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.

Heat transfer in multi-component gas mixtures described by extended thermodynamics

BARBERA, Elvira;
2012

Abstract

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/1941837
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