The onset of nonpenetrative convection in a suddenly cooled layer of fluid

International Journal of Heat and Mass Transfer

Volumn 49, Issue 7-8, 2006, Pages 1442-1451

  Ihle, Christian F ^a   Niño, Yarko ^b  

^a DEPARTAMENTO DE FÍSICA   (Chile)

^b UNIVERSITY OF CHILE   (Chile)

Author keywords

Buoyancy driven instability; Critical time; Isothermal heating; Nonpenetrative convection; Prandtl number; Propagation theory; Rayleigh number

Indexed keywords

BOUNDARY CONDITIONS; BUOYANCY; COOLING; ELECTROMAGNETIC WAVE PROPAGATION; HEAT TRANSFER; PRANDTL NUMBER;

BUOYANCY-DRIVEN INSTABILITY; CRITICAL TIME; ISOTHERMAL HEATING; NONPENETRATIVE CONVECTION; PROPAGATION THEORY; RAYLEIGH NUMBER;

HEAT CONVECTION;

BOUNDARY CONDITIONS; BUOYANCY; COOLING; ELECTROMAGNETIC WAVE PROPAGATION; HEAT CONVECTION; HEAT TRANSFER; PRANDTL NUMBER;

EID: 33144456344     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2005.09.025     Document Type: Article

References (37)

1. R.J. Adrian Turbulent thermal convection in wide horizontal fluid layers Exp. Fluids 4 1986 121
2. L. Rayleigh On convection currents in a horizontal layer of fluid when the higher temperature in on the under side Philos. Mag. 32 1916 529
3. R.B. Stull An Introduction to Boundary Layer Meteorology fifth ed. 1988 Kluwer Academic Publishers
4. P.G. Drazin, and W.H. Reid Hydrodynamic Stability 1981 Cambridge University Press
5. P.M. Gresho, and R.L. Sani Stability of a fluid layer subjected to a step change in temperature: transient vs. frozen time analysis Int. J. Heat Mass Transfer 14 1971 207 221
6. G.M. Homsy Global stability of time-dependent flows: impulsively heated or cooled fluid layers J. Fluid Mech. 60 1973 129
7. T.D. Foster Stability of homogeneous fluid cooled from above Phys. Fluids 8 1965 1249 1257
8. T.D. Foster Onset of manifest convection in a layer of fluid with a time-dependent surface temperature Phys. Fluids 12 1969 2482 2487
9. B.S. Jhaveri, and G.M. Homsy The onset of convection in fluid layers heated rapidly in a time-dependent manner J. Fluid Mech. 114 1982 251 260
10. K.H. Kim, and M.U. Kim The onset of natural convection in a fluid layer suddenly heated from below Int. J. Heat Mass Transfer 29 1986 193 201
11. M.C. Kim, K.H. Choi, and C.K. Choi The onset of thermal convection in an initially, stably stratified fluid layer Int. J. Heat Mass Transfer 42 1999 4253 4258
12. C.K. Choi, J.D. Lee, S.T. Hwang, J.S. Yoo, The analysis of thermal instability and heat transfer prediction in a horizontal fluid layer heated from below, in: Proceedings of the International Conference on Fluid Mechanics, 1988, pp. 1193-1198.
13. M.C. Kim, D.Y. Yoon, and C.K. Choi Buoyancy-driven convection in a horizontal fluid layer under uniform volumetric heat sources Korean J. Chem. Eng. 13 1996 165 171
14. K.H. Kang, and C.K. Choi A theoretical analysis of the onset of surface-tension-driven convection in a horizontal liquid layer cooled suddenly from above Phys. Fluids 9 1997 7 15
15. T.J. Chung, M.C. Kim, and C.K. Choi Temporal evolution of thermal instability in fluid layers isothermally heated from below Korean J. Chem. Eng. 21 2004 41 47
16. C.K. Choi, J.H. Park, H.K. Park, H.J. Cho, T.J. Chung, and M.C. Kim Temporal evolution of thermal convection in an initially stably-stratified horizontal fluid layer Int. J. Therm. Sci. 43 2004 817 823
17. W.G. Spangenberg, and W.R. Rowland Convective circulation in water induced by evaporative convection Phys. Fluids 4 1961 743 750
18. T.D. Foster Onset of convection in a layer of fluid cooled from above Phys. Fluids 8 1965 1770 1773
19. R.E. Plevan, and J.A. Quinn The effect of monomolecular films on the rate of gas absorption into a quiescent liquid AIChE J. 12 5 1966 894 902
20. L.M. Blair, and J.A. Quinn Onset of cellular convection in a fluid layer with time-dependent density gradients J. Fluid Mech. 36 1969 385 400
21. K.K. Tan, and R.B. Thorpe Gas diffusion into viscous and non-Newtonian liquids Chem. Eng. Sci. 47 13/14 1992 3565 3572
22. R.J. Goldstein, and R.J. Volino Onset and development of natural convection above a suddenly heated surface J. Heat Transfer-Trans. ASME 117 1995 808
23. I.F. Davenport, and C.J. King The onset of natural convection from time-dependent profiles Int. J. Heat Mass Transfer 17 1974 69 76
24. D.J. Yang, and C.K. Choi Onset of thermal convection in a horizontal fluid layer heated from below with time-dependent heat flux Phys. Fluids 14 2002 930 937
25. C.K. Choi, J.H. Park, and M.C. Kim The onset of buoyancy-driven convection in a horizontal fluid layer subjected to evaporative cooling Heat Mass Transfer 41 2004 155 162
26. C.K. Choi, J.H. Park, M.C. Kim, J.D. Lee, J.J. Kim, and E.J. Davis The onset of convective instability in a horizontal fluid layer subjected to a constant heat flux from below Int. J. Heat Mass Transfer 47 2004 4377 4384
27. M.C. Kim, H.K. Park, and C.K. Choi Stability of an initially stably stratified fluid subjected to a step change in temperature Theor. Comput. Fluid Dyn. 16 2002 49 57
28. C.F. Ihle, Y. Niño, Global stability of nonpenetrative convection, Phys. Fluids, to be submitted.
29. E.M. Sparrow, R.J. Goldstein, and V.K. Jonsson Thermal instability in a horizontal fluid layer: effect of boundary conditions and non-linear temperature profile J. Fluid Mech. 18 1964 513 528
30. J. Mizushima Onset of convection in a finite two-dimensional box J. Phys. Soc. Jpn. 64 7 1995 2420 2432
31. K. Chen, M.M. Chen, and C.W. Sohn Thermal instability of two-dimensional stagnation-point boundary layers J. Fluid Mech. 132 1983 49 63
32. J. Imberger, and J.C. Patterson Physical limnology Adv. Appl. Mech. 27 1990 303 475
33. E.G. Mahler, R.S. Schechter, and E.H. Wissler Stability of a fluid layer with time-dependent density gradients Phys. Fluids 11 1968 1901 1912
34. J.W. Elder Temporal development of a model of high Rayleigh number convection J. Fluid Mech. 35 1969 417 437
35. H. Ueda, S. Komori, S. Miyasaki, and H. Ozoe Time-dependent thermal convection in a stably stratified fluid layer heated from below Phys. Fluids 27 1984 2617 2623
36. T.D. Foster Effect of boundary conditions on the onset of convection Phys. Fluids 11 1968 1257
37. S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability first ed. 1961 Clarendon Oxford