Axisymmetric Submerged Intrusion in Stratified Fluid
Publication: Journal of Hydraulic Engineering
Volume 126, Issue 6
Abstract
This paper presents the results of laboratory experiments conducted to study the spreading rates of axisymmetric intrusive gravity currents produced by a constant inflow into a stratified body of water. The experiments were conducted over a wide range of initial parameters. A balance of the forces that drive and retard the flow indicate that the intrusion is characterized by four spreading regimes: (1) the radial jet; (2) the radial momentum flux balanced by the inertia force; (3) the pressure (buoyancy) force balanced by the inertia force; and (4) the pressure force balanced by the interfacial drag (“viscous force”). The experimental results seem to confirm the derived spreading relations. The paper makes three significant contributions. It resolves theoretically and experimentally the existing conflict regarding the proper radial growth of the intrusion in the inertia-buoyancy regime. In addition, it relates the observed transition from the inertia-buoyancy regime to viscous buoyancy regime. It does so using scaling arguments to find the length and time scales for this transition. The paper also gives extensive experimental evidence for the spreading relationships in the inertia-buoyancy and viscous-buoyancy regimes, and it facilitates the determination of the corresponding experimental coefficients.
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References
1.
Britter, R. E. (1979). “The spread of a buoyant plume in a calm environment.” Atmospheric Envir., 13, 1241–1247.
2.
Chen, J. C., and List, E. J. (1976). “Spreading of buoyant discharges.” Proc., ICHMT Conf., Dubrovnik, Yugoslavia, 171–182.
3.
Chen, J. C. ( 1980). “Studies on gravitational spreading currents.” Rep. No. KH-40, PhD thesis, California Institute of Technology, Pasadena, Calif.
4.
Didden, N., and Maxworthy, T. (1982). “The viscous spreading of plane and axisymmetric gravity currents.” J. Fluid Mech., 121, 27–42.
5.
Fay, J. A. ( 1969). “The spread of oil slicks on a calm sea.” Oil on the sea, D. P. Hoult, ed., 36–63. Plenum.
6.
Hoult, D. P. (1972). “Oil spreading on the sea.” Annu. Rev. Fluid Mech., 4, 341–368.
7.
Huppert, H. E. (1982). “The propagation of two dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface.” J. Fluid Mech., 121, 43–58.
8.
Ivey, G. N., and Blake, S. (1985). “Axisymmetric withdrawal and inflow in a density-stratified container.” J. Fluid Mech., 161, 115–137.
9.
Lemkert, C. J., and Imberger, J. (1993). “Axisymmetric intrusive gravity currents in linearly stratified fluids.”J. Hydr. Engrg., ASCE, 119(6), 662–679.
10.
Lister, J. R., and Kerr, R. C. (1989). “The propagation of two dimensional and axisymmetric gravity currents at a fluid interface.” J. Fluid Mech., 203, 215–249.
11.
Maxworthy, T. (1972). “Experimental and theoretical studies of horizontal jets in a stratified fluid.” Proc., Int. Symp. on Stratified Flows, Novosibirsk, 611–618.
12.
Papanicolaou, P. N., and List, E. J. (1988). “Investigations of round turbulent buoyant jets.” J. Fluid Mech., 195, 341–391.
13.
Zatsepin, A. G., and Shapiro, G. I. (1982). “A study of axisymmetric intrusions in a stratified fluid.” Izvestiya, Atmosph., and Oc. Phys., 18, 77–80.
Information & Authors
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Published In
Journal of Hydraulic Engineering
Volume 126 • Issue 6 • June 2000
Pages: 446 - 456
History
Received: Jun 29, 1998
Published online: Jun 1, 2000
Published in print: Jun 2000
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