Abstract

A new mathematical approach to heat transfer with freezing and natural convection over a flat geometric domain with two plane parallel cooling faces was discussed. An intuitive solution was developed by introducing a supplementary thermal convective flux at the solid–liquid boundary. On this basis, the freezing front rate was calculated by applying the perturbation method. The calculated data were in satisfactory agreement with the ones obtained experimentally in a parallelepipedic TES unit with a low melting PCM, i.e. maleic anhydride of T f=52°C.

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