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07 February 2025
 
  » arxiv » 1508.0121

 Article overview



Galilean relativistic fluid mechanics
Péter Ván ;
Date 1 Aug 2015
AbstractSingle component Galilean-relativistic (nonrelativistic) fluids are treated independently of reference frames. The basic fields are given, their balances, thermodynamic relations and the entropy production is calculated.
The usual relative basic fields, the mass, momentum and energy densities, the diffusion current density, the pressure tensor and the heat flux are the time- and spacelike components of the third order mass-momentum-energy density tensor according to a velocity field. The transformation rules of the basic fields are derived and prove that the non-equilibrium thermodynamic background theory, that is the Gibbs relation, extensivity condition and the entropy production is absolute, that is independent of the reference frame and also of the fluid velocity.
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Az egykomponensu Galilei-relativisztikus (azaz nemrelativisztikus) disszipativ folyadekokat vonatkoztatasi rendszertol fuggetlenul targyaljuk. Megadjuk az alapmennyisegeket, ezek merlegeit, a termodinamikai osszefuggeseket es kiszamoljuk az entropiaprodukciot.
A szokasos relativ alapmennyisegek, tomeg, lendulet, energia, hoaram, nyomastenzor es diffuzios aramsuruseg a harmadrendu tomeg-lendulet-energia tenzornak egy sebessegmezo szerinti ido- es terszeru komponensei. Levezetjuk az alapmennyisegek es merlegek transzformacios szabalyait es bebizonyitjuk, hogy a nemegyensulyi termodinamikai keretelmelet, azaz a Gibbs-relacio, az extenzivitasi feltetel es az entropiaprodukcio is abszolut, azaz fuggetlen a vonatkoztatasi rendszertol es a folyadek sebessegetol.
(arXiv egyelore nem tud ekezeteket a kivonatban.)
Source arXiv, 1508.0121
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