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- ItemSecondary heat flow between confocal ellipses : an application of extended thermodynamics(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2007) Barbera, Elvira; Müller, IngoMuch 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.