On Kelvin-Stuart vortices in a viscous fluid
Fraenkel, L. E., 2008. On Kelvin-Stuart vortices in a viscous fluid. Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences, 366 (1876), pp. 2717-2728.
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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.
|Creators||Fraenkel, L. E.|
|Departments||Faculty of Science > Mathematical Sciences|
|Additional Information||ID number: ISI:000257514500006|
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