Slip in flows of power-law liquids past smooth spherical particles

摘要

The effect of slip in flows of power-lawliquids past smooth spherical particles is numerically studied by using Navier's linear slip model. For computational simplicity, a sphere-in-sphere type computational domain has been chosen. Thus, the governing conservation equations of mass and momentum are considered in spherical coordinates. These are solved by using a finite difference method-based simplified marker and cell algorithm implemented on a staggered grid arrangement. The non-Newtonian terms of the momentum equation are discretized by a second-order central differencing scheme, whereas the convective terms are discretized by using QUICK scheme. The reliability and accuracy of the solver is established by comparing the present numerical results with the existing literature counterparts. Furthermore, extensive new results are obtained in the range of conditions for Reynolds number, Re: 0.1-200; power-law behavior index, n: 0.5-1.6; and a dimensionless slip parameter, lambda: 0.01-100. Finally, effects of these dimensionless parameters on near surface flow kinematics are thoroughly delineated.