The non-Boussinesq lock-exchange problem. Part 1. Theory and experiments

Journal of Fluid Mechanics

Volumn 537, Issue , 2005, Pages 101-124

  Lowe, Ryan J ^a,b   Rottman, James W ^a   Linden, P F ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DENSITY OF LIQUIDS; HYDRAULICS; MATHEMATICAL MODELS; SODIUM COMPOUNDS; WATER;

NON BOUSSINESQ LOCK EXCHANGE PROBLEM; SODIUM IODIDE;

CHANNEL FLOW;

FLUID DYNAMICS;

EID: 23944524096     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112005005069     Document Type: Article

References (25)

1. Baines, P. G. 1995 Topographic Effects in Stratified Flows. Cambridge University Press.
2. Baines, W. D., Rottman, J. W. & Simpson, J. E. 1985 The motion of constant-volume air cavities released in long horizontal tubes. J. Fluid Mech. 161, 313-327.
3. Barr, D. I. H. 1967 Densimetric exchange flows in rectangular channels. Houille Blanche 22, 619-631.
4. Benjamin, T. B. 1968 Gravity currents and related phenomena. J. Fluid Mech. 31, 209-248.
5. Birman, V., Martin, J. E. & Meiburg, E. 2005 The non-Boussinesq lock-exchange problem. Part 2. High-resolution simulations. J. Fluid Mech. 537, 125-144.
6. Chu, V. H. & Baddour, R. E. 1977 Surges, waves and mixing in two-layer density stratified flow. Proc. 17th Congr. Intl. Assocn. Hydraul. Res. vol. 1, 303-310.
7. Daly, B. J. & Pracht, W. E. 1968 Numerical study of density-current surges. Phys. Fluids 11, 15-30.
8. Gardner, G. C. & Crow, I. G. 1970 The motion of large bubbles in horizontal channels. J. Fluid Mech. 43, 247-255.
9. Gröbelbauer, H. P., Fanneløp, T. K. & Britter, R. E. 1993 The propagation of intrusion fronts of high density ratios. J. Fluid Mech. 250, 669-687.
10. 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 for slip and no-slip boundaries. J. Fluid Mech. 418, 189-212.
11. Huppert, H. E. & Simpson, J. E. 1980 The slumping of gravity currents. J. Fluid Mech. 99, 785-799.
12. Keller, J. J. & Chyou, Y.-P. 1991 On the hydraulic lock exchange problem. J. Appl. Math. Phys. 42, 874-909.
13. Keulegan, G. H. 1958 The motion of saline fronts in still water. Natl Bur. Stand. Rep. 5813.
14. Klemp, J. B., Rotunno, R. & Skamarock, W. C. 1994 On the dynamics of gravity currents in a channel. J. Fluid Mech. 269, 169-198.
15. Klemp, J. B., Rotunno, R. & Skamarock, W. C. 1997 On the propagation of internal bores. J. Fluid Mech. 331, 81-106.
16. Lane-Serff, G. F., Beal, L. M. & Hadfield, T. D. 1995 Gravity current flow over obstacles. J. Fluid Mech. 292, 39-53.
17. Lane-Serff, G. F. & Woodward, M. D. 2001 Internal bores in two-layer exchange flows over sills. Deep-Sea Res. 1 48, 63-78.
18. Rottman, J. W. & Linden, P. F. 2001 Gravity currents. In Stratified Flows in the Environment (ed. R. H. J. Grimshaw), pp. 87-117. Kluwer.
19. Rottman, J. W. & Simpson, J. E. 1983 Gravity currents produced by instantaneous releases of a heavy fluid in a rectangular channel. J. Fluid Mech. 135, 95-110.
20. Shin, J. O., Dalziel, S. B. & Linden, P. F. 2004 Gravity currents produced by lock exchange. J. Fluid Mech. 521, 1-34.
21. 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, 477-495.
22. Wilkinson, D. L. 1982 Motion of air cavities in long horizontal ducts. J. Fluid Mech. 118, 109-122.
23. Wood, I. R. & Simpson, J. E. 1984 Jumps in layered miscible fluids. J. Fluid Mech. 140, 329-342.
24. Yih, C. S. 1965 Dynamics of Nonhomogeneous Fluids. Macmillan.
25. Yih, C. S. & Guha, C. R. 1955 Hydraulic jump in a fluid system of two layers. Tellus 7, 358-366.