Numerical Simulation of Fins in a High Temperature Context

Abstract

The present work shows the influence of the mutual heat transfer on the effectiveness of finned surfaces. Numerical simulations are carried out through a sequence of linear problems, possessing an equivalent minimum principle, that has as its limit the solution of the original problem. The presented tools allow the employment of realistic hypotheses. The problems are simulated with the aid of a finite difference approximation. This work accounts for the the steady state heat transfer process in rigid fins which experiences convective and radiative heat exchange. Some typical results are shown in order to illustrate the methodology. Results indicate that mutual radiation can significantly impact the actual heat transfer response of a fin.