Question
2) In class, I showed an approximate (integral approach) solution to a ID semi-infinite problem (with no heat generation) where the left wall was elevated to temperature To above the initial temperature T; for mathematical simplicity let T-0. Using only dimensional analysis (e.g., the Buckingham л theorem), the governing heat transfer equation, and the boundary conditions derive the exact temperature distribution as a function of x and 1 for this problem.
Question image 1