Effective velocity boundary condition at a mixed slip surface
arXiv:physics/0607003 · doi:10.1017/S0022112007005149
Abstract
This paper studies the nature of the effective velocity boundary conditions for liquid flow over a plane boundary on which small free-slip islands are randomly distributed. It is found that, to lowest order in the area fraction covered by free-slip regions with characteristic size , a macroscopic Navier-type slip condition emerges with a slip length of the order of . The study is motivated by recent experiments which suggest that gas nano-bubbles may form on solid walls and may be responsible for the appearance of a partial slip boundary conditions for liquid flow. The results are also relevant for ultra-hydrophobic surfaces exploiting the so-called ``lotus effect''.
14 pages, 1 figure
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Cited by in corpus (12)
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