Invariance Properties of Inviscid Fluids of Grade n

Pierre Casal , Henri Gouin (1, 2)

1 LMMT - Laboratoire de Modélisation Mécanique et Thermodynamique, EA 2596
2 IUSTI - Institut universitaire des systèmes thermiques industriels

Fluids of grade n are continuous media in dynamic changes of phases avoiding the surfaces of discontinuity and representing the capillary layers in liquid-vapour interfaces. We recall the thermodynamic form of the equation of motion for inviscid fluids of grade n. First integrals and theorems of circulation are deduced. A general classification of flows is proposed.

Mots clés: complex fluids; Inviscid fluids; invariance properties of flows; classification of flows; complex fluids.

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

Pierre Casal, Henri Gouin. Invariance Properties of Inviscid Fluids of Grade n. Lecture Notes in Physics, 1989, 344, pp.85-98. ⟨10.1007/BFb0024930⟩. ⟨hal-00266215⟩