Onset of buoyancy-driven convection in the horizontal fluid layer subjected to ramp heating from below

Chemical Engineering Science

Volumn 60, Issue 19, 2005, Pages 5363-5371

  Kim, Min Chan ^a   Hwan Park, Joung ^b   Kyun Choi, Chang ^b  

^a Jeju National University   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

Boundary condition; Buoyancy driven instability; Propagation theory; Ramp heating

Indexed keywords

BOUNDARY CONDITIONS; BUOYANCY; HEAT CONVECTION; HEATING; PRANDTL NUMBER; PRASEODYMIUM; TIME DOMAIN ANALYSIS;

CONVECTIVE MOTION; FLUID LAYERS; RAYLEIGH NUMBER; STABILITY ANALYSIS;

FLUIDS;

BOUNDARY CONDITIONS; BUOYANCY; CONVECTION; HEATING;

EID: 22144446303     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2005.04.071     Document Type: Article

References (33)

1. S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability 1961 Oxford University Press Oxford
2. G. Choblet, and C. Sotin 3D thermal convection with variable viscosity: can transient cooling be described by a quasi-static scaling law? Physics of the Earth and Planetary Interiors 119 2000 321 336
3. 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 International Journal of Heat and Mass Transfer 47 2004 4377 4384
4. 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 and Mass Transfer 41 2004 155 162
5. C.K. Choi, T.J. Chung, and M.C. Kim Buoyancy effects in plane Couette flow heated uniformly from below with constant heat flux International Journal of Heat and Mass Transfer 47 2004 2629 2636
6. 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 International Journal of Thermal Sciences 43 2004 817 823
7. A. Davaille, and C. Jaupart Transient high-Rayleigh-number thermal convection with large viscosity variations Journal of Fluid Mechanics 253 1993 141 166
8. Davenport, I.F., King, C.J., 1972. The initiation of natural convection caused by time-dependent profiles. Lawrence Berkeley Laboratory Report no. LBL-660.
9. I.F. Davenport, and C.J. King The onset of natural convection from time-dependent profiles International Journal of Heat and Mass Transfer 17 1974 69 76
10. T.D. Foster Stability of homogeneous fluid cooled uniformly from above Physics of Fluids 8 1965 1249 1257
11. T.D. Foster Onset of manifest convection in a layer of fluid with a time-dependent surface temperature Physics of Fluids 12 1969 2482 2487
12. I.G. Hwang, and C.K. Choi The onset of mushy-layer-mode instability during solidification in ammonium chloride solution Journal of Crystal Growth 220 2000 326 335
13. I.G. Hwang, and C.K. Choi Onset of compositional convection during solidification of a two-component melt from a bottom boundary Journal of Crystal Growth 267 2004 714 723
14. M.T. Hyun, and M.C. Kim Onset of buoyancy-driven convection in the horizontal fluid layer subjected to time-dependent heating from below International Communications in Heat and Mass Transfer 30 2003 965 974
15. B.S. Jhaveri, and G.M. Homsy The onset of convection in fluid layer heated rapidly in a time-dependent manner Journal of Fluid Mechanics 114 1982 251 260
16. 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 Physics of Fluids 9 1997 7 15
17. K.H. Kang, C.K. Choi, and I.G. Hwang Onset of Marangoni convection in a suddenly desorbing liquid layer A.I.Ch.E. Journal 46 2000 15 23
18. M. Kaviany Onset of thermal convection in a fluid layer subjected to transient heating from below Journal of Heat Transfer 106 1984 817 823
19. M.C. Kim, and C.K. Choi The onset of Taylor-Gortler vortices in impulsively decelerating swirl flow Korean Journal of Chemical Engineering 21 2004 767 772
20. M.C. Kim, and C.K. Choi The onset of instability in the flow induced by an impulsively started rotating cylinder Chemical Engineering Science 60 2005 599 608
21. M.C. Kim, and S. Kim The onset of natural convection and heat transfer correlation in horizontal fluid layer heated uniformly from below KSME International Journal 15 2001 1451 1460
22. M.C. Kim, D.Y. Yoon, and C.K. Choi Buoyancy-driven convection in a horizontal fluid layer under uniform volumetric heat sources Korean Journal of Chemical Engineering 13 1996 165 171
23. M.C. Kim, H.K. Park, and C.K. Choi Stability of an initially, stably stratified fluid subjected to a step change in temperature Theoretical and Computational Fluid Dynamics 16 2002 49 57
24. M.C. Kim, T.J. Chung, and C.K. Choi The onset of convective instability in the thermal entrance region of plane Poiseuille flow heated uniformly from below International Journal of Heat and Mass Transfer 46 2003 2629 2636
25. M.C. Kim, T.J. Chung, and C.K. Choi Onset of buoyancy-driven convection in the horizontal fluid layer heated from below with time-dependent manner Korean Journal of Chemical Engineering 21 2004 69 74
26. M.C. Kim, K.Y. Kim, and S. Kim The onset of transient convection in fluid-saturated porous layer heated uniformly from below International Communications in Heat and Mass Transfer 31 2004 53 62
27. M.C. Kim, T.J. Chung, and C.K. Choi The onset of Taylor-like vortices in the flow induced by an impulsively started rotating cylinder Theoretical and Computational Fluid Dynamics 18 2004 105 114
28. J. Korenaga, and T.H. Jordan Physics of multiscale convection in Earth's mantle: onset of sublithosphere convection Journal of Geophysical Research 108 B7 2003 2333
29. J. Korenaga, and T.H. Jordan Physics of multiscale convection in Earth's mantle: evolution of sublithosphere convection Journal of Geophysical Research 109 2004 B01405
30. T. Maekawa, K. Ishii, Y. Shiroishi, and H. Azuma Onset of buoyancy convection in a horizontal layer of a supercritical fluid heated from below Journal of Physics A - Mathematical and General 37 2004 7955 7969
31. B.R. Morton On the equilibrium of a stratified layer of fluid Journal of Mechanics and Applied Mathematics 10 1957 433 447
32. B. Straughan The Energy Method, Stability, and Nonlinear Convection 1992 Springer Berin
33. K.K. Tan, and R.B. Thorpe The onset of convection caused by buoyancy during transient heat conduction in deep fluids Chemical Engineering Science 51 1996 4127 4136