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Three-dimensional shear layers via vortex dynamics

Published online by Cambridge University Press:  21 April 2006

W. T. Ashurst  and
Eckart Meiburg
W. T. Ashurst
Affiliation:
Sandia National Laboratories, Livermore, CA 94550, USA
Eckart Meiburg
Affiliation:
Division of Applied Mathematics, Brown University, Providence, RI 02912, USA
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Abstract

The evolution of the two- and three-dimensional structures in a temporally growing plane shear layer is numerically simulated with the discrete vortex dynamics method. We include two signs of vorticity and thus account for the effect of the weaker boundary layer leaving the splitter plate which is used to create a spatially developing mixing layer. The interaction between the two layers changes the symmetry properties seen in a single vorticity-layer calculation and results in closer agreement with experimental observations of the interface between the two streams. Our calculations show the formation of concentrated streamwise vortices in the braid region between the spanwise rollers, whereas the spanwise core instability is observed to grow only initially. Comparison with flow visualization experiments is given, and we find that the processes dominating the early stages of the mixing-layer development can be understood in terms of essentially inviscid vortex dynamics.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 189 , April 1988 , pp. 87 - 116
Copyright
© 1988 Cambridge University Press

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