Utilization of the second gradient theory in continuum mechanics to study motions and thermodynamics of liquid-vapor interfaces

Henri Gouin (1)

1 IUSTI - Institut universitaire des systèmes thermiques industriels

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.

Mots clés: van der Waals; second gradient; capillarity; surface tension; Marangoni effect

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Matière Molle [cond-mat.soft]; Physique mathématique [math-ph]; Physique mathématique [math-ph]; Chimie-Physique [physics.chem-ph]

Henri Gouin. Utilization of the second gradient theory in continuum mechanics to study motions and thermodynamics of liquid-vapor interfaces. Manuel G. Velarde. Plenum Publishing Corporation, pp.16, 1987, Physicochemical Hydrodynamics, Series B - Physics, Vol 174, Interfacial Phenomena. ⟨hal-00614568⟩