A long, thin metal plate is hung vertically after a heat treating process. The plate, of width \(W=0.2 \mathrm{~m}\), vertical dimension of \(3 \mathrm{~m}\), and an initial temperature of \(T_{s}=320^{\circ} \mathrm{C}\), is cooled by atmospheric air of velocity \(V=4 \mathrm{~m} / \mathrm{s}\) and \(T_{\infty}=30^{\circ} \mathrm{C}\). Determine the initial rate of heat loss from the plate if the air is in parallel flow over the plate. Account for heat loss from both surfaces of the thin plate. Determine the initial rate of heat loss if the plate is turned so that its width is perpendicular to the air flow. Account for heat loss from both the front surface and the back surface of the plate. Which orientation will maximize the cooling rate?