The long-term circulation driven by density currents in a two-layer stratified basin

Journal of Fluid Mechanics

Volumn 572, Issue , 2007, Pages 37-58

  Wells, M G ^a,c   Wettlaufer, J S ^a,b  

^a YALE UNIVERSITY   (United States)

^b Yale University   (United States)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; CATCHMENTS; DENSITY (SPECIFIC GRAVITY); OCEAN CURRENTS; HYDRAULIC JUMP; INTERFACES (MATERIALS); TURBULENT FLOW;

FROUDE NUMBER; RICHARDSON NUMBER; TURBULENT HYDRAULIC JUMP;

OCEANOGRAPHY; FLOW OF WATER;

BUOYANCY; CATCHMENTS; DENSITY (SPECIFIC GRAVITY); OCEAN CURRENTS; OCEANOGRAPHY; FLOW OF WATER; HYDRAULIC JUMP; INTERFACES (MATERIALS); TURBULENT FLOW;

BUOYANCY; CIRCULATION; DENSITY CURRENT; ENTRAINMENT; FROUDE NUMBER; HALOCLINE; RICHARDSON NUMBER; STRATIFIED FLOW; TURBULENT FLOW; EXPERIMENTAL STUDY; LONG-TERM CHANGE; OCEAN BASIN; OCEANIC CIRCULATION; OCEANIC CURRENT; STRATIFICATION; THEORETICAL STUDY;

ARCTIC; ARCTIC OCEAN;

DENSITY CURRENTS; FROUDE NUMBER; INTERFACIAL DENSITY DIFFERENCE; RICHARDSON NUMBER;

EID: 33846557404     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006003478     Document Type: Article

References (69)

