Convection due to an unstable density difference across a permeable membrane

Journal of Fluid Mechanics

Volumn 609, Issue , 2008, Pages 139-170

  Puthenveettil, Baburaj A ^a   Arakeri, Jaywant H ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; NATURAL CONVECTION; PROBABILITY DENSITY FUNCTION; SHEAR FLOW; SODIUM CHLORIDE;

DENDRITIC STRUCTURES; DENSITY DIFFERENCE; DIFFUSION REGIMES; LARGE-SCALE FLOWS; MODE OF TRANSPORT; PERMEABLE MEMBRANES; SODIUM CHLORIDE (NACL); SQUARE CROSS SECTION;

MEMBRANES;

ADVECTION-DIFFUSION EQUATION; CONVECTION; DENSITY; FLOW VELOCITY; MEMBRANE; PERMEABILITY; PLUME; RAYLEIGH NUMBER; UNSTEADY FLOW;

EID: 48849090892     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008002334     Document Type: Article

References (42)

1. ADRIAN, R. J., FERREIRA, R. T. D. S. & BOBERG, T. 1986 Turbulent thermal convection in wide horizontal fluid layers. Exps. Fluids 4, 121-141.
2. AFZAL, N. & HUSSAIN, T. 1986 Effects of large suction in natural convection boundary layer on a horizontal layer. Warme Stoffubertragung 20, 203-206.
3. BIZON, C., WERNE, J., PREDTECHENSKY, A., JULIEN, K., McCORMICK, W., SWIFT, J. & SWINNEY, H. 1997 Plume dynamics in quasi-2d turbulent convection. Chaos 7, 107-124.
4. BUCH, K. A. & DAHM, W. J. A. 1996 Experimental study ot the tine scale structure of conserved scalar mixing in turbulent shear flows. Part 1. Sc ≥ 1. J. Fluid Mech. 317, 21-71.
5. CHAVANNE, X., CHILLA, F., CHABAUD, B., CASTAING, B. & HEBRAL, B. 2001 Turbulent Rayleigh-Bénard convection in gaseous and liquid He. Phys. Fluids 13 (5), 1300-1320.
6. CLARKE, J. F. & RILEY, N. 1975 Natural convection induced in a gas by the presence of a hot porous horizontal surface. Q.J. Mech. Appl. Maths 28 (4), 375-396.
7. CRIMALDI, J. P. 1997 The effect of photobleaching and velocity fluctuations on single--point LIF measurements. Exps. Fluids 23 325-330.
8. DAHM, W. J. A. & DIMOTAKIS, P. E. 1987 Measurements of entrainment and mixing in turbulent jets. AIAA J. 255, 1216-1223.
9. DEARDORFF, J. W. 1970 Convective velocity and temperature scales for the unstable planetary boundary layer and for Rayleigh convection. J. Atmos. Sci. 27, 1211-1213.
10. DU, Y. & TONG, P. 2000 Turbulent thermal convection in a cell with ordered rough boundaries. J. Fluid Mech. 407, 57-84.
11. FRANK, H. & ALTHOEN, S. C. 2002 Statistics, Concepts and Applications. Cambridge University Press.
12. FUNFSCHILLING, D & AHLERS, G. 2004 Plume motion nnd large scale circulation in n cylindrical Rayleigh-Bénard cell. Phys. Rev. Lett. 92, 194502.
13. GILL, W. N., ZEH, D. W. & CASAL, E. D. 1965 Free convection on a horizontal plate. Z. Angew. Math. Phys. 16, 539-541.
14. GOLDSTEIN, R. J., CHIANG, H. D. & SEE, D. L. 1990 High-Rayleigh-number convection in a horizontal encloure. J. Fluid Mech. 213, 111-126
15. HUSAR, R. B. & SPARROW, E. M. 1968 Patterns of free convection flow adjacent to horizontal heated surfaces. Intl J. Heat Mass Transfer 11, 1208-1211.
16. KADANOFF, L. P. 2001. Turbulent heat flow: Structures and scaling. Phys. Today 54(8), 34-39.
17. KERR, R. M. 1996 Rayleigh number scaling in numerical convection. J. Fluid Mech. 310, 139-179.
18. LIDE, D. R. (ed.) 2001 CRC Handbook of Chemnistry and Physics 80th eedn. CRC Press.
19. NIELD, D. A. 1987 Througflow effects in the Rayleigh-Bénard convective instbiltiy problem. J. Fluid Mech. 185, 353-360.
