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 q (W m 2 ) at the inner surface of the plate (a) Sketch and label, on T coordinates, the temperature distributions initial, steady state and at two intermediate times (b) Sketch the heat flux at the outer surface q x (L, t) as a function of time Plate Insulation ool x L

Question: 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

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 q: (W/m²) at the inner surface of the plate.

Plate Insulation ool x = L

(a) Sketch and label, on T_∞ coordinates, the temperature distributions: initial, steady-state and at two intermediate times.

(b) Sketch the heat flux at the outer surface q"_x(L, t) as a function of time.

Plate Insulation ool x = L

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