Cooling water at $8$C flows at $5$ m$/$s over an electrical device in the shape of a flat plate measuring $0\mathrm{.}28$ m $($flow direction$)0\mathrm{.}60$ m $($wide$).$ The surface temperature is $40$C$.$ Except for convection to the water, other heat transfer routes are negligible. Find: $$ Total heat transfer rate $$ Heat flux $30$ mm downstream of leading edge $$ Average heat flux over whole plate $$ Heat transfer rate and average flux over most downstream $30$ mm