Consider a liquid metal $($P r $<<1),$ with free stream conditions u$\backslash$infty and T$\backslash$infty $,$ in parallel flow over an

isothermal flat plate at Ts$.$ Assuming that u $=$ u$\backslash$infty 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 Nux.