A three-dimensional forced-convection optimal heating algorithm in determining the strength of the unknown optimal surface heating functions utilizing the conjugate gradient method and a general purpose commercial code CFX4.2 is applied successfully in the present study based on the desired surface temperature distributions at the final time of heating. Results obtained by using the conjugate gradient method to solve this three-dimensional optimal heating problem are justified based on the numerical experiments. Two different computational domains and two different desired temperature distributions are given, and the corresponding optimal heating functions are to be determined. Results show that the optimal heating functions can always be obtained with any arbitrary initial guesses of the boundary fluxes.
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