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Journal of Non-Equilibrium Thermodynamics

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Volume 42, Issue 2


Extra Mass Flux in Fluid Mechanics

Peter Ván
  • Corresponding author
  • Department of Theoretical Physics, Wigner Research Centre for Physics, Institute for Particle and Nuclear Physics, Budapest, Hungary; Department of Energy Engineering, BME, Budapest, Hungary; Montavid Thermodynamic Research Group
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/ Michal Pavelka
  • Faculty of Mathematics and Physics, Mathematical Institute, Charles University in Prague, Sokolovska 83, 18675 Prague, Czech Republic; Department of Chemical Engineering, University of Chemistry and Technology Prague, Technicka 5, 16628 Prague 6, Czech Republic; École Polytechnique de Montréal, C.P. 6079 succ. Centre-ville, Montréal, H3C 3A7, Québec, Canada
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/ Miroslav Grmela
  • École Polytechnique de Montréal, C.P. 6079 succ. Centre-ville, Montréal, H3C 3A7, Québec, Canada
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Published Online: 2016-09-09 | DOI: https://doi.org/10.1515/jnet-2016-0058


The conditions of existence of extra mass flux in single-component dissipative nonrelativistic fluids are clarified. By considering Galilean invariance, we show that if total mass flux is equal to total momentum density, then mass, momentum, angular momentum and booster (center of mass) are conserved. However, these conservation laws may be fulfilled also by other means. We show an example of weakly nonlocal hydrodynamics where the conservation laws are satisfied as well although the total mass flux is different from momentum density.

Keywords: extra mass flux; fluid dynamics; nonlocality; Hamiltonian; Galilean invariance


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About the article

Received: 2016-07-08

Accepted: 2016-07-29

Published Online: 2016-09-09

Published in Print: 2017-04-01

This project was supported by Natural Sciences and Engineering Research Council of Canada (NSERC) and by the grants K104260, K116197 and K116375 of the Hungarian National Research Fund. The work was supported by Czech Science Foundation (project no. 14-18938S).

Citation Information: Journal of Non-Equilibrium Thermodynamics, Volume 42, Issue 2, Pages 133–151, ISSN (Online) 1437-4358, ISSN (Print) 0340-0204, DOI: https://doi.org/10.1515/jnet-2016-0058.

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