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Phys. Fluids 27, 2397 (1984); http://dx.doi.org/10.1063/1.864543 (6 pages)

The dynamics of a columnar vortex in an imposed strain

John C. Neu

Mathematical Sciences Research Institute, Berkeley, California 94720

(Received 7 February 1983; accepted 21 March 1984)

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 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 flows such as the mixing layer.

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0031-9171 (print)  

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