Double diffusion in oceanography

Annual Review of Fluid Mechanics

Volumn 26, Issue 1, 1994, Pages 255-285

  Schmitt, Raymond W ^a  

^a WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

Author keywords

Convection; Mixing; Ocean microstructure; Salt fingers; Thermohaline circulation

Indexed keywords

EID: 0000147111     PISSN: 00664189     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.fl.26.010194.001351     Document Type: Article

References (127)

1. Baines, P. G., Gill, A. E. 1969. On thermohaline convection with linear gradients. J. Fluid Mech. 37: 289-306
2. Boyd, J. D. 1989. Properties of thermal staircase off the northeast coast of South America, Spring and Fall 1985. J. Geophys. Res. 94: 8303-12
3. Boyd, J. D., Perkins, H. 1987. Characteristics of thermohaline steps off the northeast coast of South America, July 1983. Deep-Sea Res. 34(3): 337-64
4. Elliott, A. J., Howe, M. R., Tait, R. I. 1974. The lateral coherence of a system of thermohaline layers in the deep ocean. Deep-Sea Res. 21:95-107
5. Federov, K. N. 1988. Layer thicknesses and effective diffusivities in "diffusive" thermohaline convection in the ocean. See Nihoul & Jamart 1988, pp. 471-80
6. Fernando, H. J. S. 1987. The formation of layered structure when a stable salinity gradient is heated from below. J. Fluid Mech. 182: 425-42
7. Fluery, M., Lueck, R. G. 1991. Fluxes across a thermohaline staircase. Deep-Sea Res. 38(7): 745-47
8. Fluery, M., Lueck, R. G. 1992. Microstructure in and around a double-diffusive interface. J. Phys. Ocean. 22: 701-18
9. Foster, T. D., Carmack, E. C. 1976. Temperature and salinity structure in the Weddell Sea. J. Phys. Ocean. 6: 36-44
10. Gargett, A. E., Holloway, G. 1992. Sensitivity of the GFDL ocean model to different diffusivities for heat and salt. J. Phys. Ocean. 22(10): 1158-77
11. Gargett, A. E., Schmitt, R. W. 1982. Observations of salt fingers in the central waters of the eastern North Pacific. J. Geophys. Res. 87(C10): 8017-29
12. Garrett, C. 1982. On the parameterization of diapycnal fluxes due to double-diffusive intrusions. J. Phys. Ocean. 12: 952-59
13. Greengrove, C. L., Rennie, S. E. 1991. South Atlantic density ratio distribution. Deep-Sea Res. 38: 345-54 (Suppl. 1)
14. Gregg, M. C. 1980. The three-dimensional mapping of a small thermohaline intrusion. J. Phys. Ocean. 10: 1468-92
15. Gregg, M. C. 1989. Scaling turbulent dissipation in the thermocline. J. Geophys. Res. 94(C7): 9686-98
16. Gregg, M. C., McKenzie, J. H. 1979. Thermohaline intrusions lie across isopycnals. Nature 280: 310-11
17. Gregg, M. C., Sanford, T. B. 1987. Shear and turbulence in thermohaline staircases. Deep-Sea Res. 34: 1689-96
18. Hamilton, J. M., Lewis, M. R., Ruddick, B. R. 1989. Vertical fluxes of nitrate associated with salt fingers in the world's oceans. J. Geophys. Res. 94(C2): 2137-45
19. Hamilton, J. M., Oakey, N. S., Kelley, D. E. 1993. Salt finger signatures in microstructure measurements. J. Geophys. Res. 98(C2): 2453-60
20. Hebert, D., 1989. Estimates of salt finger fluxes. Deep-Sea Res. 35(12): 1887-1901
21. Hebert, D., Oakey, N., Ruddick, B. R. 1990. Evolution of a Mediterranean salt lens. J. Phys. Ocean. 20: 1468-83
22. Hoare, R. A. 1966. Problems of heat transfer in Lake Vanda, a density stratified Antarctic lake. Nature 210: 787-89
