Effective slip length: some analytical and numerical results

Xingyou Philip Zhang, Nat Lund, Shaun C. Hendy


More and more experimental evidence demonstrates that the slip boundary condition plays an important role in the study of nano- or micro-scale fluid. We propose a homogenization approach to study the effective slippage problem. We show that the effective slip length obtained by homogenization agrees with the results obtained by the traditional method in the literature for the simplest Stokes flow; then we use our approach to deal with two examples which seem quite hard by other analytical methods. We also include some numerical results to validate our analytical results.



Stokes flow; effective slip length; homogenization; anisotropic slip; finite element method

DOI: http://dx.doi.org/10.21914/anziamj.v57i0.5184

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.