20. NIEMELA, J. J. & SREENIVASAN, K. R. 2003 Confined turbulent convection. J. Fluid Mech. 481, 355-384.
21. NIEMELA, J. J. & SREENIVASAN, K. R. 2006 Turbulent convection at high Rayleigh numbers and aspect ratio 4. J. Fluid Mech. 557 411-422.
22. NIEMELA, J. J., SKRBEK, L., SREENIVASAN, K. R. & DONELLY, R. J. 2000 Turbulent convection at very high Rayleigh numbers. Nature 404, 837-840.
23. NIEMELA, J. J., SKRBEK, L., SREENIVASAN, K. R. & DONNELY, R. J. 2001 The wind in confined thermal convection. J. Fluid Mech. 449, 169-178.
24. ORION 1999 Sensorlink™ Model PCM100 Instruction Manual. ORION Research.
25. PUTHENVEETTIL, B. A. 2004 Investigations on high Rayleigh number turbulent free-convetion. PhD thesis, Indian Institute of Science, Bangalore, http://etd.ncsi.iisc.ernet.in/handle/2005/140.
26. PUTHENVEETTIL, B. A. & ARAKERI, J. H. 2005 Plume structure in high-Rayleigh-number convection. J. Fluid Mech. 542, 217-249.
27. PUTHENVEETTIL, B. A., ANANTHAKRISHNA, G. & ARAKERI, J. H. 2005 The multifractal nature of plume structure in high-Rayleigh-number convection. J. Fluid Mech. 526, 245-256.
28. ROTEM, Z. & CLASSEN, L. 1969 Natural convection above unconfined horizontal surfaces. J. Fluid Mech. 39, 173-192.
29. SHVARTSBLAT, D. L. 1969 Steady convective motions in a plane horizontal fluid layer with permeable boundaries. Izv. Akad. Nauk SSSR Mekh. Zhid. i Gaza 4 (5), 84-90.
30. SIGGIA, E. D. 1994 High Rayleigh number convection. Annu. Rev. Fluid Mech. 26, 137-168.
31. SPANGENBERG, W. G. & ROWLAND, W. G. 1961 Convective circulation in water induced by evaporative cooling. Phys. Fluids 4(6), 743-750.
32. SPARROW, E. & HUSAR, R. 1969 Longitudinal vortices in natural convection flow on inclined plates. J. Fluid Mech. 37, 251-255.
33. STRINGANO, G., PASCAZIO, G. & VERZICCO, R. 2006 Turbulent thermal convection over grooved plates. J. Fluid Mech. 557, 307-336.
34. SUN, C., REN, L.-Y., SONG, H. & XIA, K.-Q. 2005 Heat transport by turbulent Rayleigh-Bénard convection in 1 m diameter cylindrical cells of widely varying aspect ratio. J. Fluid Mech. 542, 165-174.
35. THEERTHAN, S. A. & ARAKERI, J. H. 1998 A model for near-wall dynamics in turbulent Rayleigh-Bénard convection. J. Fluid Mech. 373, 221-254.
36. THEERTHAN, S. A. & ARAKERI, J. H. 2000 Plan form structure and heat transfer in turbulent free convection over horizontal surfaces. Phys. Fluids 12, 884-894.
37. TOWNSEND, A. 1959 Temperature fluctuations over a heated horizontal surface. J. Fluid Mech. 5, 209-211
38. XIA, K. Q., LAM, S. & ZHOU, S. Q. 2002 Heat flux measurement in high Prandtl number turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 88, 064501.
39. XIA, K. Q., SUN, C. & ZHOU, S. 2003 Particle image velocimetry measurement of the velocity field in turbulent thermal convection. Phys. Rev. E 68, 066303.
40. YOUNG, Y.-N., TUFO, H., DUBEY, A. & ROSNER, R. 2001 On the miscible Rayleigh-Taylor instability: Two- and three-dimensions. J. Fluid Mech. 447, 377-408.
41. ZHOU, Q., SUN, C. & XIA, K. Q. 2007 Morphological evolution of thermal plumes in turbulent Rayleigh Benard convection. Phys. Rev. Lett. 98, 074501.
42. ZOCCHI, G., MOSES, E. & LIBCHABER, A. 1990 Coherent structures in turbulent convection, an experimental study. Physica A 166, 387-407.