TECHNICAL PAPERS
Sep 1, 2008

Time-Varying Underflow into a Continuous Stratification with Bottom Slope

Publication: Journal of Hydraulic Engineering
Volume 134, Issue 9

Abstract

Results are presented from a laboratory investigation of a continuous discharge gravity current moving down an inclined plane into a linearly stratified fluid; the density of the inflow decreasing linearly with time, initially larger and finally smaller than the bottom ambient density. The inflowing water was observed to follow both underflowing and intrusive flow regimes. Hence, during the time in which the inflow was denser than the water in the stratified reservoir, an underflow was observed to descend down the sloping bottom with a speed that was consistent with that given by the theory for a buoyancy-conserving gravity current on gentle slopes. However, the continuous decrease of the density at the source shortly lead to an unstable density distribution within the initial underflow, which then collapsed into an intrusion that traveled as a horizontal gravity intrusion. Scaling arguments were used to identify both the position and time to the breakup of the underflow. To the end of the experiment, multiple intrusions were established successively at different depths in between the initial underflow and the surface buoyant plume.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The present work was performed while the first writer was the recipient of an International Postgraduate Research Scholarship and a University of Western Australia Postgraduate Award. Financial support which made these experiments possible was provided by the Centre for Water Research. The writers thank C. Dallimore for the comments on the earlier versions of the manuscript, and G. Atwater who assisted in some early calibration tasks. We also thank the anonymous referees for their very positive and constructive reviews of the manuscript.

References

Altinakar, S., Graf, W. H., and Hopfinger, E. J. (1990). “Weakly depositing turbidity current on a small slope.” J. Hydraul. Res., 28, 55–80.
Baines, P. G. (2001). “Mixing in flows down gentle slopes into stratified environments.” J. Fluid Mech., 443, 237–270.
Britter, R. E., and Linden, P. F. (1980). “Experiments on the dynamics of a gravity head.” J. Fluid Mech., 88, 223–240.
Browand, F. K., Guyomar, D., and Yoon, S.-C. (1987). “The behaviour of a oscillating grid.” J. Geophys. Res., 92(C5), 5329–5341.
Browand, F. K., and Winant, C. D. (1972). “Blocking ahead of a cylinder moving in a stratified fluid: An experiment.” Geophys. Fluid Dyn., 4, 29, 53.
Fernandez, R. L., and Imberger, J. (2006). “Bed roughness induced entrainment in a high Richardson number underflow.” J. Hydraul. Eng., accepted.
Fischer, H. B., and Smith, R. D. (1983). “Observations of transport to surface waters from a plunging inflow to Lake Mead.” Limnol. Oceanogr., 28(2), 258–272.
Graf, W. H., and Altinakar, M. S. (1995). “Courants de turbidité.” Houille Blanche, 7, 28–38.
Hogg, A., Huppert, H., and Hallworth, M. (1999). “Reversing buoyancy of particle-driven gravity currents.” Phys. Fluids, 11(10), 2891–2899.
Hopfinger, E. (1983). “Snow avalanche motion and related phenomena.” Annu. Rev. Fluid Mech., 15, 47–76.
Hürzeler, B. E., Imberger, J., and Ivey, G. (1996). “Dynamics of turbidity current with reversing buoyancy.” J. Hydraul. Eng., 122(5), 230–236.
Imberger, J. (1972). “Two-dimensional sink flow of a stratified fluid contained in a duct.” J. Fluid Mech., 43(2), 329–349.
Imberger, J., Thomson, R., and Fandry, C. (1976). “Selective withdrawal from a finite rectangular tank.” J. Fluid Mech., 78, 489–512.
Manins, P. C. (1976). “Intrusion into a stratified fluid.” J. Fluid Mech., 74, 547–560.
Maxworthy, T. (1972). “Gravity currents with variable inflow.” J. Fluid Mech., 128, 247–257.
Maxworthy, T. (1999). “The dynamics of sedimenting surface gravity currents.” J. Fluid Mech., 392, 27–44.
Maxworthy, T., Leilich, J., Simpson, J., and Meiburg, E. H. (2002). “The propagation of a gravity current in a linearly stratified fluid.” J. Fluid Mech., 453, 371–394.
McEwan, A. D., and Baines, P. G. (1974). “Shear fronts and an experimental stratified shear flow.” J. Fluid Mech., 63, 257–272.
Monaghan, J. J., Cas, R. A. F., Kos, A. M., and Hallworth, M. (1999). “Gravity currents descending a ramp in a stratified tank.” J. Fluid Mech., 379, 39–70.
Oster, G. (1965). “Density gradients.” Sci. Am., 213(2), 70–76.
Pao, H.-P., and Kao, T. W. (1974). “Dynamics of establishment of selective withdrawal of a stratified fluid from a line sink.” J. Fluid Mech., 65, 657–688.
Simpson, J. E. (1987). Gravity currents: In the environment and the laboratory, Cambridge University Press, Cambridge, U.K.
Simpson, J. E., and Britter, R. E. (1979). “The dynamics of the head of a gravity current advancing over a horizontal surface.” J. Fluid Mech., 94(3), 477–495.
Sparks, R., Bonnecaze, R., Huppert, H., Lister, J., Hallworth, M., Mader, H., and Phillips, J. (1993). “Sediment-laden gravity currents with reversing buoyancy.” Earth Planet. Sci. Lett., 114(3), 243–257.
Turner, J. S. (1986). “Turbulent entrainment: The development of the entrainment assumption, and its application to geophysical flows.” J. Fluid Mech., 173, 431–471.
Ungarish, M. (2005). “Intrusive gravity currents in a stratified ambient: Shallow water theory and numerical results.” J. Fluid Mech., 535, 287–323.
Ungarish, M., and Huppert, H. E. (2002). “On gravity currents propagating at the base of a stratified ambient.” J. Fluid Mech., 458, 283–301.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 134Issue 9September 2008
Pages: 1191 - 1198

History

Received: Jun 4, 2006
Accepted: Jan 7, 2008
Published online: Sep 1, 2008
Published in print: Sep 2008

Permissions

Request permissions for this article.

Authors

Affiliations

Rocío Luz Fernandez [email protected]
Professor, Hydraulic Dept., National Univ. of Cordoba, Cordoba 5000 Argentina (corresponding author). E-mail: [email protected]
Jörg Imberger, M.ASCE [email protected]
Professor and Chair, Center for Water Research, Univ. of Western Australia, Perth 6009, Australia. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share