Consider the conditions associated with Problem 2.48, but now with a convection process for which Too < To.

(a) On T - x coordinates, sketch the temperature distributions for the following conditions: initial condition (t < 5 0), steady-state condition (t → ∞), and for two intermediate times. Identify key features of the distributions, especially the location of the maximum temperature and the temperature gradient at x = L.

(b) On q" - t coordinates, sketch the heat flux for the locations x = 0 and x = L, that is, q_x (0, t) and

q_x (L, t), respectively. Identify key features of the flux histories.