A slab of thickness 2L has a thermal conductivity of k and a uniform heat generation rate of Q. The slab is insulated on one side (x = 0) and maintained at a temperature T_s on the other side (x = 2L). Determine the temperature distribution in the slab.
The general heat conduction equation in one dimension is:
where k is the thermal conductivity, A is the cross-sectional area, and dT/dx is the temperature gradient.
q = -k * A * (dT/dx)