Question
Consider the base plate of a 1000W household iron with a thickness of L=0.6cm, a base area of A=160cm^2, and thermal conductivity of k=20W/m.C. The
- Consider the base plate of a 1000W household iron with a thickness of L=0.6cm, a base area of A=160cm^2, and thermal conductivity of k=20W/m.C. The interior surface of the base plate is subjected to a uniform flow of heat generated by the resistance heaters inside. When steady operating conditions are reached, the outer surface temperature of the plate is 85C. Disregarding any heat loss through the top of the plate,
- a) draw a diagram of the system and express the differential equation and boundary conditions for one-dimensional steady-state heat conduction through the plate,
- b) describe the boundary conditions of the system,
- c) obtain a relation for the variation of the temperature in the base plate, solving the differential equation, evaluate the temperature of the inner surface,
- d) determine the rate of heat transfer and the flow of heat through it.
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