Hydrodynamic slip boundary condition at chemically patterned surfaces: A continuum deduction from molecular dynamics

Tiezheng Qian, Xiao-Ping Wang, and Ping Sheng
Phys. Rev. E 72, 022501 – Published 18 August 2005

Abstract

We investigate the slip boundary condition for flows past a chemically patterned surface. Molecular dynamics simulations show that fluid forces and stresses vary laterally along the patterned surface. A subtraction scheme is developed to verify the validity of the Navier slip boundary condition, locally, for the patterned surface. A continuum hydrodynamic model is formulated using the Navier-Stokes equation and the Navier boundary condition, with a slip length varying along the patterned surface. Steady-state velocity fields from continuum calculations are in quantitative agreement with those from molecular simulations.

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  • Received 10 February 2005

DOI:https://doi.org/10.1103/PhysRevE.72.022501

©2005 American Physical Society

Authors & Affiliations

Tiezheng Qian and Xiao-Ping Wang

  • Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China

Ping Sheng

  • Department of Physics and Institute of Nano Science and Technology, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China

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Issue

Vol. 72, Iss. 2 — August 2005

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