1. How can a three-dimensional heat conduction problem be solved? 2. Explain the electrical analogy method of solving heat con duction problems. 3. A plane wall of width L has a constant thermal...

1. How can a three-dimensional heat conduction problem be solved?

2. Explain the electrical analogy method of solving heat con duction problems.

3. A plane wall of width L has a constant thermal conductivity k. The surface temperatures are T1 at x = 0 and T₂
at x = L. The heat generated per unit volume in the wall varies according to the expression q_G
= bx². Determine (a) the steady temperature distribution, (b) the location of the plane of maximum temperature and (c) the heat flux leaving the wall at the surface x = L.