Abstract
An optimization technique is performed to obtain the unknown heat source distribution to produce the known temperature and heat flux distribution over the design surface. The medium is considered as nongray, absorber, emitter, and nonscatter in radiative equilibrium. The discrete ordinates method in combination with the spectral line-based weighted sum of gray gases approach is used for solving the radiative transfer equation. The inverse problem involves the minimization of an appropriate objective function, which is minimized by the conjugate gradient method. The objective function is defined as the square residuals between the desired and estimated heat flux distribution over the design surface. Some examples are presented to prove the ability of the approach for achieving the desired thermal conditions.
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