Thermodynamic form of the equation of motion for perfect fluids of grade n

Henri Gouin (1)

1 IUSTI - Institut universitaire des systèmes thermiques industriels

We propose a thermodynamic form of the equation of motion for perfect fluids of grade n which generalizes the one given by J. Serrin in the case of perfectly compressible fluids. First integrals and circulation theorems are deduced and a classification of the flows is given.

Mots clés: Conservative fluid motions; Thermodynamics; Fluids of grade n

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

Henri Gouin. Thermodynamic form of the equation of motion for perfect fluids of grade n. Comptes Rendus de l'Academie des Sciences Serie II, 1987, 305 (II), pp.833-838. ⟨hal-00488912⟩