Dynamical pressure for fluid mixtures with several temperatures

Henri Gouin (1) , Tommaso Ruggeri (2)

1 IUSTI - Institut universitaire des systèmes thermiques industriels
2 CIRAM - Department of Mathematics and Research Center of Applied Mathematics

We consider binary mixtures of fluids with components having different temperatures. A new dynamical pressure term is associated with the difference of temperatures between components even if fluid viscosities are null. The non-equilibrium dynamical pressure can be measured and may be convenient in several physical situations as for example in cosmological circumstances where a dynamical pressure played a major role in the evolution of the early universe.

Mots clés: Fluid mixtures; Multi-temperatures; Dynamical pressure; Hamilton's principle

Domaines: Mécanique des fluides [physics.class-ph]; Thermique [physics.class-ph]; Physique mathématique [math-ph]

Henri Gouin, Tommaso Ruggeri. Dynamical pressure for fluid mixtures with several temperatures. Mechanics & Industry, 2009, 10, pp.239-243. ⟨10.1051/meca/2009052⟩. ⟨hal-01216798⟩