On Kelvin–Stuart vortices in a viscous fluid
2008 ◽
Vol 366
(1876)
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pp. 2717-2728
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Keyword(s):
The One
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When one contemplates the one-parameter family of steady inviscid shear flows discovered by J. T. Stuart in 1967, an obvious thought is that these flows resemble a row of vortices diffusing in a viscous fluid, with the parameter playing the role of a reversed time. In this paper, we ask how close this resemblance is. Accordingly, the paper begins to explore Navier–Stokes solutions having as initial condition the classical, irrotational flow due to a row of point vortices. However, since we seek explicit answers, such exploration seems possible only in two relatively easy cases: that of small time and arbitrary Reynolds number and that of small Reynolds number and arbitrary time.
1990 ◽
Vol 43
(1)
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pp. 37-43
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Keyword(s):
2008 ◽
Vol 605
◽
pp. 263-279
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1999 ◽
Vol 382
◽
pp. 331-349
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Keyword(s):
Keyword(s):
2009 ◽
Vol 26
(1)
◽
pp. 181-189
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Keyword(s):
1983 ◽
Vol 132
◽
pp. 407-416
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Keyword(s):