Journal
MECCANICA
Volume 47, Issue 3, Pages 655-666Publisher
SPRINGER
DOI: 10.1007/s11012-011-9474-5
Keywords
Extended thermodynamics; Inert multi-component gas mixtures; Heat transfer; Thermal diffusion
Categories
Funding
- GNFM-INdAM
- GNFM
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In this paper we analyze a heat transfer problem in multi-component mixtures of inert gases at rest, confined between two infinite parallel plates. We refer to a system of field equations from extended thermodynamics to describe the phenomenon and we derive the non-controllable boundary conditions trough a fluctuation principle. Analytical calculations suggest that the temperature exhibits the classical Fourier solution combined with boundary layers. Furthermore, in accordance with the expectation, non-constant mass concentrations are predicted. Their behavior depends on the gradient of the temperature field and on the ratios of the molecular masses of the mixture constituents.
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