Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-20T04:19:57.942Z Has data issue: false hasContentIssue false

Density currents or density wedges: boundary-layer influence and control methods

Published online by Cambridge University Press:  21 April 2006

Gerhard H. Jirka
Affiliation:
DeFrees Hydraulics Laboratory, Cornell University, Ithaca, NY 14853, USA
Masamitsu Arita
Affiliation:
DeFrees Hydraulics Laboratory, Cornell University, Ithaca, NY 14853, USA

Abstract

Density currents and density wedges are two observed manifestations of interactions between an ambient flow and a horizontal buoyant intrusion. In a density current the buoyant pressure force is primarily balanced by the local form drag of the current head which has a blunt shape and abrupt depth change. In a density wedge a distributed interfacial drag is the primary balancing force, leading to a stretched-out shape and long-distance intrusions. A perturbation analysis of the approach flow to the inclined front of a density current shows that slight momentum changes caused by viscous effects in the ambient flow determine which of these two flow types is established. In a uniform ambient channel flow, any momentum deficit relative to the inviscid case will lead to a local flattening of the front and ultimate breakdown into a density wedge. On the other hand, a momentum surplus will support a steady-state density current. Several exploratory experiments on control of the ambient boundary layer through local non-uniformities were performed with the objective of achieving stable density-current forms with limited intrusion lengths. These methods include a small step, a barrier and suction and are applied for intrusions at either the bottom or surface of an ambient water flow. In all cases, good agreement is found with the force balances predicted by Benjamin's (1968) theory and its extension by Britter & Simpson (1978) which accounts for entrainment in the wake zone of the head.

Type
Research Article
Copyright
© 1987 Cambridge University Press

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

Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Benjamin, T. B. 1968 Gravity currents and related phenomena. J. Fluid Mech. 31, 209248.Google Scholar
Britter, R. E. & Simpson, J. E. 1978 Experiments on the dynamics of a gravity current head. J. Fluid Mech. 88, 223240.Google Scholar
Jirka, G. H. 1980 Two-dimensional density current form continuous source in stratified crossflow. In Proc. 2nd Intl Symp. on Stratified Flows (ed. T. Carstens). Trondheim, Norway.
Jones, J. M. & Jirka, G. H. 1986 Transcritical stratified flow from a buoyant source in a cross-current. J. Geophys. Res. (submitted).Google Scholar
Kármán, Th. Von 1940 The engineer grapples with non-linear problems. Bull. Am. Math. Soc. 46, 615683.Google Scholar
Rottman, J. W., Hunt, J. C. R. & Mercer A. 1985 The initial and gravity-spreading phases of heavy gas dispersion: comparison of models with phase I data. J. Hazardous Materials 11, 261279.Google Scholar
Sargent, F. E. & Jirka, G. H. 1982 A comparative study of density currents and density wedges. Tech. Rep. School of Civil and Environmental Engineering, Cornell University, Ithaca, New York.Google Scholar
Schijf, J. B. & Schonfeld, J. C. 1953 Theoretical considerations on the motion of salt and fresh water. Proc. Minnesota Intl Hydraul. Conv. p. 321. ASCE and IAHR.Google Scholar
Simpson, J. E. 1982 Gravity currents in the laboratory, atmosphere, and ocean. Ann. Rev. Fluid Mech. 14, 213234.Google Scholar
Simpson, J. E. & Britter, R. E. 1979 The dynamics of the head of a gravity current advancing over a horizontal surface. J. Fluid Mech. 94, 477495.Google Scholar
Simpson, J. E. & Britter, R. E. 1980 A laboratory model of an atmospheric mesofront. Q. J. R. Met. Soc. 106, 485500.Google Scholar
Thorpe, S. A. 1973 Turbulence in stably stratified fluids: A review of laboratory experiments. Boundary-Layer Met. 5, 95119.Google Scholar
Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.