Slow Motion of a Slip Spherical Particle in a Circular Cylindrical Pore
Date Issued
2006
Date
2006
Author(s)
Hsu, Hao-Feng
DOI
en-US
Abstract
A combined analytical-numerical study for the creeping flow caused by a rigid spherical particle translating in a viscous fluid along the centerline of a circular cylindrical pore is presented. The fluid, which may be a slightly rarefied gas, is allowed to slip at the surface of the particle. To solve the axisymmetric Stokes equation for the fluid velocity field, a general solution is constructed from the superposition of the fundamental solutions in both circular cylindrical and spherical coordinate systems. Boundary conditions are enforced first at the pore wall by the Fourier transforms and then on the particle surface by a collocation technique. Numerical results for the hydrodynamic drag force acting on the particle are obtained with good convergence for various values of the slip coefficient of the particle and of the relative separation distance between the particle and the pore wall. For the motions of a no-slip sphere and a perfectly-slip sphere along the centerline of a cylindrical pore, our drag results are in good agreement with the available solutions in the literature. The boundary-corrected drag force exerted on the particle in general decreases with an increase in the slip coefficient for a given ratio of particle-to-pore radii, but there are exceptions. In a comparison for the pore shape effect on the axial translation of a slip sphere, it is found that the particle in a circular cylindrical pore acquires a lower hydrodynamic drag than in a spherical cavity but a higher drag force than in a slit pore.
Subjects
緩慢運動
緩流
氣膠粒子
表面滑移
拖曳力
邊界效應
Creeping Flow
Aerosol Sphere
Slip-Flow Surface
Drag Force
Boundary Effect
Type
thesis
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