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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.
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S. M. Richardson (Tue,) studied this question.
www.synapsesocial.com/papers/6a1555645347fbb1739f9cda — DOI: https://doi.org/10.1017/s0022112073001801
S. M. Richardson
Journal of Fluid Mechanics
University of Edinburgh
Applied Mathematics (United States)
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