A thin slab of material is subjected to microwave radiation that causes volumetric heating to vary according to

where q_o has a constant value of 180 kW/m³ and the slab thickness, L, is 0.06 m. The thermal conductivity of the slab material is 0.6 W/m K.
The boundary at x = L is perfectly insulated, while the surface at x = 0 is maintained at a constant temperature of 320 K.

a. Determine an expression for T(x) in terms of X, L, k, q₀, and T₀.
b. Where in the slab will the maximum temperature occur?
c. What is the value of T_max?

Transcribed Image Text:

q(x) = q[1(x/L)]