Experimental and large eddy simulation results for the purging of salt water from a cavity by an overflow of fresh water

International Journal of Heat and Mass Transfer

Volumn 48, Issue 2, 2005, Pages 341-359

  Kirkpatrick, M P ^a,b   Armfield, S W ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

^b UNIVERSITY OF TASMANIA   (Australia)

Author keywords

Density interface, turbulent entrainment; Large eddy simulation; Purging; Stratified flow

Indexed keywords

COMPUTER SIMULATION; HEAT TRANSFER; MASS TRANSFER; MATHEMATICAL MODELS; NUMERICAL ANALYSIS;

EDDY SIMULATIONS; SQUARE CAVITY;

SALINE WATER;

CAVITY; LARGE EDDY SIMULATION; MATHEMATICAL ANALYSIS; MODEL; SALT SOLUTION;

EID: 9444254016     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2004.08.016     Document Type: Article

References (36)

1. W.D. Smyth, J.N. Mourn, Anisotropy of turbulence in stably stratified mixing layers, Phys. Fluids 12 (6).(2000) 1343-1362.
2. W.D. Smyth, J.N. Mourn, Length scales of turbulence in stably stratified mixing layers, Phys. Fluids 12 (6) (2000) 1327-1342.
3. H.J.S. Fernando, J.C.R. Hunt, Turbulence, waves and mixing at shear-free density interfaces. Part 1. A theoretical model, J. Fluid Mech. 347 (1997) 197-234.
4. J.L. McGrath, H.J.S. Fernando, J.C.R. Hunt, Turbulence, waves and mixing at shear-free density interfaces. 2. Laboratory experiments, J. Fluid Mech. 347 (1997) 235-261.
5. MC. Gregg, Dyapycnal mixing in the thermocline: a review, J. Geophys. Res. - Oceans 92 (C5) (1987) 5249-5286.
6. H.J.S. Fernando, Turbulent mixing in stratified fluids, Ann. Rev. Fluid Mech. 23 (1991) 455-493.
7. D.R. Caldwell, J.N. Moum, Turbulence and mixing in the ocean, Rev. Geophys. 33 (pt. 2) (1995) 1385-1394.
8. J. Riley, M. Lelong, Fluid motions in the presence of strong stable stratification, Ann. Rev. Fluid Mech. 32 (2000) 613-657.
9. J.R. Anderson, A.K. Morrison, Environmental flow studies for the Wimera, Victoria, Tech. Rep. Series Nos. 73-78, Arthur Rylah Institute for Environmental Research, Department of Conservation, Forests and Lands, Victoria, Australia, 1989.
10. J.T. McGuckin, Environmental considerations of salinity in the Goulbourn river downstream of Shepparton, Tech. Rep. Series Nos. 118, Arthur Rylah Institute for Environmental Research, Department of Conservation, Forests and Lands, Victoria, Australia, 1991.
11. M. Gill, Hydromechanics of mining pits in erodible bed under steady flow, ASCE J. Hydr. Eng. 120 (1994) 337-348.
12. P. Prinos, V. Dermissis, Interfacial resistance and mixing in stratified channel flows, in: 4th Int. Symp. on Stratified Flows, Grenoble, France, June 29-July 2, 1994.
13. G. Abraham, in: Turbulence and Mixing in Stratified Tidal Flows, Physical Processes in Estuaries, Springer-Verlag, 1988, pp. 149-180.
14. W. Debler, J. Imberger, Flushing criteria in estuarine and laboratory experiments, ASCE J. Hydr. Eng. 122 (12) (1996) 728-734.
15. S.W. Armfield, W. Debler, Purging of density stabilized basins, Int. J. Heat Mass Transfer 36 (1993) 519-530.
16. W. Debler, S.W. Armfield, The purging of saline water from rectangular and trapezoidal cavities by an overflow of sweet water, J. Hydraulic Res. 35 (1997) 43-62.
17. T.J. Craft, N.Z. Ince, B.E. Launder, Recent developments in second moment closure for buoyancy-affected flows, Dyn. Atm. Oceans 23 (1996) 99-114.
18. M.P. Kirkpatrick, A large eddy simulation code for industrial and environmental flows, Ph.D. thesis, The University of Sydney, 2002.
19. J. Smagorinsky, General circulation experiments with the primitive equations, I. The basic experiment, Mon. Weath. Rev. 91 (1963) 99-164.
20. M. Germano, U. Piomelli, P. Moin, W.H. Cabot, A dynamic subgrid-scale eddy viscosity model, Phys. Fluids A 3 (7) (1991) 1760-1765.
21. S.J. Kline, W.C. Reynolds, F.A. Schraub, P.W. Runstadler, The structure of the turbulent boundary layer, J. Fluid Mech. 30 (1967) 741-773.
22. C.R. Smith, S.P. Metzler, The characteristics of low-speed streaks in the near wall region of a turbulent boundary layer, J. Fluid Mech. 129 (1983) 27-54.
23. H. Werner, H. Wengle, Large eddy simulation of turbulent flow over and around a cube in a plate channel, in: F. Durst, R. Friedrich, B.E. Launder, F.W. Schmidt, U. Schumann, J.H. Whitelaw (Eds.), Turbulent Shear Flows 8, Springer-Verlag, 1993, pp. 155-168.
24. B.P. Leonard, Sharp simulation of discontinuities in highly convective steady flow, NASA Technical Memorandum 100240 (1987).
25. M.P. Kirkpatrick, S.W. Armfield, J.H. Kent, A represen-tation of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional Cartesian grid, J. Comp. Phys. 184 (2003) 1-36.
26. M. Breuer, Numerical and modeling influences on large eddy simulations for the flow past a circular cylinder, Int. J. Heat Fluid Flow 19 (1998) 512-521.
27. J. Van Kan, A second order accurate pressure correction scheme for viscous incompressible flow, SIAM J. Sci. Stat. Comput. 7 (1986) 870-891.
28. J.B. Bell, P. Colella, H.M. Glaz, A second-order projection method for the incompressible Navier-Stokes equations, J. Comp. Phys. 85 (1989) 257-283.
29. S.W. Armfield, R. Street, The fractional-step method for the Navier-Stokes equations on staggered grids: the accuracy of three variations, J. Comp. Phys. 153 (1999) 660-665.
30. P. Gresho, On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory, Int. J. Numer. Meth. Fluids (1990) 587-620.
31. M.P. Kirkpatrick, S.W. Armfield, J.H. Kent, T. Dixon, Simulation of vortex-shedding flows using high-order fractional step methods, J. Anziam 42 (E) (2000) 856-876.
32. P.P. Linden, The interaction of vortex rings with a sharp density interface: a model for turbulent entrainment, J. Fluid Mech. 60 (1973) 467-480.
33. W.W. Willmarth, B.J. Tu, Structure of turbulence in the boundary layer near the wall, Phys. Fluids 10 (1967) S134-S137.
34. J.A. Clark, E. Markland, Flow visualization in turbulent boundary layers, J. Hydraul. Div. ASCE 97 (1971) 1635-1664.
35. H. Eckelmann, The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow, J. Fluid Mech. 65 (1974) 439-459.
36. J. Jiménez, P. Moin, The minimal flow unit in nearwall turbulence, J. Fluid Mech. 225. (1991) 213-240.