Chapter 2, Problem 2.61P

Consider the conditions associated with Problem 2.60, but now with a convection process for which $T_{\infty }<T_o.$

1. On $T-x$ coordinates, sketch the temperature distributions for the following conditions: initial condition $\left(t\le 0\right),$ steady-state condition $\left(t\to \infty \right),$ and for two intermediate times. Identify key features of the distributions, especially the location of the maximum temperature and the temperature gradient at $x=L.$
2. On $q_x^{"}-t$ coordinates, sketch the heat flux for the locations $x=0$ and $x=L,$ that is, $q_x^{"}\left(0,t\right)$ and $q_x^{"}\left(L,t\right),$ respectively. Identify key features of the flux histories.