Secondary heat flow between confocal ellipses: an application of extended thermodynamics

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Date
2007-03-27MFO Scientific Program
Research in Pairs 2007Series
Oberwolfach Preprints;2007,11Author
Barbera, Elvira
Müller, Ingo
Metadata
Show full item recordOWP-2007-11
Abstract
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.