Physics – Fluid Dynamics
Scientific paper
2011-08-13
Utilization of the second gradient theory in continuum mechanics to study motions and thermodynamics of liquid-vapor interface
Physics
Fluid Dynamics
Revisited and completed version; 21 pages. ISBN-13: 9780306429057
Scientific paper
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.
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