Slip in Flow through Assemblages of Spherical Particles at Low to Moderate Reynolds Numbers

Abstract

Effects of slip velocity and volume fraction of slip spheres on the momentum transfer characteristics of assemblages of slip spheres are numerically investigated. The fluid slip along the surface of the sphere is considered by Navier's linear slip model. The dimensionless governing continuity and momentum equations are solved using a semi-implicit marker and cell method implemented on a staggered grid arrangement in spherical coordinates. The convection and viscous terms of momentum equations are discretized by means of the QUICK scheme and a second-order central differencing scheme, respectively. The present numerical solver is benchmarked via grid independence and comparisons with the existing literature values. Results were obtained over a wide range of pertinent dimensionless numbers such as the Reynolds number, volume fraction of the dispersed phase, and dimensionless slip parameter.

Gas‐Solid Drag Coefficient for Ordered Arrays of Monodisperse Microspheres in Slip Flow Regime

“…. These results are smaller than the benchmark data, which may be attributed to the homogeneous assumption of sphere distribution in the cell model , , .…”

“…, Zick et al , Hill et al , and Zhou et al are generally consistent with each other. Furthermore, the drag obtained by the cell model , , is also presented in Fig. .…”

“…The dash‐dot line interpolates the discrete data of Zick et al . Results from Kishore et al , and Faltas et al using the cell model are included for comparison.…”

“… reported the rarefied gas flow past an in‐line array of circular cylinders. In particular, Faltas and Saad and Kishore and Ramteke investigated the problem of flow through assemblages of slippery spheres using the cell model . Spheres are assumed to be distributed homogeneously in the studies , .…”

“…In particular, Faltas and Saad and Kishore and Ramteke investigated the problem of flow through assemblages of slippery spheres using the cell model . Spheres are assumed to be distributed homogeneously in the studies , . Furthermore, the slip at the sphere surface is considered by the first‐order Navier's linear model (Eq.…”