Effective slip boundary conditions for flows over nanoscale chemical heterogeneities

S. C. Hendy, N. J. Lund
2007 Physical Review E  
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
more » ... s for experimental measurements and for the design of surfaces that exhibit large slip lengths are discussed.
doi:10.1103/physreve.76.066313 pmid:18233923 fatcat:qdtygxxuxfh7pnvgqiybxwvmem