Mobility of a Small Sphere in a Viscous Fluid Confined in a Rigid Circular Cylinder of Finite Length

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概要

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• A theoretical study is made on the effect of finiteness of the length of a circularcylinder on the translational rrnotion of a small sphere along its centerline. Fluid occu-pying that region is assumed viscous and incompressible, anc.l the analysis is based onthe Stokes equations. The method of reflections is employed and first-order correc-lion of the force experienced by the sphere is obtained. Fcvr longer cylinders, end-effects on the force are important only when the sphere is very close to the endwalls,while for cylinders whose length is the same order of magnitude as its radius, end- andsidewalls play equally significant roles. Among cylindrical bccxes containing the sameamount of fluid volume, additional resistance force at the center becomes minimumfor a cylinder with its length/diameter ratio of about 0.56. Streamlines are alsoshown.

• 社団法人日本物理学会の論文
• 1987-08-15

著者

• Sano Osamu

  Faculty Of General Education Tokyo University Of Agriculture And Technology

関連論文

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• Three-Dimensional Moffatt-Type Eddies Due to a Stokeslet in a Corner
• An Analytic Solution of the Lorenz Model
• Mobility of a Small Sphere in a Viscous Fluid Confined in a Rigid Circular Cylinder of Finite Length
• Effect of Asymmetry on the Steady Thermal Convection in a Vertical Torus
• Steady Thermal Convection in an Annular Region between Two Horizontal Concentric Cylinders
• Steady Thermal Convection in a Vertical Torus

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