| The possibility of dissipative contributions to the mass flux is considered in detail. A general thermodynamically consistent framework is developed to obtain such terms, the compatibility of which with general principles is then checked-including Galilean invariance, the possibility of steady rigid rotation and uniform center-of-mass motion, the existence of a locally conserved angular momentum, and material objectivity. All previously discussed scenarios of dissipative mass fluxes are found to be ruled out by some combinations of these principles but not a new one that includes a smoothed velocity field v. However, this field v is nonlocal and leads to unacceptable consequences in specific situations. Hence, we can state with confidence that a dissipative contribution to the mass flux is not possible.
for LaTeX users @article{HC\"Ottinger2009-80,
author = {H. C. \"Ottinger and H. Struchtrup and M. Liu},
title = {Inconsistency of a dissipative contribution to the mass flux in hydrodynamics},
journal = {Phys. Rev. E},
volume = {80},
pages = {056303},
year = {2009}
}
\bibitem{HC\"Ottinger2009-80} H.C. \"Ottinger, H. Struchtrup, M. Liu,
Inconsistency of a dissipative contribution to the mass flux in hydrodynamics,
Phys. Rev. E {\bf 80} (2009) 056303.HC\"Ottinger2009-80
H.C. \"Ottinger, H. Struchtrup, M. Liu
Inconsistency of a dissipative contribution to the mass flux in hydrodynamics
Phys. Rev. E,80,2009,056303 |
mk@mat.ethz.ch
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