Abstract
Effective slip lengths are obtained, using semi-analytic methods, for Stokes flows over a surface that is patterned with a periodic array of two-dimensional (2D) cylindrical or 3D spherical protrusions. The protruding surface can be perfect- or non-slipping, corresponding to a bubble mattress or a rough boundary. For longitudinal and transverse flows over cylindrical bumps and 3D flow over a square array of spherical bumps, the effective slip length is obtained as a function of the protrusion angle, the area fraction of surface covered by protrusions and the partial slip length of the protruding surface. The results are compared with analytical dilute limits in order to ascertain the range of validity of these limits. Phenomenological equations are also derived to enable a quick evaluation of the slip length for some particular values of the protrusion angle at which the slip length is maximum in magnitude.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
