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Continuum Deductions from Molecular Hydrodynamics

Continuum Deductions from Molecular Hydrodynamics Since a fluid is composed of molecules, one always has the option of calculating its static or dynamic properties by computing the motion of these constituents. For most purposes such a procedure is very inefficient, because it provides detailed information at molecular length scales, which are far beneath the usual realm of interest for continuum fluid mechanics. There are, however, situations where the microscopic details of a fluid flow are interesting if not crucial. For example, fluids in microscopic geometries or under high stress may exhibit deviations from the continuum equations, and one may wish to calculate such effects from first principles. Alternatively, in some problems the boundary conditions to be applied to the Navier-Stokes equations are not fully established or are unsatisfactory, as in the presence of moving contact lines or at the edge of a porous 257 0066-41 89/95/0 1 1 5-0257$05.00 KOPLIK & BANAVAR medium. The usual way to address such issues is through laboratory experiment or statistical mechanical calculation, but these methods have their own limitations, and molecular simulation can provide alternative insights and results. Another relevant class of problems concerns the merger or breakup of fluid interfaces, as in the rupture and coalescence http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annual Review of Fluid Mechanics Annual Reviews

Continuum Deductions from Molecular Hydrodynamics

Koplik, J; Banavar, J R
Annual Review of Fluid Mechanics , Volume 27 (1) – Jan 1, 1995
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Publisher
Annual Reviews
Copyright
Copyright 1995 Annual Reviews. All rights reserved
Subject
Review Articles
ISSN
0066-4189
eISSN
1545-4479
DOI
10.1146/annurev.fl.27.010195.001353
Publisher site
See Article on Publisher Site

Abstract

Since a fluid is composed of molecules, one always has the option of calculating its static or dynamic properties by computing the motion of these constituents. For most purposes such a procedure is very inefficient, because it provides detailed information at molecular length scales, which are far beneath the usual realm of interest for continuum fluid mechanics. There are, however, situations where the microscopic details of a fluid flow are interesting if not crucial. For example, fluids in microscopic geometries or under high stress may exhibit deviations from the continuum equations, and one may wish to calculate such effects from first principles. Alternatively, in some problems the boundary conditions to be applied to the Navier-Stokes equations are not fully established or are unsatisfactory, as in the presence of moving contact lines or at the edge of a porous 257 0066-41 89/95/0 1 1 5-0257$05.00 KOPLIK & BANAVAR medium. The usual way to address such issues is through laboratory experiment or statistical mechanical calculation, but these methods have their own limitations, and molecular simulation can provide alternative insights and results. Another relevant class of problems concerns the merger or breakup of fluid interfaces, as in the rupture and coalescence

Journal

Annual Review of Fluid Mechanics – Annual Reviews

Published: Jan 1, 1995

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