A thermomechanical model of continuous fluid media based on second gradient theory is used to study motions in liquid-vapor interfaces. At equilibrium, the model is shown to be equivalent to mean-field molecular theories of capillarity. In such fluids, conservative motions verify first integrals that lead to Kelvin circulation theorems and potential equations. The dynamical surface tension of liquid-vapor interfaces is deduced from viscous fluid equations. The result provides and explains the Marangoni effect.
Publié le : 1987-07-05
Classification:
surface tension,
Marangoni effect,
van der Waals,
second gradient,
capillarity,
47.55.pf; 47.61.-k; 64.60.Bd; 64.60.Ht; 68.03.Cd; 68.03.Hj; 68.05.-n; 68.35.Gy; 76A02; 76A20; 76B45,
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph],
[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph],
[PHYS.COND.CM-SCM]Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft],
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[PHYS.PHYS.PHYS-CHEM-PH]Physics [physics]/Physics [physics]/Chemical Physics [physics.chem-ph]
@article{hal-00614568,
author = {Gouin, Henri},
title = {Utilization of the second gradient theory in continuum mechanics to study motions and thermodynamics of liquid-vapor interfaces},
journal = {HAL},
volume = {1987},
number = {0},
year = {1987},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00614568}
}
Gouin, Henri. Utilization of the second gradient theory in continuum mechanics to study motions and thermodynamics of liquid-vapor interfaces. HAL, Tome 1987 (1987) no. 0, . http://gdmltest.u-ga.fr/item/hal-00614568/