A general theory for the motion of a body through a fluid at low Reynolds number
1990 ◽
Vol 430
(1878)
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pp. 89-104
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Keyword(s):
The motion of a body through a viscous fluid at low Reynolds number is considered. The motion is steady relative to axes moving with a linear velocity, U a , and rotating with an angular velocity, Ω a . The fluid motion depends on two (small) Reynolds numbers, R proportional to the linear velocity and T proportional to the angular velocity. The correction to the first approximation (Stokes flow) is a complicated function of R and T ; it is O ( R ) for T ½ ≪ R and O ( T ½ )for T ½ ≫ R . General formulae are derived for the force and couple acting on a body of arbitrary shape. From them all the terms O ( R + T ) or larger can be calculated once the Stokes problem has been solved completely. Some special cases are considered in detail.
2001 ◽
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2000 ◽
Keyword(s):
Keyword(s):
1966 ◽
Vol 24
(1)
◽
pp. 113-151
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2005 ◽
Vol 57
(3)
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pp. 116-120
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Keyword(s):
Keyword(s):