2007/12/01 by Shaun C. Hendy, S. C. Hendy, N. J. Lund +1 · 43 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Boundary layer #Boundary layer thickness #Boundary value problem #Composite material #Engineering #Fluid Dynamics and Thin Films #Limiting #Materials science #Mathematical analysis #Mathematics #Mechanical engineering #Mechanics #Nanopore and Nanochannel Transport Studies #Nanoscopic scale #Nanotechnology #Newtonian fluid #No-slip condition #Physics #Slip (aerodynamics) #Slip line field #Surface Modification and Superhydrophobicity #Thermodynamics #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.76.066313
published in Physical Review E 76(6), 066313 (American Physical Society) · 14 pages, 3 figures
arxiv created 2007/12/01 · openalex publication_date 2007/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study slip boundary conditions for simple fluids at surfaces with nanoscale chemical heterogeneities. Using a perturbative approach, we examine the flow of a Newtonian fluid far from a surface described by a heterogeneous Navier slip boundary condition. In the far field, we obtain expressions for an effective slip boundary condition in certain limiting cases. These expressions are compared to numerical solutions which show they work well when applied in the appropriate limits. The implications for experimental measurements and for the design of surfaces that exhibit large slip lengths are discussed.