On Kelvin-Stuart vortices in a viscous fluid

L. E. Fraenkel

Research output: Contribution to journalArticlepeer-review

3 Citations (SciVal)


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.
Original languageEnglish
Pages (from-to)2717-2728
Number of pages12
JournalPhilosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences
Issue number1876
Publication statusPublished - 2008


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