Abastract
The merging of two Burgers vortices in an irrotational background straining flow at high Reynolds number is studied. Both axisymmetric and biaxial strain fields are considered. The merging events produce fine scale spiral vortex structures. For biaxial strain, a cat’s-eye streamline pattern emerges and vorticity is transported away by the background strain. For intermediate strain ratios, the onset of vortex merging is delayed and the resulting vorticity contours are distorted compared to the axisymmetric case. The merging is suppressed for sufficiently large strain ratios.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Buntine, J. D. & Pullin, D. I. 1989 Merger and cancellation of strained vortices. J. Fluid Mech.205, 263–295.
Burgers, J. M. 1948 A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. 1, 171–199.
Chong, M. S., Perry, A. E. & Cantwell, B. J. 1990 A general classification of three-dimensional flow fields. Phys. Fluids A2, 765–777.
Moffatt, H. K., Kida, S. & Ohkitani, K. 1994 Stretched vortices — the sinews of turbulence; large-Reynolds-number asymptotics. J. Fluid Mech.259, 241–264.
Prochazka, A. & Pullin, D. I. 1998 Structure and stability of non-symmetric burgers vortices. J. Fluid Mech.363, 199–228.
Pullin, D. I. & Saffman, P. G. 1998 Vortex dynamics in turbulence Annu. Rev. Fluid Mech.30 31–51.
Robinson, A. C. & Saffman, P. G. 1984 Stability and structure of stretched vortices Stud. Appl. Maths 163–181.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this paper
Cite this paper
Higgins, K., Chong, M.S., Ooi, A. (2002). Merging of non-symmetric Burgers vortices. In: Bajer, K., Moffatt, H.K. (eds) Tubes, Sheets and Singularities in Fluid Dynamics. Fluid Mechanics and Its Applications, vol 71. Springer, Dordrecht. https://doi.org/10.1007/0-306-48420-X_2
Download citation
DOI: https://doi.org/10.1007/0-306-48420-X_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0980-8
Online ISBN: 978-0-306-48420-9
eBook Packages: Springer Book Archive