The Optimal Number and Location of Discrete Radiant Heaters in Enclosures with the Participating Media Using the Micro Genetic Algorithm

Abstract

A methodology for solving inverse radiation heat transfer problems when design variables are discrete is presented. An optimization method is used to find the best number and location of discrete equal power heaters to produce the desired temperature and heat flux distribution over the design surface of radiant enclosures. The medium is assumed to be absorbing, emitting, and scattering. Isothermal and radiative equilibrium media are considered. The modified discrete ordinates method, that mitigates ray effects caused by discontinuities or abrupt changes of wall temperature, is employed to solve the radiative transfer equation. The micro genetic algorithm is used to minimize objective function.

Acknowledgments

The financial support of this work by the “International Center for Science, High Technology & Environmental Sciences”, Kerman, Iran, is gratefully acknowledged.