Abstract
In contexts such as space travel, thermal radiation is the primary mode of heat transfer. The Stefan-Boltzmann law gives rise to a boundary flux which is quartic in temperature, and this nonlinearity renders even the simplest of conduction-radiation problems analytically insur-mountable in more than one dimension. An unconventional approach known as boundary tracing allows for analytical inroads into flux boundary value problems that would otherwise require numer-ical study. In this paper, the method of boundary tracing is used to generate near-exact results for an infinite family of conduction-radiation domains representing radiating fins; realistic lengths and temperatures can be realized.