Consider the base plate of a 800 W household iron having a thickness of L = 0.6 cm, base area of A = 160 cm², and thermal conductivity of k = 20 W/m · K. The inner surface of the base plate is subjected to uniform heat flux generated by the resistance heaters inside. When steady operating conditions are reached, the outer surface temperature of the plate is measured to be 85°C. Disregarding any heat loss through the upper part of the iron and taking the nodal spacing to be 0.2 cm,

(a) Obtain the finite difference formulation for the nodes

(b) Determine the inner surface temperature of the plate by solving those equations.

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Insulation 00000 Resistance heater, 800 W Base plate Ax = 0.2 cm 0 160 cm² 2 3 85°C X