Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-12-01T02:34:46.893Z Has data issue: false hasContentIssue false

Jets generated by a sphere moving vertically in a stratified fluid

Published online by Cambridge University Press:  24 September 2009

H. HANAZAKI*
Affiliation:
Department of Mechanical Engineering and Science, Kyoto University, Yoshida-Honmachi, Sakyo-Ku, Kyoto 606-8501, Japan
K. KASHIMOTO
Affiliation:
Department of Mechanical Engineering and Science, Kyoto University, Yoshida-Honmachi, Sakyo-Ku, Kyoto 606-8501, Japan
T. OKAMURA
Affiliation:
Department of Mechanical Engineering and Science, Kyoto University, Yoshida-Honmachi, Sakyo-Ku, Kyoto 606-8501, Japan
*
Email address for correspondence: [email protected]

Abstract

Experiments are performed on the flow past a sphere moving vertically at constant speeds in a salt-stratified fluid. Shadowgraph method and fluorescent dye are used for the flow visualization, and particle image velocimetry is used for the velocity measurement in the vertical plane. Vertical ‘jets’ or columnar structures are observed in the shadowgraph for all the Froude numbers Fr(0.2 ≲ Fr ≲ 70) investigated, and the wake structures in the whole parameter space of Fr and the Reynolds number Re(30 ≲ Re ≲ 4000) are classified into seven types, five of which are newly found. Those include two types of thin jets, one of which is short with its top disturbed by internal waves to have a peculiar ‘bell-shaped’ structure, while the other has an indefinitely long length. There are two other new types of jet with periodically generated ‘knots’, one of which is straight, while the other has a spiral structure. A simply meandering jet has also been found. These wake structures are significantly different from those in homogeneous fluids except under very weak stratification, showing that the stratification effects on vertical motion are much more significant than those on horizontal motion.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Abaid, N., Adalsteinsson, D., Agyapong, A. & McLaughlin, R. M. 2004 An internal splash: levitation of falling spheres in stratified fluids. Phys. Fluids. 16, 15671580.CrossRefGoogle Scholar
D'Asaro, E. A. 2003 Performance of autonomous Lagrangian floats. J. Atmos. Ocean. Technol. 20, 896911.2.0.CO;2>CrossRefGoogle Scholar
Chomaz, J. M., Bonneton, P. & Hopfinger, E. J. 1993 The structures of the near wake of a sphere moving horizontally in a stratified fluid. J. Fluid Mech. 254, 121.CrossRefGoogle Scholar
De Silva, I. P. D. & Fernando, H. J. S. 1998 Experiments on collapsing turbulent regions in stratified fluids. J. Fluid Mech. 358, 2960.CrossRefGoogle Scholar
Hanazaki, H. 1988 A numerical study of three-dimensional stratified flow past a sphere. J. Fluid Mech. 192, 393419.CrossRefGoogle Scholar
Hanazaki, H., Kashimoto, K. & Okamura, T. 2009 a Structure of jets in the wake of a sphere moving vertically in stratified fluids. In preparation.CrossRefGoogle Scholar
Hanazaki, H., Konishi, K. & Okamura, T. 2009 b Schmidt number effects on the flow past a sphere moving vertically in a stratified diffusive fluid. Phys. Fluids. 21, 026602.CrossRefGoogle Scholar
Hunt, J. C. R. & Snyder, W. H. 1980 Experiments on stably and neutrally stratified flow over a model three-dimensional hill. J. Fluid Mech. 96, 671704.CrossRefGoogle Scholar
Lee, S. 2000 A numerical study of the unsteady wake behind a sphere in a uniform flow at moderate Reynolds numbers. Comp. Fluids 29, 639667.CrossRefGoogle Scholar
Lin, Q., Lindberg, W. R., Boyer, D. L. & Fernando, H. J. S. 1992 Stratified flow past a sphere. J. Fluid Mech. 240, 315354.CrossRefGoogle Scholar
McDougall, T. J. 1979 On the elimination of refractive-index variations in turbulent density-stratified liquid flows. J. Fluid Mech. 93, 8396.CrossRefGoogle Scholar
Mowbray, D. E. & Rarity, B. S. H. 1967 The internal wave pattern produced by a sphere moving vertically in a density stratified liquid. J. Fluid Mech. 30, 489495.CrossRefGoogle Scholar
Ochoa, J. L. & Van Woert, M. L. 1977 Flow visualization of boundary layer separation in a stratified fluid. Unpublished Rep. Scripps Institute of Oceanography, p. 28.Google Scholar
Spedding, G. R., Browand, F. K. & Fincham, A. M. 1996 The long-time evolution of the initially turbulent wake of a sphere in a stable stratification. Dyn. Atmos. Ocean. 23, 171182.CrossRefGoogle Scholar
Srdić-Mitrović, A. N., Mohamed, N. A. & Fernando, H. J. S. 1999 Gravitational settling of particles through density interfaces. J. Fluid Mech. 381, 175198.CrossRefGoogle Scholar
Torres, C. R., Hanazaki, H., Ochoa, J., Castillo, J. & Van Woert, M. 2000 Flow past a sphere moving vertically in a stratified diffusive fluid. J. Fluid Mech. 417, 217236.CrossRefGoogle Scholar