In this paper, we describe the stationary heat transfer problem in non-reacting gas mixtures confined between two coaxial cylinders or two concentric spheres kept at different temperatures. For the description of this phenomenon, we refer to the extended thermodynamics 13-moments single temperature system and we compare its predictions with those obtained by the classical Navier-Stokes-Fourier-Fick approximations. In contrast with the classical theory, we show that extended thermodynamics takes over also thermodiffusion effects, predicts boundary layers for the common temperature and non-vanishing stress tensors. Furthermore, we compare the results with those already obtained in the planar case, in order to point out the effects of the radial dependence.

An extended thermodynamics description of stationary heat transfer in binary gas mixtures confined in radial symmetric bounded domains

BARBERA, Elvira;
2012

Abstract

In this paper, we describe the stationary heat transfer problem in non-reacting gas mixtures confined between two coaxial cylinders or two concentric spheres kept at different temperatures. For the description of this phenomenon, we refer to the extended thermodynamics 13-moments single temperature system and we compare its predictions with those obtained by the classical Navier-Stokes-Fourier-Fick approximations. In contrast with the classical theory, we show that extended thermodynamics takes over also thermodiffusion effects, predicts boundary layers for the common temperature and non-vanishing stress tensors. Furthermore, we compare the results with those already obtained in the planar case, in order to point out the effects of the radial dependence.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/2390621
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