Abstract

The classical Planck's law of thermal radiation is rewritten in order to provide a more adequated mathematical description for the coupling between the conduction and the radiation heat transfer on body boundaries. This alternative version of Planck's law allow to work with an unconstrained (absolute) temperature field while simulating a heat transfer process, without any change in the physical meaning of the law. This modified version of Planck's law is, in fact, an artificial mathematical extension that allows to carry out a simulation without imposing, a priori, the nonnegativeness of the temperature field. An approximation for the integral of the monochromatic emissive power of the black-body radiation, over any wavelength interval, is presented too

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