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

Henri Gouin

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arXiv · 1108.2766

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

Henri Gouin

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Abstract

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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Henri Gouin. 2011-08-13. Utilization of the second gradient theory in continuum mechanics to study motions and thermodynamics of liquid-vapor interfaces. https://arxiv.org/abs/1108.2766

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