Inconsistency of a dissipative contribution to the mass flux in hydrodynamics

Details Inconsistency of a dissipative contribution to the mass flux in hydrodynamics Inconsistency of a dissipative contribution to the mass flux in hydrodynamics

2009-10-11

arxiv.org/abs/0910.2046v1

Phys. Rev. E 80, 056303 (2009)

Physics

Fluid Dynamics

18 pages; submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.80.056303

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-bar. However, this field v-bar 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.

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