Inconsistency of a dissipative contribution to the mass flux in hydrodynamics.
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[over ] . However, this field v[over ] 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.
Ottinger
Hans Christian
HC
Department of Materials, ETH Zürich, HCI H 543, CH-8093 Zürich, Switzerland.
Struchtrup
Henning
H
Liu
Mario
M
D000465:Algorithms; D005583:Fourier Analysis; D007700:Kinetics; D015233:Models, Statistical; D009068:Movement; D010825:Physics / Q000379:methods*; D012212:Rheology; D013816:Thermodynamics