21786 articles – 15600 references  [version française]

hal-00614568, version 1

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

Henri Gouin () 1

Utilization of the second gradient theory in continuum mechanics to study motions and thermodynamics of liquid-vapor interfaces (1987) 16

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.

  • 1:  Mécanique Modélisation et Procédés Propres (M2P2)
  • 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
  • Domain : 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
  • Keywords : van der Waals – second gradient – capillarity – surface tension – Marangoni effect
  • Internal note : 38
  • Comment : Revisited and completed version – 21 pages. ISBN-13: 9780306429057
 
  • 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