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arXiv : 0906.1897

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European Journal of Mechanics - B/Fluids 15, 4 (1996) 545-568

Nucleation of spherical shell-like interfaces by second gradient theory: numerical simulations

Francesco Dell'Isola 1, Henri Gouin 2, Giacomo Rotoli

(09/1996)

The theory of second gradient fluids (which are able to exert shear stresses also in equilibrium conditions) allows us: (i) to describe both the thermodynamical and the mechanical behavior of systems in which an interface is present; (ii) to express the surface tension and the radius of microscopic bubbles in terms of a functional of the chemical potential; (iii) to predict the existence of a (minimal) nucleation radius for bubbles. Moreover, the above theory supplies a 3D-continuum model which is endowed with sufficient structure to allow the construction of a 2D-shell-like continuum representing a consistent approximate 2D-model for the interface between phases. In this paper we use numerical simulations in the framework of second gradient theory to obtain explicit relationships for the surface quantities typical of 2D-models. In particular, for some of the most general two-parameter equations of state, it is possible to obtain the curves describing the relationship between the surface tension, the thickness, the surface mass density and the radius of the spherical interfaces between fluid phases of the same substance. These results allow us to predict the (minimal) nucleation radii for this class of equations of state.

1 :	Dipartimento di Ingegneria Strutturale e Geotecnica
	Universita di Roma "La Sapienza"
2 :	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

Domaine

:

Physique/Mécanique/Mécanique des fluides Physique/Matière Condensée/Matière Molle Physique/Physique/Chimie-Physique

Mots Clés : Continuum mechanics – Gas liquid interface – Particle size – Bubbles – Surface tension – Equilibrium – Theoretical study

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Contributeur : Henri Gouin <>

Soumis le : Mercredi 10 Juin 2009, 11:29:19

Dernière modification le : Mercredi 10 Juin 2009, 11:32:44