1. Aagaard, K. & Greisman, P. 1975 Toward new mass and heat budgets for the Arctic Ocean. J. Geophys. Res. 80, 3821-3827.
2. Aagaard, K., Coachman, L. K. & Carmack, E. C. 1981 On the halocline of the Arctic Ocean. Deep-Sea Res. 28, 529-545.
3. Baines, P. G. 1995 Topographic effects in fluids. Cambridge University Press.
4. Baines P. G. 2001 Mixing in flows down gentle slopes into stratified environments. J. Fluid Mech. 443, 237-270.
5. Baines, P. G. 2005 Mixing regimes for the flow of dense fluid down slopes into stratified environments. J. Fluid Mech. 538, 245-267.
6. Baines, W. D. 1975 Entrainment by a plume or jet at a density interface. J. Fluid Mech. 68, 309-320.
7. Baines, W. D. & Turner, J. S. 1969 Turbulent buoyant convection from a source in a confined region. J. Fluid. Mech. 37, 51-80.
8. Baringer, M. O. & Price, J. F. 1999 A review of the physical oceanography of the Mediterranean outflow. Marine Geol. 155, 63-82.
9. Björk, G. 1989 A one dimensional time dependent model for the vertical stratification of the upper Arctic Ocean. J. Phys. Oceanogr. 19, 52-67.
10. Briggs, G. A. 1969 Plume rise. US Atomic Energy Commision Critical Review Series TID-25075.
11. Britter, R. F. & Linden, P. F. 1980 The motion of the front of a gravity current travelling down an incline. J. Fluid Mech. 99, 531-543.
12. Bush, J. W. M. & Woods, A. W. 1999 Vortex generation by line plumes in a rotating stratified fluid. J. Fluid Mech. 388, 289-313.
13. Cardoso, S. S. S. & Woods, A. W. 1993 Mixing by a turbulent plume in a confined stratified region. J. Fluid Mech. 250, 277-305.
14. Carmack, E. C. 2000 The Arctic Oceans's freshwater budget: Sources, sinks and export. In The Freshwater Budget of the Arctic Ocean (ed. E. L. Lewis, E. P. Jones, P. Lemke, T. D. Prowse, & P. Wadhams), pp. 91-126. Kluwer.
15. Carmack, E. C. & Chapman, D. C. 2003 Wind driven shelf/basin exchange on an Arctic shelf. The joint roles of ice cover extent and shelf-break bathymetry. Geophys. Res. Lett. 30, 1778, doi:10.1029/2003GL017755.
16. Caulfield, C. & Woods, A. W. 1998 Turbulent gravitational convection from a point source in a non-uniformly stratified environment. J. Fluid Mech. 360, 229-248.
17. Cenedese, C., Whitehead, J. A., Ascarelli, T. A. & Ohiwa, M. 2004 A dense current flowing down a sloping bottom in a rotating fluid. J. Phys. Oceanogr. 34, 188-203.
18. Chao, S. Y. & Shaw, P. T. 2003 A numerical study of dense water outflows and halocline anticyclones in an Arctic barocline slope current. J. Geophys. Res. 108, 3226, doi:10.1029/2002JC001473.
19. Chapman, D. C. 1997 A note on isolated convection in a rotating two layer fluid. J. Fluid Mech. 348, 319-325.
20. Ching, C. Y., Fernando, H. J. S. & Noh, Y. 1993 Interaction of a negatively buoyant line plume with a density interface. Dyn. Atmos. Oceans 19, 367-388.
21. Chow, V. T. 1959 Open-Channel Hydraulics, McGraw-Hill.
22. Coachman, L. K. & Aagaard, K. 1988 Transports through Bering Strait; annual and inter-annual variability. J. Geophys. Res. 93, 15 535-15 539.
23. Cotel, A. J. & Breidenthal, R. E. 1997 Jet detrainment at a stratified interface. J. Geophys. Res. 102, 23 813-23 818.
24. Cotel, A. J., Gjestvang, J. A., Ramkhelawan, N. N. & Breidenthal, R. E. 1997 Laboratory experiments of a jet impinging on a stratified interface. Exps. Fluids 23, 155-160.
25. Ellison, T. H. & Turner, J. S. 1959 Turbulent entrainment in stratified flows. J. Fluid Mech. 6, 423-448.
26. Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J. & Brooks, N. H. 1979 Mixing in Coastal and Inland Waters. Academic.
27. Gascard, J. C., Watson, A. J., Messias, M., Olsson, K. A., Johannessen, T. & Simonsenk, K. 2002 Long lived vortices as a mode of deep ventilation in the Greenland Sea. Nature 416, 525-527.
28. Gawarkiewicz, G. & Chapman, D. C. 1995 A numerical study of dense water formation and transport on a shallow, sloping continental shelf. J. Geophys. Res. 100, 4489-4507.
29. Hamblin, P. F. & Carmack, E. C. 1978 River induced currents in a Fjord lake. J. Geophys. Res. 83, 885-899.
30. Hebbert, B., Imberger, J., Loh, I. & Patterson, J. 1979 Collie river underflow into the Wellington reservoir. J. Hydraul. Div. ASCE 105, 533-545.
31. Hughes, G. O. & Griffiths, R. W. 2006 A simple convective model of the global overturning circulation, including effects of entrainment into sinking regions. Ocean Model. 12, 46-79.
32. Hunkins, K. & Whitehead, J. A. 1992 Laboratory simulation of exchange through Fram Strait. J. Geophys. Res. 97, 11 299-11 321.
33. Imberger, J. & Hamblin, P. F. 1982 Dynamics of lakes, reservoirs, and cooling ponds. Annu. Rev. Fluid. Mech. 14, 153-187.
34. Kikuchi, T., Hatakeyama, K. & Morison, J. H. 2004 Distribution of convective Lower Halocline Water in the eastern Arctic Opean. J. Geophys. Res. 109, C12030, doi:10.1029/2003JC002223.
35. Killworth, P. D. 1977 Mixing on the Weddell Sea continential slope. Deep-Sea Res, 24, 427-148.