23. Holloway, G., Gargett, A. 1987. The inference of salt fingering from towed microstructure observations. J. Geophys. Res. 11: 1963-65
24. Huppert, H. E., Linden, P. F. 1979. On heating a stable salinity gradient from below. J. Fluid Mech. 95:431-64
25. Ingham, M. C. 1966. The salinity extrema of the world ocean. PhD dissertation. Oregon State Univ., Corvallis
26. Jevons, W. S. 1857. On the cirrous form of cloud. London, Edinburgh, Dublin Philos. Maa. J. Sci. Ser. 4, 14(90): 22-35
27. Johannessen, O. M., Lee, O. S. 1974. Thermohaline staircase structure in the Tyrrhenian Sea. Deep-Sea Res. 21: 629-39
28. Joyce, T. M. 1977. A note on the lateral mixing of water masses. J. Phys. Ocean. 7: 626-29
29. Joyce, T. M., Zenk, W., Toole, J. M. 1978. The anatomy of the Antarctic Polar Front in the Drake Passage. J. Geophys. Res. 83: 6093-6113
30. Kelley, D. E. 1984. Effective diffusivities within ocean thermohaline staircases. J. Geophys. Res. 89: 10,484-88
31. Kelley, D. E. 1988. Explaining effective diffusivities within diffusive staircases. See Nihoul & Jamart 1988, pp. 481-502
32. Kelley, D. E. 1990. Fluxes through diffusive staircases: a new formulation. J. Geophys. Res. 95: 3365-71
33. Kunze E. 1987. Limits on growing, finite length salt fingers: a Richardson number constraint. J. Mar. Res. 45: 533-56
34. Kunze, E. 1990. The evolution of salt fingers in inertial wave shear. J. Mar. Res. 48: 471-504
35. Kunze, E., Williams, A. J. III, Schmitt, R. W. 1987. Optical microstructure in the thermohaline staircase east of Barbados. Deep-Sea Res. 34(10): 1697-704
36. Lambert, R. B., Demenkow, J. W. 1972. On the vertical transport due to fingers in double diffusive convection. J. Fluid Mech. 54: 627-40
37. Lambert, R. B., Sturges, W. 1977. A thermohaline staircase and vertical mixing in the thermocline. Deep-Sea Res. 24: 211-22
38. Lee, J. H., Veronis, G. 1991. On the difference between tracer and geostrophic velocities obtained from C-SALT data. Deep-Sea Res. 38: 555-68
39. Levine, M. D., Paulson, C. A., Morison, J. H. 1987. Observations of internal gravity waves under the Arctic pack ice. J. Geophys. Res. 92: 779-82
40. Linden, P. F. 1974a. Salt fingers in a steady shear flow. Geophys. Fluid Dyn. 6: 1-27
41. Linden, P. F. 1974b. A note on the transport across a diffusive interface. Deep-Sea Rex. 21: 283-87
42. Linden, P. F., Shirtcliffe, T. G. F. 1978. The diffusive interface in double-diffusive convection. J. Fluid Mech. 87: 417-32
43. Lueck, R. 1987. Microstructure measurements in a thermohaline staircase. Deep-Sea Res. 34(10): 1677-88
44. Mack, S. A. 1985. Two-dimensional measurements of ocean microstructure: the role of double diffusion. J. Phys. Ocean. 15: 1581-1604
45. Mack, S. A. 1989. Towed chain measurement of ocean microstructure. J. Phys. Ocean. 19(8): 1108-29
46. Mack, S. A., Schoeberlein, H. C. 1993. Discriminating salt fingering from turbulence-induced microstructure: analysis of towed temperature-conductivity chain data. J. Phys. Ocean. 23(9): 2073-106
47. Magnell, B. 1976. Salt fingers observed in the Mediterranean outflow region (34°N, 11°W) using a towed sensor. J. Phys. Ocean. 6: 511-23
48. Marmorino, G. O. 1987. Observations of small-scale mixing processes in the seasonal thermocline. Part I: Salt fingering. J. Phys. Ocean. 17: 1339-47
