Abstract
The nonlinear heat conduction equations including the influence of internal heat generation are studied. They are applicable to thermally isotropic and anisotropic media having thermal properties that depend on temperature. These equations can be converted to linear equations by means of algebraic transformations when the thermal properties of the media are power functions of temperature. The power functions describing the variation of thermal conductivity with temperature for thirteen thermally isotropic materials and one typical thermally anisotropic material are tabulated. The algebraic transformations are employed to determine the temperature field and the heat transfer from radiating fins in thermally isotropic media and from two-dimensional convecting fins in thermally isotropic and anisotropic media.
Campó, Antonio (1970). On the analytical solution of the nonlinear heat conduction equation. Doctoral dissertation, Texas A&M University. Texas A&M University. Libraries. Available electronically from
https : / /hdl .handle .net /1969 .1 /DISSERTATIONS -176870.