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Diffuse-Interface methods in fluid mechanics

Diffuse-Interface methods in fluid mechanics
Diffuse-Interface methods in fluid mechanics
We review the development of diffuse-interface models of hydrodynamics and their application to a wide variety of interfacial phenomena. These models have been applied successfully to situations in which the physical phenomena of interest have a length scale commensurate with the thickness of the interfacial region (e.g. near-critical interfacial phenomena or small-scale flows such as those occurring near contact lines) and fluid flows involving large interface deformations and/or topological changes (e.g. breakup and coalescence events associated with fluid jets, droplets, and large-deformation waves). We discuss the issues involved in formulating diffuse-interface models for single-component and binary fluids. Recent applications and computations using these models are discussed in each case. Further, we address issues including sharp-interface analyses that relate these models to the classical free-boundary problem, computational approaches to describe interfacial phenomena, and models of fully miscible fluids.
0066-4189
139-165
Anderson, D.M.
8d7064b5-f7cd-4e54-9163-51892a9a272c
McFadden, G.B.
56b0d29e-1cfb-4775-96d1-d32d50ea08d2
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Anderson, D.M.
8d7064b5-f7cd-4e54-9163-51892a9a272c
McFadden, G.B.
56b0d29e-1cfb-4775-96d1-d32d50ea08d2
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73

Anderson, D.M., McFadden, G.B. and Wheeler, A.A. (1998) Diffuse-Interface methods in fluid mechanics. Annual Review of Fluid Mechanics, 30, 139-165. (doi:10.1146/annurev.fluid.30.1.139).

Record type: Article

Abstract

We review the development of diffuse-interface models of hydrodynamics and their application to a wide variety of interfacial phenomena. These models have been applied successfully to situations in which the physical phenomena of interest have a length scale commensurate with the thickness of the interfacial region (e.g. near-critical interfacial phenomena or small-scale flows such as those occurring near contact lines) and fluid flows involving large interface deformations and/or topological changes (e.g. breakup and coalescence events associated with fluid jets, droplets, and large-deformation waves). We discuss the issues involved in formulating diffuse-interface models for single-component and binary fluids. Recent applications and computations using these models are discussed in each case. Further, we address issues including sharp-interface analyses that relate these models to the classical free-boundary problem, computational approaches to describe interfacial phenomena, and models of fully miscible fluids.

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Published date: 1998

Identifiers

Local EPrints ID: 29096
URI: http://eprints.soton.ac.uk/id/eprint/29096
ISSN: 0066-4189
PURE UUID: 22645d48-d367-4a02-b7fd-240efb57082a

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Date deposited: 10 Jan 2007
Last modified: 15 Mar 2024 07:28

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Contributors

Author: D.M. Anderson
Author: G.B. McFadden
Author: A.A. Wheeler

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