1. Show that the temperature variation for heat conduction through a cylindrical wall having uniform k is logarithmic. 2. Show that the maximum temperature in a cylindrical rod with heat generation q...

1. Show that the temperature variation for heat conduction through a cylindrical wall having uniform k is logarithmic.

2. Show that the maximum temperature in a cylindrical rod with heat generation q_G
(kW/ m³) is given by

where h_c
is the convection heat transfer coefficient and
 is the ambient temperature.