Abstract
The evolution of an initially-turbulent wake behind a bluff-body is a useful model for a broad range of flows involving the decay of a local turbulent patch in a stable background density gradient. Such flows encompass many atmospheric and oceanic applications, the latter including also the evolution of wakes of submerged bodies.
In the case of the towed-sphere wake, the initially-turbulent motions evolve into a chain of alternate-signed vortices that remain close to the centreline. The characteristic, well-ordered wake is generated regardless of the relative magnitude of the background density gradient (provided it is nonzero), because eventually, buoyancy forces dominate the decaying flow. The wake geometry appears to be very stable, and the basic pattern has a very long persistence time.
When the large scale structures are generated in the presence of weaker background turbulence, then a vortex pattern detection problem inevitably arises as a requirement for identifying the foreground motions and their possible interactions with the ambient. The space of independent parameter combinations is now large, but experiments can help to identify relevant dimensionless groups.
Although the horizontal motions are most well-known, and are the easiest to visualize, the structure in the vertical direction is also important in determining the dynamics, stability and longevity of the wake in both quiet and noisy environments.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bonneton P., Chomaz J.M. and Hopfinger E.J. (1993) Internal waves produced by the turbulent wake of a sphere moving horizontally in a stratified fluid. J. Fluid Mech., 254, 23–40.
Browand F.K., Guyomar D., and Yoon S.C. (1987) The behaviour of a turbulent front in a stratified fluid: experiments with an oscillating grid. J. Geophys. Res., 92, 5329–5341.
Chomaz J.M., Bonneton P., Butet A., and Hopfinger E.J. (1993) Vertical diffusion in the far wake of a sphere moving in a stratified fluid. Phys. Fluids, 5, 2799–2806.
Chomaz J.M., Bonneton P., and Hopfinger E.J.(1993) The structure of the near wake of a sphere moving horizontally in a stratified fluid. J. Fluid Mech., 254, 1–21.
Fincham A.M., Maxworthy T., and Spedding G.R. (1996) Energy dissipation and vortex structure in freely-decaying, stratified grid turbulence. Dyn. Atmos. Ocean, 23, 155–169.
Flór J.B., Govers W.S.S., van Heijst G.J.F., and van Sluis R. (1993) Formation of a tripolar vortex in a stratified fluid. Appl. Sci. Res., 51, 405–409.
Flór J.B. and van Heijst G.J.F. (1994) Experimental study of dipolar vortex structures in a stratified fluid. J. Fluid Mech., 279, 101–134.
Flór J.B. and van Heijst G.J.F. (1996) Stable and unstable monopolar vortices in a stratified fluid. J. Fluid Mech., 311, 257–287.
Hopfinger E.J., Flór J.B., Chomaz J.M. and Bonneton P. (1991) Internal waves generated by a moving sphere and its wake in a stratified fluid. Exp. Fluids, 11, 255–261.
Kimura Y. and Herring J.R. (1996) Diffusion in stably stratified turbulence. J. Fluid Mech., 328, 253–269.
Lighthill M.J. (1996) Internal waves and related initial-value problems. Dyn. Atmos. Ocean, 23, 3–17.
Lin J.T. and Pao Y.H. (1979) Wakes in stratified fluids: a review. Ann. Rev. Fluid Mech., 11, 317–338.
Lin Q., Lindberg W.R., Boyer D.L., and Fernando H.J.S. (1992) Stratified flow past a sphere. J. Fluid Mech., 240, 315–354.
Liu Y.N., Maxworthy T., and Spedding G.R. (1987) Collapse of a turbulent front in stratified fluid 1. Nominally two-dimensional evolution in a narrow tank. J. Geophys. Res., 92, 5427–5433.
Majda A.J. and Grote M.J. (1997) Model dynamics and vertical collapse in decaying strongly stratified flows. Phys. Fluids. (in press).
Spedding G.R. (1997) The evolution of initially-turbulent bluff-body wakes at high internal Froude number. J. Fluid Mech., 337, 283–301.
Spedding G.R., Browand F.K., and Fincham A.M. (1996a) The long-time evolution of the initially-turbulent wake of a sphere in a stable stratification. Dyn. Atmos. Ocean, 23, 171–182.
Spedding G.R., Browand F.K., and Fincham A.M. (1996b) Turbulence, similarity scaling and vortex geometry in the wake of a sphere in a stably-stratified fluid. J. Fluid Mech., 314, 53–103.
Staquet C. (1995) Two-dimensional secondary instabilities in a strongly stratified shear layer. J. Fluid Mech., 296, 73–126.
Sysoeva E.Y. and Chashechkin Y.D. (1991) Vortex systems in the stratified wake of a sphere. Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 4, 82–90.
Voropayev S.I. and Afanasyev Y.D. (1992) Two-dimensional vortex-dipole interactions in a stratified fluid. J. Fluid Mech., 236, 665–689.
Voropayev S.I. and Afanasyev Y.D. (1994) Vortex Structures in a Stratified Fluid. Chapman & Hall.
Voropayev S.I., Afanasyev Y.D., and Filippov I.A. (1991) Horizontal jets and vortex dipoles in a stratified fluid. J. Fluid Mech., 227, 543–566.
Xu Y., Fernando H.J.S., and Boyer D.L. (1995) Turbulent wakes of stratified flow past a cylinder. Phys. Fluids, 9, 2243–2255.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Spedding, G.R. (1999). Vortex Wakes in Stably-Stratified Fluids. In: Sørensen, J.N., Hopfinger, E.J., Aubry, N. (eds) IUTAM Symposium on Simulation and Identification of Organized Structures in Flows. Fluid Mechanics and Its Applications, vol 52. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4601-2_15
Download citation
DOI: https://doi.org/10.1007/978-94-011-4601-2_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5944-2
Online ISBN: 978-94-011-4601-2
eBook Packages: Springer Book Archive