Double diffusive convection in a vertical rectangular cavity

Physics of Fluids

Volumn 9, Issue 8, 1997, Pages 2339-2348

  Ghorayeb, Kassern ^a   Mojtabi, Abdelkader ^a  

^a IMFT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ASPECT RATIO; CALCULATIONS; COMPUTER SIMULATION; ENCLOSURES; FLOW OF FLUIDS; HEAT CONVECTION; NUMERICAL METHODS; NUSSELT NUMBER; PRANDTL NUMBER; STABILITY; THERMAL DIFFUSION;

DIFFUSIVE CONVECTION; DIRECT NUMERICAL SIMULATION; GALERKIN METHOD; GRASHOF NUMBER; LEWIS NUMBER; RAYLEIGH NUMBER;

FLUIDS;

BIFURCATION; CAVITY; DIFFUSION-CONVECTION THEORY;

EID: 0031202495     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869354     Document Type: Article

References (35)

1. R. W. Schmidt, "Double diffusion in oceanography," Annu. Rev. Fluid Mech. 26, 255 (1994).
2. W. R. Wilcox, "Transport phenomena in crystal growth from solution," Prog. Crystal Growth Charact. 26, 153 (1993).
3. J. S. Turner, "Multicomponent convection," Annu. Rev. Fluid Mech. 17, 11 (1985).
4. B. Gebbart, Y. Jalaria, R. L. Mahajan and B. Sammakia, Buoyancy Induced Flows and Transport (Hemisphere, Bristol, PA. 1988).
5. S. A. Thorpe, P. P. Hutt, and R. Soulsby. "The effect of horizontal gradients on thermohaline convection," J. Fluid Mech. 38, 375 (1969).
6. J. Tanny and A. B. Tsinober, "The dynamics and structure of double-diffusive layers to sidewall-heating experiments," J. Fluid Mech. 196, 135 (1988).
7. C. G. Jeevarg and J. Imberger, "Experimental study of double-diffusive instability in the sidewall heating." J Fluid Mech 222, 565 (1991).
8. S. G. Schladow, E. Thomas and J. R. Koseff, "The dynamics of intrusions into a thermohaline stratification," J. Fluid Mech. 236, 127 (1992).
9. J. E. Hart, "On side ways diffusive instability," J. Fluid Mech. 49, 279 (1971).
10. S. Thangam, A. Zebib, and C. F. Chen, "Transition from shear to sideways diffusive instability in a vertical slot," J. Fluid Mech. 112, 151 (1981).
11. J. E. Hart, "Finite amplitude sideways diffusive convection," J. Fluid Mech. 59, 47 (1973).
12. O. S. Kerr, "Heating a salinity gradient from vertical sidewall: linear theory," J. Fluid Mech. 207, 323 (1989).
13. O. S. Kerr, "Heating a salinity gradient from vertical sidewall: Nonlinear theory," J. Fluid Mech. 217, 520 (1990).
14. N. Tsitverblit and E. Kit, "The multiplicity of steady flows in confined double diffusive convection with lateral heating," Phys. Fluids 5, 1062 (1992).
15. N. Tsitverblit, "Bifurcation phenomena in confined thermosolutal convection with lateral heating: Commencement of double-diffusive regime," Phys. Fluids 7, 718 (1995).
16. Y. Kamotani, L. W. Wang, S. Ostrach, and H. D. Jiang, "Experimental study of natural convection in shallow enclosures with horizontal temperature and concentration gradients," Int. J. Heat Mass Transfer 28, 165 (1985).
17. S. Ostrach, H. D. Jiang, and Y. Kamotani, "Thermosolutal convection in shallow enclosures," Proceedings of the ASME/ISME Thermal Engineering Joint Conference 158, 1987 (unpublished).
18. H. D. Jiang, S. Ostrach, and Y. Kamotani, "Thermosolutal convection with opposed buoyancy forces in shallow enclosures," ASME HTD 28, 165 (1988).
19. H. D. Jiang, S. Ostrach, and Y. Kamotani, "Unsteady thermosolutal transport phenomena due to opposed buoyancy forces in shallow enclosures," J. Heat Transfer 113, 135 (1991).
20. J. Lee, M. T. Hyun, and K. W. Kim, "Natural convection in confined fluids with combined horizontal temperature and concentration gradients," Int. J. Heat Mass Transfer 31, 1969 (1988).
21. H. Han and T. H. Kuehn, "Double diffusive natural convection in a vertical rectangular enclosure: I. Experimental study," Int. J. Heat Mass Transfer 34, 449, (1991).
22. J. A. Weaver and R. Viskanta, "Natural convection in binary gases due to horizontal thermal and solutal gradients," J. Heat Mass Transfer 113, 141 (1991).
23. C. Béghein F. Haghighat, and F. Allard, "Numerical study of double-diffusive natural convection in a square cavity," Im J. Heat Mass Transfer 35, 833 (1992).
24. R. L. Mahajan and D. Angirasa, "Combined heat and mass transfer by natural convection with opposing buoyancies," J. Heat Transfer 115, 606 (1993).
25. J. M. Hyun and J. W. Lee, "Double-diffusive convection in rectangle with cooperating horizontal gradients of temperature and concentration," Int. J. Heat Mass Transfer 33, 109 (1990).
26. J. W. Lee and J. M. Hyun, "Double-diffusive convection in a rectangle with opposing horizontal gradients of temperature and concentration," Int. J. Heat Mass Transfer 33, 1619 (1990).
27. H. Han and T. H. Kuehn, "Double diffusive natural convection in a vertical rectangular enclosure: II. Numerical study," Int. J. Heat Mass Transfer 34, 461 (1991).
28. R. Bennacer and D. Gobin, "Cooperating thermosolutal convection in enclosures - I, scale analysis and mass transfer," Int. J. Heat Mass Transfer 39, 2671 (1996).
29. D. Gobin and R. Bennacer, "Cooperating thermosolutal convection in enclosures - II, heat transfer and flow structure," Int. J. Heat Mass Transfer 39, 2683 (1996).
30. T. L. Bergman and M. T. Hyun, "Simulation of two dimentional thermosolutal convection in liquid metals induced by horizontal temperature and species gradients," Int. J. Heat Mass Transfer 39, 2883 (1996).
31. R. Krichnan, "A numerical study of the instability of double diffusive convection in a square enclosure with a horizontal temperature and concentration gradients," ASME National Heat Transfer Conference, Philadelphia 1989 (ASME, New York, 1989), p. 357.
32. D. Gobin and R. Bennacer, "Double diffusion in a vertical fluid layer: Onset of the convective regime," Phys. Fluids 6, 59 (1994).
33. R. G. Drazin and W. H. Reid, Hydrodynamic Stability (Cambridge University, Cambridge, England, 1981).
34. A. Batoul, H. Khallouf and G. Labrosse, "Une méthode de résolution directe (pseudo-spectrale) du problème de Stokes 2D/3D instationnaire. Application à la cavité entrainée carrée," C.R.Acad. Sci. Paris 319, série II, 1455 (1994).
35. H. Khallouf, Thèse de doctorat, Univérsité Paul Sabatier, 1995.