Isothermal interfacial zones are investigated starting from a local energy which can be considered as the sum of two terms: one corresponding to a medium with a uniform composition equal to the local one and a second one associated with the non-uniformity of the fluid. In an extended van der Waals theory, the volume internal energy is proposed with a gradient expansion depending not only on the gradient of density but also on the gradient of entropy. We obtain the equation of conservative motions for non-homogeneous fluids near its critical point. For such a medium, it is not possible to obtain shock waves. The waves are tangential to the interface and the wave celerity is expressed depending on thermodynamic conditions at the critical point.
@article{hal-00261497,
author = {Gouin, Henri},
title = {Thermocapillary fluid and adiabatic waves near the critical point},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00261497}
}
Gouin, Henri. Thermocapillary fluid and adiabatic waves near the critical point. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00261497/