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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:We describe a tensorial generalization of the Navier slip boundary condition and
illustrate its use in solving for flows around anisotropic textured surfaces. Tensorial
slip can be derived from molecular or microstructural theories or simply postulated
as a constitutive relation, subject to certain general constraints on the interfacial
mobility. The power of the tensor formalism is to capture complicated effects of
surface anisotropy, while preserving a simple fluid domain. This is demonstrated by
exact solutions for laminar shear flow and pressure-driven flow between parallel plates
of arbitrary and different textures. From such solutions, the effects of rotating a texture
follow from simple matrix algebra. Our results may be useful for extracting local slip
tensors from global measurements, such as the permeability of a textured channel or
the force required to move a patterned surface, in experiments or simulations.