A stainless steel plate size \(2 \mathrm{~cm} \times 1 \mathrm{~cm}\) is surrounded by an insulating block as shown in Figure 6.14 and is initially at a uniform temperature of \(40^{\circ} \mathrm{C}\) with a convection environment at \(40^{\circ} \mathrm{C}\). The top side of the plate is suddenly exposed to a radiant flux of \(15 \mathrm{~kW} / \mathrm{m}^{2}\). Calculate the temperature at the center of the top surface and bottom surface after \(10 \mathrm{~s}\). Take the properties of the stainless steel as \(k=18 \mathrm{~W} / \mathrm{mK}, p=8000 \mathrm{~kg} / \mathrm{m}^{3}, C_{p}=\) \(0.46 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C}\), and \(\mathrm{h}=30 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\).

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Icm 9 rad h. Ta 2 cm