Consider a liquid metal , with free stream conditions and , in parallel flow over an isothermal flat plate at . Assuming that throughout the thermal boundary layer, write the corresponding form of the boundary layer energy equation. Applying appropriate initial (x=0) and boundary conditions, solve this equation for the boundary layer temperature field, T(x, y). Use the result to obtain an expression for the local Nusselt number . Hint: This problem is analogous to one-dimensional heat transfer in a semi-infinite medium with a sudden change in surface temperature.