A phase field model of capillarity
- 1 April 1995
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 7 (4) , 747-753
- https://doi.org/10.1063/1.868598
Abstract
The phenomenological derivation of a phase field model of capillarity that accounts for the structure of an interfacial layer formed by two immiscible incompressible liquids is addressed. A rheological expression for the reversible component of capillary stresses is obtained in terms of the free energy of a binary fluid, which depends on the absolute temperature, composition, and gradient of composition. This model can be applied to those flows that involve change of topology of a capillary interface, such as coalescence and breakup of drops. As an illustration, an equilibrium of a binary fluid with either a flat or spherical interfacial layer is analyzed, and a thermocapillary flow in an infinite gap is considered.Keywords
This publication has 28 references indexed in Scilit:
- A theory of coalescencePublished by Elsevier ,2001
- Molecular Structure of the Coalescence of Liquid InterfacesScience, 1992
- Surface-tension-induced mixing following coalescence of initially stationary dropsPhysics of Fluids A: Fluid Dynamics, 1991
- Two-dimensional cusped interfacesJournal of Fluid Mechanics, 1991
- Surface-tension effects in the contact of liquid surfacesJournal of Fluid Mechanics, 1989
- The influence of surface tension on the diffusion-controlled growth or dissolution of spherical gas bubblesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1988
- Deformation and breakup of a single slender drop in an extensional flowJournal of Fluid Mechanics, 1978
- Film flow and coalescence-I Basic relations, film shape and criteria for interface mobilityChemical Engineering Science, 1968
- Particle motions in sheared suspensions XII. Deformation and burst of fluid drops in shear and hyperbolic flowJournal of Colloid Science, 1961
- The formation of emulsions in definable fields of flowProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1934