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Utilization of the Second Gradient Theory in Continuum Mechanics to Study the Motion and Thermodynamics of Liquid-Vapor Interfaces

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Physicochemical Hydrodynamics

Part of the book series: NATO ASI Series ((NSSB,volume 174))

Abstract

A thermomechanical model of continuous media based on second gradient theory has been used to study the motions in liquid-vapor interfaces. In the equilibrium state this model is shown to be fundamentally equivalent to molecular theories. Conservative motions in such fluids verify the first integrals that provide Kelvin’s circulation theorems and potential equations. The dynamic surface tension of a liquid-vapor interface has been deduced from equations written with a viscosity factor. The result provides and explains the Marangoni effect.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Mechanics, University of Aix-Marseille, Rue Henri Poincaré, 13397, Marseille Cedex 13, France

    Henri Gouin

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  1. Henri Gouin
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Editor information

Editors and Affiliations

  1. U.N.E.D., Madrid, Spain

    Manuel G. Velarde

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© 1988 Plenum Press, New York

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Gouin, H. (1988). Utilization of the Second Gradient Theory in Continuum Mechanics to Study the Motion and Thermodynamics of Liquid-Vapor Interfaces. In: Velarde, M.G. (eds) Physicochemical Hydrodynamics. NATO ASI Series, vol 174. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0707-5_47

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  • DOI: https://doi.org/10.1007/978-1-4613-0707-5_47

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8042-2

  • Online ISBN: 978-1-4613-0707-5

  • eBook Packages: Springer Book Archive

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