Compressible Fluids: the discontinuity of the vorticity vector on a shock wave in thermodynamical variables.

Henri Gouin (1, 2)

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

The discontinuity of the vorticity is written as a function of the vector T grad s, (where T is the temperature and s the specific entropy). The expression is obtained thanks to potential equations and independently of the mass conservation and the equation of momentum balance.

Mots clés: vorticity vector; Instationary perfect fluids; shock waves; vorticity vector.

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

Henri Gouin. Compressible Fluids: the discontinuity of the vorticity vector on a shock wave in thermodynamical variables.. Comptes rendus hebdomadaires des séances de l'Académie des sciences, 1973, 276 (Serie A), pp.1377-1380. ⟨hal-00276736⟩