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Frame dependence, entropy, entropy flux, and wave speeds in mixtures of gases

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Summary

The kinetic theory provides constitutive equations of ideal gases and it can therefore be used to confirm or reject the axioms and principles of the phenomenological constitutive theory. Thus the kinetic theory provides a limit for the validity of the principle of material frame indifference. It generalizes the laws of Fick, Fourier and Navier-Stokes and provides finite speeds of waves of concentration, temperature and shear. Moreover the theory permits the calculation of entropy and entropy flux in non-equilibrium and it confirms Onsager relations in a rotating mixture of ideal gases.

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Heckl, M., Müller, I. Frame dependence, entropy, entropy flux, and wave speeds in mixtures of gases. Acta Mechanica 50, 71–95 (1983). https://doi.org/10.1007/BF01170442

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