HW5.4 Determine the temperatures at all nodes on a square plate (15 cm x 15 cm) of thickness 1cm. Thermal conductivity of the plate is k = 210 W/m-K. The left surface of the plate is heated with a flash lamp of 500 W, while the right surface of the plate is cooled by convection (h = 200 W/m²-K) into the ambient air at 23°C. The other two sides of the plate are kept at constant temperatures, 100°C (bottom) and 200°C (top), respectively. 9=500 W 200°C Ar=Ay=5 cm T=23°C h = 200 W/m²-K 100°C Ans: T₁ =193.5°C, T₂ = 176.34°C, T3 = 160.2°C, T4 = 143.15°C, T5 = 204.15°C, T6 =237.47°C, T7 = 168.72°C, T8 = 136.06°C.