4.3 Article

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

Journal

CONTINUUM MECHANICS AND THERMODYNAMICS
Volume 24, Issue 4-6, Pages 313-331

Publisher

SPRINGER
DOI: 10.1007/s00161-011-0200-2

Keywords

Extended thermodynamics; Gas mixtures; Heat transfer; Thermal diffusion

Funding

  1. GNFM-INdAM
  2. GNFM

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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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