Modeling thermal effects in the time domain

Modeling thermal transfer from fluid to a solid surface is well understood. However, the mathematical description of this behavior includes transcendental functions in the frequency domain. This precludes some kinds of modeling in the time domain. In some simple geometries, however, it has been shown that a continued fraction expansion of the transcendental functions is possible that allows for a finite bandwidth solution in the time domain. This paper will explore the use of these methods for time domain modeling of thermal-acoustic systems.