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1 Journal of Technical Physics

1 2004

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Effect of surface emissivity on reduction in thermal conductivity in a view of simple analytical model and radiative transfer equation

Koniorczyk P., Zmywaczyk J., Kowalski M.

Journal of Technical Physics

2004

Vol. 45, no 3

183-193

The problem of modelling a 'thickness effect curve' in semitransparent media, using a simple analytical model based on division of the thermal conductivity thickness dependence k(z) (for a sample thickness l) into three regions of different widths, is presented in this paper. The limiting value of the sample thickness liim is comparable (in our opinion) with the mean free path of a photon and corresponds to its initial, region of thermal conductivity expressed as an exponential function of the absorption coefficient k and sample thickness l. To validate the proposed method, the results of analytical solution have been compared with the exact solution of the 1-D model of coupled radiation and conduction heat transfer in an emitting and absorbing medium.