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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| HAL: hal-00614568, version 1 |
| arXiv: 1108.2766 |
| Detailed view |  Export this paper |
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| Utilization of the second gradient theory in continuum mechanics to study motions and thermodynamics of liquid-vapor interfaces, Manuel G. Velarde (Ed.) (1987) 16 |
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| Utilization of the second gradient theory in continuum mechanics to study motions and thermodynamics of liquid-vapor interfaces |
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| Henri Gouin 1 |
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| (1987) |
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| 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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| 1: | Mécanique Modélisation et Procédés Propres (M2P2) |
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CNRS : UMR6181 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III – Ecole Centrale de Marseille |
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| Subject | : | Physics/Mechanics/Mechanics of the fluids Engineering Sciences/Mechanics/Fluids mechanics Physics/Condensed Matter/Soft Condensed Matter Physics/Mathematical Physics Mathematics/Mathematical Physics Physics/Physics/Chemical Physics |
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| van der Waals – second gradient – capillarity – surface tension – Marangoni effect |
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| hal-00614568, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00614568 | |
| oai:hal.archives-ouvertes.fr:hal-00614568 | |
| From: Henri Gouin | |
| Submitted on: Friday, 12 August 2011 12:52:39 | |
| Updated on: Saturday, 13 August 2011 08:53:07 | |
