On gravity currents in a linearly stratified ambient: A generalization of Benjamin's steady-state propagation results

Journal of Fluid Mechanics

Volumn 548, Issue , 2006, Pages 49-68

  Ungarish, M ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BUOYANCY; CHANNEL FLOW; DENSITY (SPECIFIC GRAVITY); MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; STEADY FLOW; STREAM FLOW; THERMAL STRATIFICATION; VELOCITY;

FLOW-FORCE BALANCE; GRAVITY CURRENT; STEADY-STATE FLOW; STRATIFIED AMBIENT;

GRAVITY WAVES;

GRAVITY FLOW; STRATIFIED FLOW;

EID: 32044435152     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112005007421     Document Type: Article

References (20)

1. Amen, R. & Maxworthy, T. 1980 The gravitational collapse of a mixed region into a linearly stratified fluid. J. Fluid Mech. 96, 65-80.
2. Baines, P. G. 1995 Topographic Effects in Stratified Flows. Cambridge University Press.
3. Benjamin, T. B. 1968 Gravity currents and related phenomena. J. Fluid Mech. 31, 209-248.
4. Faust, K. M. & Plate, E. J. 1984 Experimental investigation of intrusive gravity currents entering stably stratified fluids. J. Hydraul. Res. 22, 315-325.
5. Härtel, C., Meiburg, E. & Necker, F. 2000 Analysis and direct numerical simulation of the flow at a gravity current head. Part 1. Flow topology and front speed. J. Fluid Mech. 418, 189-212.
6. Huppert, H. E. & Simpson, J. E. 1980 The slumping of gravity currents. J. Fluid Mech. 99, 785-799.
7. Kao, T. W. 1976 Principal stage of wake collapse in a stratified fluid: two-dimensional theory. Phys. Fluids 19, 1071-1074.
8. Klemp, J. B., Rotunno, R. & Skamarock, W. C. 1994 On the dynamics of gravity currents in a channel. J. Fluid Mech. 269, 169-198.
9. Long, R. R. 1953 Some aspects of the flow of stratified fluids. I. A theoretical investigation. Tellus 5, 42-58.
10. Long, R. R. 1955 Some aspects of the flow of stratified fluids. III. Continuous density gradients. Tellus 7, 341-357.
11. Manasseh, R., Ching, C.-Y. & Fernando, H. J. S. 1998 The transition from density-driven to wave-dominated isolated flows. J. Fluid Mech. 361, 253-274.
12. Manins, P. C. 1976 Mixed region collapse in a stratified fluid. J. Fluid Mech. 77, 177-183.
13. Maxworthy, T., Leilich, J., Simpson, J. E. & Meiburg, E. H. 2002 The propagation of gravity currents in a linearly stratified fluid. J. Fluid Mech. 453, 371-394 (referred to as MLSM).
14. de Rooij, F. 1999 Sedimenting particle-laden flows in confined geometries. PhD thesis, DAMTP, University of Cambridge.
15. Shin, J. O., Dalziel, S. B. & Linden, P. F. 2004 Gravity currents produced by lock exchange. J. Fluid Mech. 521, 1-34.
16. Simpson, J. & Britter, R. E. 1979 The dynamics of the head of a gravity current advancing over a horizontal surface. J. Fluid Mech. 94, 477-495.
17. Ungarish, M. 2005 Intrusive gravity currents in a stratified ambient: shallow-water theory and numerical results. J. Fluid Mech. 535, 287-323.
18. Ungarish, M. & Huppert, H. 2002 On gravity currents propagating at the base of a stratified ambient. J. Fluid Mech. 458, 283-301.
19. Ungarish, M. & Huppert, H. 2004 On gravity currents propagating at the base of a stratified ambient: Effects of geometrical constraints and rotation. J. Fluid Mech. 521, 69-104.
20. Wu, J. 1969 Mixed region collapse with internal wave generation in a density-stratified medium. J. Fluid Mech. 35, 531-544.