49. Marmorino, G. O. 1990. "Turbulent mixing" in a salt-finger staircase. J. Geophys. Res. 95: 12,983-94
50. Marmorino, G. O. 1991. Intrusions and diffusive interfaces in a salt fingering staircase. Deep-Sea Res. 38: 1431-54
51. Marmorino, G. O., Brown, W. K., Morris, W. D. 1987. Two-dimensional temperature structure in the C-SALT thermohaline staircase. Deep-Sea Res. 23(10): 1667-75
52. Marmorino, G. O., Caldwell, D. R. 1976. Heat and salt transport through a diffusive thermohaline interface. Deep-Sea Res. 23: 59-67
53. Marmorino, G. O., Greenewalt, D. 1988. Inferring the nature of microstructure signals. J. Geophys. Res. 93: 1219-25
54. Mazeika, P. A. 1974. Subsurface mixed layers in the northwest tropical Atlantic. J. Phys. Ocean. 4: 446-53
55. McDougall, T. J. 1981. Double-diffusive convection with a nonlinear equation of state. II. Laboratory experiments and their interpretation. Prog. Ocean. 10: 91-121
56. McDougall, T. J. 1985a. Double-diffusive interleaving. Part I: Linear stability analysis. J. Phys. Ocean. 15: 1532-41
57. McDougall, T. J. 1985b. Double-diffusive interleaving. Part II: Finite amplitude steady state interleaving. J. Phys. Ocean. 15: 1542-56
58. McDougall, T. J. 1986. Oceanic intrusions: some limitations of the Ruddick and Turner (1979) mechanism. Deep-Sea Res. 33: 1653-64
59. McDougall, T. J. 1988. Some implications of ocean mixing for ocean modelling. See Nihoul & Jamart 1988, pp. 21-36
60. McDougall, T. J. 1991. Interfacial advection in the thermohaline staircase east of Barbados. Deep-Sea Res. 38(3): 367-70
61. McDougall, T. J., Ruddick, B. R. 1992. The use of ocean microstructure to quantify both turbulent mixing and salt fingering. Deep-Sea Res. 39: 1931-52
62. McIntyre, M. E. 1970. Diffusive destabilization of the baroclinic vortex. Geophys. Fluid Dyn. 1: 19-57
63. Middleton, J. H., Foster, T. D. 1980. Finestructure measurements in a temperaturecompensated halocline. J. Geophys. Res. 85: 1107-22
64. Molcard, R., Tait, R. I. 1977. The steady state of the step structure in the Tyrrhenian Sea. In A Voyage of Discovery, George Deacon 70th Anniv. Vol., ed. M. V. Angel. Deep-Sea Res. 38: 221-33 (Suppl.)
65. Molcard, R., Williams, A. J. 1975. Deep-stepped structure in the Tyrrhenian Sea. Mem. Soc. R. Sci. Liege 6: 191-210
66. Muench, R. D., Fernando, H. J. S., Stegan, G. R. 1990. Temperature and salinity staircases in the northwestern Weddell Sea. J. Phys. Ocean. 20: 295-306
67. Neal, V. T., Neshyba, S., Denner, W. 1969. Thermal stratification in the Arctic Ocean. Science 166: 373-74
68. Neshyba, S., Neal, V. T., Denner, W. 1971. Temperature and conductivity measurements under Ice Island T-3. J. Geophys. Res. 76: 8107-20
69. Nield, D. A. 1967. The thermohaline Rayleigh-Jeffries problem. J. Fluid Mech. 29: 545-58
70. Nihoul, J., Jamart, B., eds. 1988. Small-Scale Turbulence and Mixing in the Ocean, Elsevier Oceanogr. Ser. Vol. 46. New York: Elsevier
71. Niino, H. 1986. A linear stability theory of double-diffusive horizontal intrusions in a temperature-salinity front. J. Fluid Mech. 171: 71-100
72. Oakey, N. S. 1985. Statistics of mixing parameters in the upper ocean during JASIN phase 2. J. Phys. Ocean. 10: 83-89
73. Osborn, T. R. 1980. Estimates of the local rate of vertical diffusion from dissipation measurements. J. Phys. Ocean. 10: 83-89
