Heat transfer in multi-component gas mixtures described by extended thermodynamics. (English) Zbl 1293.76146
Summary: 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.
MSC:
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
Keywords:
extended thermodynamics; inert multi-component gas mixtures; heat transfer; thermal diffusionReferences:
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