Publisher： Cambridge University Press
E-ISSN： 1811-8216|23|4|423-432
ISSN： 1727-7191
Source： Journal of Mechanics, Vol.23, Iss.4, 2007-12, pp. : 423-432
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Abstract
In this paper, the drag force on a sphere moving constantly along the centerline of a circular pipe filled with viscous fluid (the falling-sphere problem) under low Reynolds number condition is investigated via numerical calculation. The incompressible Navier-Stokes equations are formulated in a pseudocompressibility form. The numerical scheme makes use of finite-volume method and the numerical flux terms are evaluated using the Total-Variation Diminishing (TVD) strategy commonly applied to the compressible flow. Steady solution is obtained by marching (iterating) in time until the artificial time derivative of pressure term in the continuity equation drops to zero.
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