74. Osborn, T. R. 1991. Observations of the Salt Fountain. Atmos.-Oceans 29(2): 340-56
75. Osborn, T., Cox, C. S. 1972. Oceanic fine structure. Geophys. Fluid Dyn. 3: 321-45
76. Padman, L. 1991. Diffusive-convective staircases in the Arctic Ocean. In Double-diffusion in Oceanography: Proc. of a Meeting. Woods Hole Oceanogr. Inst. Tech. Rep. WHOI-91-200: 161-72
77. Padman, L., Dillon, T. M. 1987. Vertical fluxes through the Beaufort sea thermohaline staircase. J. Geophvs. Res. 92: 10,799-806
78. Padman, L., Dillon, T. J. 1988. On the horizontal extent of the Canada Basin thermohaline steps. J. Phys. Ocean. 18: 1458-62
79. Padman, L., Dillon, T. M. 1989. Thermal microstructure and internal waves in the Canada Basin diffusive staircase. Deep-Sea Res. 36: 531-42
80. Posmentier, E. S., Hibbard, C. B. 1982. The role of tilt in double-diffusive interleaving. J. Geophys. Res. 87: 518-24
81. Posmentier, E. S., Kirwan, A. D. 1985. The role of double-diffusive interleaving in mesoscale dynamics: an hypothesis. J. Mar. Res. 43: 541-52
82. Proctor, M. R. E., Holyer, J. Y. 1986. Planform selection in salt fingers. J. Fluid Mech. 168: 241-53
83. Rayleigh, Lord 1883. Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc. London Math. Soc. 14: 170-77
84. Richards, K. J. 1991. Double-diffusive interleaving at the equator. J. Phys. Ocean. 21(7): 933-38
85. Ruddick, B. 1984. The life of a thermohaline intrusion. J. Mar. Res. 42: 831-52
86. Ruddick, B. 1992. Intrusive mixing in a Mediterranean salt lens: intrusion slopes and dynamical mechanisms. J. Phys. Ocean. 22: 1274-85
87. Ruddick, B. R., Turner, J. S. 1979. The vertical length scale of double-diffusive intrusions. Deep-Sea Res. 26A: 903-13
88. Schmitt, R. W. 1979a. The growth rate of super-critical salt fingers. Deep-Sea Res. 26A: 23-W
89. Schmitt, R. W. 1979b. Flux measurements on salt fingers at an interface. J. Mar. Res. 37: 419-436
90. Schmitt, R. W. 1981. Form of the temperature-salinity relationship in the Central Water: evidence for double-diffusive mixing. J. Phys. Ocean. 11: 1015-26
91. Schmitt, R. W. 1983. The characteristics of salt fingers in a variety of fluid systems, including stellar interiors, liquid metals, oceans and magmas. Phys. Fluids 26: 2373-77
92. Schmitt, R. W. 1988. Mixing in a thermohaline staircase. See Nihoul & Jamart 1988, pp. 435-52
93. Schmitt, R. W. 1990. On the density ratio balance in the Central Water. J. Phys. Ocean. 20(6): 900-6
94. Schmitt, R. W. 1993. Triangular and asymmetric salt fingers. J. Phys. Ocean. In press
95. Schmitt, R. W., Evans, D. L. 1978. An estimate of the vertical mixing due to salt fingers based on observations in the North Atlantic Central Water. J. Geophys. Res. 83: 2913-19
96. Schmitt, R. W., Georgi, D. T. 1982. Finestructure and microstructure in the North Atlantic Current. J. Mar. Res. 40: 659-705 (Suppl.)
97. Schmitt, R. W., Lueck, R. G., Joyce, T. M. 1986. Fine- and micro-structure at the edge of a warm core ring. Deep-Sea Res. 33: 1665-89
98. Schmitt, R. W., Perkins, H. Boyd, J. D., Stalcup, M. C. 1987. C-SALT: an investigation of the thermohaline staircase in the western tropical North Atlantic. Deep-Sea Res. 34(10): 1697-1704
99. Schmitt, R. W., Toole, J. M. Koehler, R. L., Mellinger, E. C., Doherty, K. W. 1988. The development of a fine- and microstructure profiler. J. Atmos. Ocean. Tech. 5(4): 484-500
