(40 points) Consider flow of a liquid layer with thickness B down a vertical flat plate of length L and width W. This vertical flat plate heats up fluid at heat flux $q_1$ and moves with velocity $V_1$ in the flow direction. The flow is Newtonian, steady state, fully developed and laminar. The liquid enters vertical plate at temperature $T_1$ and exchange heat with surrounding air at temperature $T_0$ with heat transfer coefficient $h_0$. The liquid is incompressible with constant conductivity, heat capacity, density and viscosity.
a) Write momentum and energy balance equations and boundary conditions.
b) Find an expression for velocity distribution in flow direction and average and maximum velocity.
