期刊
JOURNAL OF FLUID MECHANICS
卷 706, 期 -, 页码 108-117出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2012.228
关键词
low-Reynolds-number flows; microfluidics; effective slip
资金
- Russian Academy of Sciences through its Priority Programme 'Assembly and Investigation of Macromolecular Structures of New Generations'
In many applications it is advantageous to construct effective slip boundary conditions, which could fully characterize flow over patterned surfaces. Here we focus on laminar shear flows over smooth anisotropic surfaces with arbitrary scalar slip b(y), varying in only one direction. We derive general expressions for eigenvalues of the effective slip-length tensor, and show that the transverse component is equal to half of the longitudinal one, with a two times larger local slip, 2b(y). A remarkable corollary of this relation is that the flow along any direction of the one-dimensional surface can be easily determined, once the longitudinal component of the effective slip tensor is found from the known spatially non-uniform scalar slip.
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