Heat Transfer Enhancement Feature of the Non-Fourier Cattaneo–Christov Heat Flux Model

Cattaneo–Christov heat flux model was proposed to remedy the weakness of the traditional Fourier heat flux model to maintain the finite travel time of heat. The literature is replete with numerical studies to understand the heat transfer enhancement property. The present effort is to provide a mathematical rigor and to analytically demonstrate why the new model should act toward cooling and thus, in the way of enhancing the heat transfer rate from the surfaces. The derived and presented formulae here prove this assertion through comparison with a few selected examples from the open literature.