Current‐Carrying Fluid Past a Nonconducting Sphere at Low Reynolds Number
作者:
Chuen‐Yen Chow,
Dana F. Billings,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1967)
卷期:
Volume 10,
issue 4
页码: 871-873
ISSN:0031-9171
年代: 1967
DOI:10.1063/1.1762202
出版商: AIP
数据来源: AIP
摘要:
The problem of a nonconducting sphere moving slowly through a current‐carrying, incompressible, viscous fluid is re‐examined by taking fluid inertia into consideration. Stokes and Oseen expansions appropriate for flow near and far from the sphere are constructed and matched properly. The result shows that a standing eddy first appears behind the sphere at a Reynolds number Re = 24(3+4Rh)−1,Rhbeing the magnetic pressure number. The effect of current is to hasten flow separation and to enlarge the reverse‐flow region. The drag of the sphere is found to be 1 + Re (3 +Rh)/8 times the Stokes value.
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