Gravity currents – theory and laboratory experiments

doi:10.1017/CBO9780511920196.002

1 - Gravity currents – theory and laboratory experiments

Published online by Cambridge University Press: 05 April 2012

Edited by

Claudia Cenedese and

Paul Linden: Affiliation:
University of Cambridge
Eric P. Chassignet: Affiliation:
Florida State University
Claudia Cenedese: Affiliation:
Woods Hole Oceanographic Institution, Massachusetts
Jacques Verron: Affiliation:
Centre National de la Recherche Scientifique (CNRS), Grenoble

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Summary

Introduction

Gravity currents occur when there are horizontal variations in density in a fluid under the action of a gravitational field. Asimple example that can be readily experienced is the gravity current that flows into a warm house through a doorway when it is opened on a cold, windless day. The larger density of the cold air produces a higher pressure on the outside of the doorway than on the inside, and this pressure difference drives the cold air in at the bottom and the warm air out at the top of the doorway. In addition to horizontal density variations, there must also be some feature to stop the fluid from either rising or falling indefinitely and to constrain the flow to be primarily horizontal. In many cases this is a solid boundary, such as the ground. In other situations it may be another feature of the density variations within the fluid, such as a density interface or vertical density stratification.

Gravity currents occur in gases when there are temperature differences, such as in the sea breeze, the flow of cool moist air from the sea to the land. On a warm day, the sun heats the land more than the sea, and, consequently, the air at low altitudes over the land is warmer than that over the sea. The sea breeze is a significant feature of coastal meteorology in many parts of the world.

Information

Type: Chapter
Information: Buoyancy-Driven Flows , pp. 13 - 51

DOI: https://doi.org/10.1017/CBO9780511920196.002 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2012

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References

Benjamin, T. B. 1968: Gravity currents and related phenomena. J. Fluid Mech. 31, 209–248.Google Scholar

Birman, V. K., Meiburg, E., and Ungarish, M. 2007: On gravity currents in stratified ambients. Phys. Fluids 19 (086602).Google Scholar

Bolster, D. T., Hang, A. and Linden, P. F. 2008: The front speed of intrusions into a continuously stratified medium. J. Fluid Mech. 594, 369–377.Google Scholar

Cheong, H. B., Kuenen, J. J. P., and Linden, P. F. 2006: The front speed of intrusive gravity currents. J. Fluid Mech. 552, 1–11.Google Scholar

Flynn, M. R., and Linden, P. F. 2006: Intrusive gravity currents. J. Fluid Mech. 568, 193–202.Google Scholar

Gardner, G. C., and Crow, I. G. 1970: The motion of large bubbles in horizontal channels. J. Fluid Mech. 43, 247–255.Google Scholar

von Kármán, T. 1940: The engineer grapples with nonlinear problems. Bull. Am. Math. Soc., 46, 615–683.Google Scholar

Lowe, R. J., Rottman, J.W., and Linden, P. F. 2005: The non-Boussinesq lock-exchange problem. Part 1. Theory and experiments. J. Fluid Mech. 537, 101–124.Google Scholar

Marino, B. M., Thomas, L. P., and Linden, P. F. 2005: The front condition for gravity currents. J. Fluid Mech. 536, 49–78.Google Scholar

Maxworthy, T., Leilich, J., Simpson, J. E., & Meiburg, E. H. 2002: The propagation of a gravity current into a linearly stratified fluid. J. Fluid Mech. 453, 371–394.Google Scholar

Rottman, J.W., and Simpson, J. E. 1983: Gravity currents produced by instantaneous release of a heavy fluid in a rectangular channel. J. Fluid Mech. 135, 95–110.Google Scholar

Shin, J. O., Dalziel, S. B., and Linden, P. F. 2004: Gravity currents produced by lock exchange. J. Fluid Mech. 521, 1–34.Google Scholar

Simpson, J. E. 1972: Effects of lower boundary on the head of a gravity current. J. Fluid Mech. 53, 759–768.Google Scholar

Simpson, J. E. 1997: Gravity Currents, 2nd ed. Cambridge, Cambridge University Press.

Simpson, J. E., and Linden, P. F. 1989: Frontogenesis in a fluid with horizontal density gradients. J. Fluid Mech. Digital Archive 202, 1–16.Google Scholar

Ungarish, M., and Huppert, H. E. 2002: On gravity currents propagating at the base of a stratified ambient. J. Fluid Mech. 458, 283–301.Google Scholar

White, B. L., and Helfrich, K. R. 2008: Gravity currents and internal waves in a stratified fluid. J. Fluid Mech. 616, 327–356.Google Scholar

Yih, C. S. 1965: Dynamics of Nonhomogeneous Fluids. New York, Macmillan

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