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Secondary heat flow between confocal ellipses – an application of extended thermodynamics. (English) Zbl 1273.76019

Summary: Much as non-Newtonian fluids exhibit secondary flows in elliptic pipes, rarefied gases exhibit secondary heat flows between elliptical cylinders. The phenomenon may be called non-Fourierian, because it is not covered by Fourier’s law of heat conduction. The effect is demonstrated in the paper by exploiting the 13-moment theory of gases. Apart from secondary heat flows the theory predicts shear stresses balanced by gradients of the heat flux, and the need for a distinction of the kinetic and the thermodynamic temperature.

MSC:

76A05 Non-Newtonian fluids
80A20 Heat and mass transfer, heat flow (MSC2010)
80A17 Thermodynamics of continua
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References:

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