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On the no-slip boundary condition

Published online by Cambridge University Press:  29 March 2006

S. Richardson
S. Richardson
Affiliation:
Applied Mathematics, University of Edinburgh
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Abstract

It has been argued that the no-slip boundary condition, applicable when a viscous fluid flows over a solid surface, may be an inevitable consequence of the fact that all such surfaces are, in practice, rough on a microscopic scale: the energy lost through viscous dissipation as a fluid passes over and around these irregularities is sufficient to ensure that it is effectively brought to rest. The present paper analyses the flow over a particularly simple model of such a rough wall to support these physical ideas.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 4 , 7 August 1973 , pp. 707 - 719
Copyright
© 1973 Cambridge University Press

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