Chapter 4, Problem 4.62P

A steady-state, finite-difference analysis has been performed on a cylindrical tin with a diameter of 12 mm and a thermal conductivity of $15\text{W/m}\cdot \text{K}\text{.}$ The convection process is characterized by a fluid temperature of 25°C and a heat transfer coefficient of $25{\text{W/m}}^{\text{2}}\cdot \text{K}\text{.}$

1. The temperatures for the first three nodes, separated by a spatial increment of $x=10\text{mm,}$ are given in the sketch. Determine the fin heat rate.
2. Determine the temperature at node $3,T_3.$