosity) produces heat. So, the temperature of water is higher than the temperature of the plates. Assuming that both plates are at the same temperature T_0, the expression for the temperature is expressed as T - T_0/T_0 = 1/2 mu v_b^2/kT_0 x/b(1 - x/b) Using the generalization of the Fourier Law, obtain the expression for the vector q.

Solution

Acc to foureis law states that heat is transfer from higher temp to low temp region