Consider a thin electrical heater attached to a plate and backed by insulation. Initially, the heater and plate are at the temperature of the ambient air, T∞. Suddenly, the power to the heater is activated, yielding a constant heat flux at the inner surface of the plate.
(a) Sketch and label, on T – x coordinates, the temperature distributions: initial, steady-state, and at two intermediate times.
(b) Sketch the heat flux at the outer surface as a function of time.
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