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The dynamics of a columnar vortex in an imposed strain. (English) Zbl 0582.76021
Exact solutions of the time-dependent Euler equations are presented which correspond to uniform columnar vortices with elliptical cross sections undergoing rotation and deformation in a uniform three-dimensional straining flow. In this work, the recent solutions of S. Kida [J. Phys. Soc. Jpn. 50, 3517 (1981] are generalized to include the effect of a strain component along the axis of the vortex which results in its stretching. The time-dependent solutions should play a very useful role in modeling time-dependent vortex interactions in more complicated flow such as the mixing layer.

76B47 Vortex flows for incompressible inviscid fluids
Full Text: DOI
[1] Saffman, Annu. Rev. Fluid Mech. 11 pp 95– (1979)
[2] D. Moore and P. Saffman,Aircraft Wake Turbulence, edited by J. Olsen, A. Goldberg, and N. Rogers (Plenum, New York, 1971), pp. 339–354.
[3] Kida, J. Phys. Soc. Jpn. 50 pp 10, 3517– (1981)
[4] J. Neu, J. Fluid Mech. (to be published).
[5] H. Lamb,Hydrodynamics, 6th ed. (Cambridge U.P., Cambridge, 1932), pp. 232–233.
[6] Moore, J. Fluid Mech. 69 pp 456– (1975)
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