Chapter 2, Problem 164P

Consider a medium in which the heat conduction equation is given in its simplest forms as $\frac{1}{r^2}\frac{\partial }{\partial r}\left(r^2\frac{\partial T}{\partial r}\right)=\frac{1}{\alpha }\frac{\partial T}{\partial t}$

Is heat transfer steady or transient?

Is heat transfer one-. two-, or thee-dimensional?

Is there heat generation in the medium?

Is the thermal conductivity of the medium constant or variable?

Is the medium a plane wall, a cylinder, or a sphere?

Is this differential equation for heat conduction linear or nonlinear?