Drag measurements for axisymmetric motion of a torus at low Reynolds number
作者:
A. M. D. Amarakoon,
R. G. Hussey,
Bill J. Good,
Edward G. Grimsal,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1982)
卷期:
Volume 25,
issue 9
页码: 1495-1501
ISSN:0031-9171
年代: 1982
DOI:10.1063/1.863935
出版商: AIP
数据来源: AIP
摘要:
Measurements are presented for the drag on a torus moving along its axis of rotational symmetry at low Reynolds number. IfDis the outside diameter of the torus, anddis the thickness in the axial direction, then the measurements cover the ranges0= 1 (the closed torus) tos0= 135, wheres0≡(D/d)−1. The effect of a coaxial cylindrical boundary (diameterH) is taken into account by an empirical correlation. The values of drag obtained by extrapolating to a fluid of infinite extent are in good agreement with the exact solution obtained by Majumdar and O’Neill. When &pgr;d(s0)1/2≪H, the empirical boundary correlation is consistent with the result of Brenner for a particle of arbitrary shape. Measurements with outer boundaries of square and circular cross section indicate that the relative effect of the two boundary shapes on the drag is the same for the torus as that found by Happel and Bart for a sphere. Empirical results are presented for the case in which the torus is strongly influenced by a coaxial cylindrical boundary.
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