100. Shen, C. Y., 1989. The evolution of the double-diffusive instability: salt fingers. Phys. Fluids A1(5): 829-44
101. Shirtcliffe, T. G. L 1967. Thermosolutal convection: observation of an overstable mode. Nature 213: 489-90
102. Shirtcliffe, T. G. L., Turner, J. S. 1970. Observations of the cell structure of salt fingers. J. Fluid Mech. 41: 707-19
103. Stern, M. E. 1960. The "salt fountain" and thermohaline convection. Tellus 12: 172-75
104. Stern, M. E. 1967. Lateral mixing of water masses. Deep-Sea Res. 14: 747-53
105. Stern, M. E. 1975. Ocean Circulation Physics. New York: Academic
106. Stern, M. E., Turner, J. S. 1969. Salt fingers and convecting layers. Deep-Sea Res. 16: 497-511
107. Stommel, H. M. 1993. A conjectural regulating mechanism for determining the thermohaline structure of the oceanic mixed layer. J. Phys. Ocean. 23(1): 142-48
108. Stommel, H. M., Arons, A. B., Blanchard, D. 1956. An oceanographic curiosity: the perpetual salt fountain. Deep-Sea Res. 3: 152-53
109. Swallow, J. C., Crease, J. 1965. Hot salty water at the bottom of the Red Sea. Nature 205: 165-66
110. Tait, R. I., Howe, M. R. 1968. Some observation of thermo-haline stratification in the deep ocean. Deep-Sea Res. 15: 275-80
111. Taylor, J. 1991. Laboratory experiments on the formation of salt fingers after the decay of turbulence. J. Geophys. Res. 96(C7): 12,497-510
112. Toole, J. M. 1981a. Intrusion characteristics in the Antarctic Polar Front. J. Phys. Ocean. 11: 780-93
113. Toole, J. M. 1981b. Anomalous characteristics of equatorial thermohaline finestructure. J. Phys. Ocean. 11(6): 871-76
114. Toole, J. M., Georgi, D. T. 1981. On the dynamics and effects of double-diffusively driven intrusions. Prog. Oceanogr. 10: 123-45
115. Turner, J. S. 1965. The coupled turbulent transports of salt and heat across a sharp density interface. Int. J. Heat Mass Transport 8: 759-67
116. Turner, J. S. 1968. The behaviour of a stable salinity gradient heated from below. J. Fluid Mech. 33: 183-200
117. Turner, J. S. 1978. Double-diffusive intrusions into a density gradient. J. Geophys. Res. 83: 2887-2901
118. Turner, J. S. 1985. Multicomponent convection. Annu. Rev. Fluid Mech. 17: 11-44
119. Turner, J. S., Stommel, H. 1964. A new case of convection in the presence of combined vertical salinity and temperature gradients. Proc. Natl. Acad. Sci. 52: 49-53
120. Veronis, G. 1965. On finite amplitude instability in thermohaline convection. J. Mar. Res. 23: 1-17
121. Veronis, G. 1968. Effect of a stabilizing gradient of solute on thermal convection. J. Fluid Mech. 34: 315-36
122. Walin, G. 1964. Note on the stability of water stratified by both salt and heat. Tellus 16: 389-93
123. Williams, A. J. 1974. Salt fingers observed in the Mediterranean outflow. Science 185: 941-43
124. Williams, A. J. 1975. Images of ocean microstructure. Deep-Sea Res. 22: 811-29
125. Williams, A. J. 1981. The role of double-diffusion in a Gulf Stream frontal intrusion. J. Geophys. Res. 86: 1917-28
126. Yoshida, J., Nagashime, H., Niino, H. 1989. The behavior of double-diffusive intrusions in a rotating system. J. Geophys. Res. 94: 4923-37
127. Young, W. R., Rhines, P. B., Garrett, C. J. R. 1982. Shear flow dispersion, internal waves and horizontal mixing in the ocean. J. Phys. Ocean. 12: 515-27