Inverse boundary design radiation problem with radiative equilibrium in combustion enclosures with PSO algorithm

An inverse analysis is employed to estimate the unknown heat flux distribution over the heater surface of two dimensional enclosures with regular and irregular geometries filled by non-gray participating media, from the knowledge of desired temperature and heat flux distributions over the given design surface. The medium is in radiative equilibrium. The radiative transfer equation is solved by the modified discrete ordinates method combined with two models for simulation of non-gray media. The inverse solutions are compared by using two approaches; the conjugate gradient method (CGM) and the particle swarm optimization (PSO) algorithm. The PSO algorithm shows accurate and reliable results in regular geometry with high optical thickness.