Self-similar Structures in 2-D Turbulence: Experimental and Theoretical Study of Vortex Multipoles
Experimental evidence for dipole-like vortex structures in turbulence affected by body forces in a stratified fluid is given. The results from an experimental investigation into the dynamics of the interactions between vortex dipoles and also between vortex dipoles and a vertical barrier are presented. Theoretical consideration reveals that the result of interaction is determined by two main governing parameters: dipolar (J) and quadrupolar (Q) vorticity distributions of the flow. The connection between J, Q and forces applied to the viscous fluid is obtained and a self-similar solution for a vortex quadrupole is found.
KeywordsStream Function Planar Flow Stratify Fluid Vorticity Distribution Intermediate Distance
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- 1.Flierl, G.R., Stern, M.E. and Whitehead, J.A.: Dyn. Atm. and Oceans 7 (4), 2333–263 (1983)Google Scholar
- 6.Fedorov, K.K. and Ginzburg, A.I.: Surface layer of the ocean. Leningrad. Gidrometeoizdat (1986).Google Scholar
- 7.Nihoul, J.C.J. and Lamart, N.B. (edrs): Mesoscale/synoptic coherent structures in geophysical turbulence. Elsevier Oceanography Ser. 50. Amsterdam (1989).Google Scholar
- 8.Afanasyev, Ya. D. and Voropayev, S.I.: Reports USSR Acad. of Sci. 308 (1), 179–183 (1989).Google Scholar
- 9.Barenblatt, G.I., Voropayev, I.I. and Filippov, I.A.: Reports USSR Acad. Sci. 307 (3), 720–724 (1989).Google Scholar
- 10.Voropayev, S.I. and Filippov, I.A.: Izvestia USSR Acad. of Sci. Atm. and Ocean Phys. 21 (9), 964–972 (1985).Google Scholar
- 12.Afanasyev, Ya. D. and Voropayev, S.I.: Izvestia USSR Acad. of Sci. Atm. and Ocean Phys. 25 (8), 843–851 (1989).Google Scholar