The importance of being thin

The importance of being thin This article outlines a family of approximations for solutions to the incompressible Navier–Stokes equations valid for flow domains that have one small dimension. The approach is applicable to two- or three-dimensional systems, steady or unsteady flows, viscous or inviscid fluids, high or low Reynolds numbers, and internal or external domains. Among the methods in this class are lubrication theories, slender-body theories, shallow-water theories, Hele–Shaw flows, and boundary layers. By displaying the commonalities in these, one sees a systematic approach to many fluid- flow problems as well as those in other fields. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Engineering Mathematics Springer Journals

The importance of being thin

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Publisher
Springer Netherlands
Copyright
Copyright © 2017 by Springer Science+Business Media Dordrecht
Subject
Physics; Classical Mechanics; Applications of Mathematics; Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
0022-0833
eISSN
1573-2703
D.O.I.
10.1007/s10665-017-9910-1
Publisher site
See Article on Publisher Site

Abstract

This article outlines a family of approximations for solutions to the incompressible Navier–Stokes equations valid for flow domains that have one small dimension. The approach is applicable to two- or three-dimensional systems, steady or unsteady flows, viscous or inviscid fluids, high or low Reynolds numbers, and internal or external domains. Among the methods in this class are lubrication theories, slender-body theories, shallow-water theories, Hele–Shaw flows, and boundary layers. By displaying the commonalities in these, one sees a systematic approach to many fluid- flow problems as well as those in other fields.

Journal

Journal of Engineering MathematicsSpringer Journals

Published: Jun 8, 2017

References

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