36. Killworth, P. D. & Carmack, E. C. 1979 A filling box model of river dominated lakes. Limnol. Oceanogr. 24, 201-217.
37. Kneller, B. C., Bennett, S. J. & McCaffrey, W. D. 1999 Velocity structure, turbulence and fluid stresses in experimental gravity currents. J. Geophys. Res 104, 5381-5391.
38. Kulkarni, A. C., Murphy, F. & Manohar, S. S. 1993 Interaction of buoyant plumes with two-layer stably stratified media. Expl Thermal Fluid Sci. 7, 241-248.
39. Kumagai, M. 1984 Turbulent buoyant convection from a source in a confined two-layered region. J. Fluid Mech. 147, 105-131.
40. Manins, P. C. & Turner, J. S. 1978 The relation between flux ratio and energy ratio to in convectively mixed-layers. Q. J. R. Met. Soc. 104, 3944.
41. Marino, B. M., Thomas, L. P. & Linden, P. F. 2005 The front condition for gravity currents. J. Fluid Mech. 536, 49-78.
42. Maxworthy, T. & Narimousa, S. 1994 Unsteady, turbulent convection into a homogeneous, rotating fluid, with oceanographic applications. J. Phys. Oceanogr. 24, 865-887.
43. Melling, H. & Lewis, E. L. 1982 Shelf drainage flows in the Beaufort Sea and their effect on the Arctic Ocean pycnocline. Deep-Sea Res. 29, 967-985.
44. Monaghan, J. J., Cas, R. A. F., Kos, A. M. & Hallworth, M. A. 1999 Gravity currents descending a ramp in a stratified tank. J. Fluid Mech. 379, 39-70.
45. Morison, J. H., Aagaard, K. & Steele, M. 2000 Recent environmental changes in the Arctic: A review. Arctic 53, 359-371.
46. Morton, B. R., Taylor, G. I. & Turner, J. S. 1956 Turbulent gravitational convection from maintained and instantaneous sources. Proc. R. Soc. Lon. A 234, 1-32.
47. Narimousa, S. 1996 Penetrative turbulent convection into a rotating two layer fluid. J. Fluid Mech. 321, 299-313.
48. Noh, Y., Fernando, H. J. S. & Ching, C. Y. 1992 Flows induced by the impingement of a two-dimensional thermal on a density interface. J. Phys. Oceanogr. 22, 1207-1222.
49. Polyakov, I., Walsh, D., Dmitrenko, I., Colony, R. & Timokhov, L. A. 2003 Arctic Ocean variability derived from historical observations. Geophys. Res. Lett. 30, doi:10.1029/2001GL016441.
50. Proshutinsky, A., Bourke, R. H. & McLaughlin, F. A. 2002 The role of the Beaufort Gype in Arctic climate variability: Seasonal to decadal climate scales. Geophys. Res. Lett. 29, doi:10.1029/2001GL015847.
51. Roach, A. T., Aagaard, K. & Carsey, F. D. 1993 Coupled ice-ocean variability in the Greenland Sea. Atmos.-Ocean 31, 319-337.
52. Rudels, B., Anderson, L. & Jones, E. 1996 Formation and evolution of the surface mixed-layer and Halocline of the Arctic Ocean. J. Geophys. Res. 101, 8807-8822.
53. Shin, J. O., Dalziel, S. B. & Linden, P. F. 2004 Gravity currents produced by lock exchange. J. Fluid Mech. 521, 1-34.
54. Steele, M. & Boyd, T. 1998 Retreat of the cold halocline layer in the Arctic Ocean. J. Geophys. Res. 103, 10419-10435.
55. Stigebrandt, A. 1981 A model for the thickness and salinity of the upper layer in the Arctic Ocean and the relationship between the ice thickness and some external parameters. J. Phys. Oceanogr. 11, 1407-1422.
56. Stommel, H. 1958 The abyssal circulation. Deep-Sea Res. 5, 80-82.
57. Sukru, B., Ozsoy, E. & Unluata, U. 1993 Filling of the Marmara Sea by the Dardanelles lower layer inflow. Deep-Sea Res. 40, 1815-1838.
58. Taylor, G. I. 1948 Dynamics of a mass of hot gas rising in air. USAEC Rep. MDDC-919 (LADC-276), Los Alamos Scientific Laboratory, National Technical Information Service, Springfield, VA.
59. Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.
60. Turner, J. S. 1986 Turbulent entrainment - the developement of the entrainment assumption and its application to geophysical flows. J. Fluid. Mech. 173, 431-471.
61. Untersteiner, N. 1988 On the ice and heat balance in Fram Strait. J. Geophys. Res. 93, 527-531.
62. Wahlin, A. K. & Cenedese, C. 2006 How entraining density currents influence the ocean stratification in a one-dimensional ocean basin. Deep-Sea Res. II 53, 172-193.
63. Wallace, R. B. & Sheff, B. 1987 Two-dimensional buoyant-jets in two-layer ambient fluid. J. Hydaulic Engng ASCE 113, 992-1005.
64. Wells, M. G. & Sherman, B. 2001 Stratification produced by surface cooling in lakes with significant shallow regions. Limnol. Oceanogr. 46, 1747-1759.
65. Wells, M. G. & Wettlaufer, J. S. 2005 Two-dimensional density currents in confined basins. Geophys. Astrophys. Fluid Dyn. 99, 199-218.
66. Whitehead, J. A. 1993 A laboratory model of cooling over the continental shelf. J. Phys. Oceanogr. 23, 2412-2427.
67. Worster, M. G. & Huppert, H. E. 1983 Time-dependent density profiles in a filling box. J. Fluid. Mech. 132, 457-166.
68. Wright, S. J. & Wallace, R. B. 1979 Two-dimensional buoyant jets in stratified fluid. J. Hydraul. Div. ASCE 105, 1393-1406.
69. 18 and Alkalinity (1929-2002 AD). J. Geophys. Res. 110, doi:10.1029/ 2004JC002793.