In the previous chapter, we studied one-dimensional, steady state heat conduction for a few simple geometries. In those cases, there was no internal heat generation in the medium, i.e. the term qg appearing in the general differential equation was zero. So, the temperature distribution was determined purely by the boundary conditions. However, there are many practical cases where there is energy generation within the system and we would be interested to find out the temperature distribution within the body and the heat flux at any location, in such cases.
Examples of situations with internal heat generation are: