MIFP RESEARCH MEMBERS' PUBLICATIONS

MEMBERS' PUBLICATIONS

File: Effective slip boundary conditions for arbitrary onedimensional surfaces

pdf.png
Uploaded:
17.10.12
Modified:
17.10.12
File Size:
659 KB

Evgeny S. Asmolov and Olga I. Vinogradova


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.

We use cookies to improve our website and your experience when using it. Cookies used for the essential operation of the site have already been set. To find out more about the cookies we use and how to delete them, see our privacy policy.

I accept cookies from this site.

EU Cookie Directive Module Information