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Inviscid evolution of stretched vortex arrays

Pullin, D. I. and Jacobs, P. A. (1986) Inviscid evolution of stretched vortex arrays. Journal of Fluid Mechanics, 171 . pp. 377-406. ISSN 0022-1120. doi:10.1017/s0022112086001490.

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The nonlinear evolution of an array of pairs of inviscid counter-rotating vortices, subjected to an applied stretching strain field, has been studied numerically using the contour-dynamics method. The array configuration is effectively the Corcos-Lin model of streamwise vortices in the braid region of a nominally two-dimensional mixing layer. For each individual vortex the simulations elucidate the strong interaction between the vortex self-induction, the vorticity amplification of the stretching strain, and the local in-plane strain applied by all other members of the array. When the initial vorticity distribution is modelled by a non-uniform piece-wise-constant vorticity field defined over a nested set of non-intersecting contours, the dynamical evolution reveals fine structure consisting of strong vortex roll-up accompanied by trailing, filament-like spiral vortex sheets, and the presence of tertiary instabilities. It is shown by a particular example that these features are largely absent in an equivalent computation in which array members are modelled by the commonly used uniform-vortex approximation.

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Additional Information:© 1986 Cambridge University Press. (Received 4 June 1985 and in revised form 25 March 1986) This work was supported by the Australian Research Grants Scheme under Grant No. F8315031 I.
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Australian Research Grants CommitteeF 8315031 I
Record Number:CaltechAUTHORS:20181120-153100192
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Official Citation:Pullin, D., & Jacobs, P. (1986). Inviscid evolution of stretched vortex arrays. Journal of Fluid Mechanics, 171, 377-406. doi:10.1017/S0022112086001490
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:91100
Deposited By: George Porter
Deposited On:21 Nov 2018 15:35
Last Modified:16 Nov 2021 03:38

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