Onset of buoyancy-driven convection in a liquid-saturated cylindrical porous layer supported by a gas layer

Physics of Fluids

Volumn 20, Issue 5, 2008, Pages

  Kim, Min Chan ^a   Song, Kwang Ho ^b   Choi, Chang Kyun ^c   Yeo, Jong Kee ^d  

^a Jeju National University   (South Korea)

^b Korea University   (South Korea)

^c Seoul National University   (South Korea)

^d LG Chemical Ltd   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY LAYER FLOW; BUOYANCY; DIFFUSION; FLOW OF GASES; LINEAR STABILITY ANALYSIS;

BOUSSINESQ APPROXIMATION; BUOYANCY FORCES; DARCY'S LAW;

FLUID DYNAMICS;

APPROXIMATION THEORY; BOUNDARY LAYER FLOW; BUOYANCY; DIFFUSION; FLOW OF GASES; FLUID DYNAMICS; LINEAR STABILITY ANALYSIS;

EID: 44649173848     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2919737     Document Type: Article

References (28)

1. 2," AIChE J. AICEAC0001-154110.1002/aic.11157 53, 1121 (2007).
2. J. Ennis-King, I. Preston, and L. Paterson, "Onset of convection in anisotropic porous media subject to a rapid change in boundary conditions," Phys. Fluids PHFLE61070-663110.1063/1.2033911 17, 084107 (2005).
3. X. Xu, S. Chen, and D. Zhang, "Convective instability analysis of the long term storage of carbon dioxide in deep saline aquifers," Adv. Water Resour. AWREDI0309-170810.1016/j.advwatres.2005.05.008 29, 397 (2006).
4. A. Riaz, M. Hesse, H. A. Tchelepi, and F. M. Orr, Jr., "Onset of convection in a gravitationally unstable, diffusive boundary layer in porous media," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112005007494 548, 87 (2006).
5. F. Rashidi, A. Bahrami, and H. Soroush, "Prediction of time required for onset of convection in a porous medium saturated with oil and a layer of gas underlying the oil," J. Pet. Sci. Eng. JPSEE60920-410510.1016/S0920-4105(00)00045-0 26, 311 (2000).
6. C. W. Horton and F. T. Rogers, "Convection currents in a porous medium," J. Appl. Phys. JAPIAU0021-897910.1063/1.1707601 16, 367 (1945).
7. E. R. Lapwood, "Convection of a fluid in a porous medium," Proc. Cambridge Philos. Soc. PCPSA40068-6735 44, 508 (1948).
8. R. A. Wooding, "The stability of viscous liquid in a vertical tube containing porous material," Proc. R. Soc. London, Ser. A PRLAAZ1364-5021 252, 120 (1959).
9. A. Zebib, "Onset of natural convection in a cylinder of water saturated porous media," Phys. Fluids PFLDAS0031-917110.1063/ 1.862280 21, 699 (1978).
10. C. Y. Wang, "Onset of natural convection in a fluid-saturated porous medium inside a cylindrical enclosure bottom heated by constant heat flux," Int. Commun. Heat Mass Transfer IHMTDL0735-193310.1016/ S0735-1933(98)00046-3 25, 593 (1998).
11. J. P. Kubitschek and P. D. Weidman, "Stability of fluid-saturated porous medium contained in a vertical cylinder heated from below by forced convection," Heat Mass TransferHMTRF80947-741110.1007/ s00231-005-0045-y 42, 789 (2006).
12. K. B. Haugen and P. A. Tyvand, "Onset of thermal convection in a vertical porous cylinder with conducting wall," Phys. Fluids PHFLE61070-663110.1063/1.1597452 15, 2661 (2003).
13. J.-P. Caltagirone, "Stability of a saturated porous layer subject to a sudden rise in surface temperature: Comparison between the linear and energy methods," Q. J. Mech. Appl. Math. QJMMAV0033-561410.1093/ qjmam/33.1.47 33, 47 (1980).
14. D. Y. Yoon and C. K. Choi, "Thermal convection in a saturated porous medium subjected to isothermal heating," Korean J. Chem. Eng. KJCHE60256-111510.1007/BF02697493 6, 144 (1989).
15. K.-K. Tan, T. Sam, and H. Jamaludin, "The onset of transient convection in bottom heated porous media," Int. J. Heat Mass Transfer IJHMAK0017-931010.1016/S0017-9310(03)00045-0 46, 2857 (2003).
16. M. Kaviany, "Onset of thermal convection in a saturated porous medium: Experiment and analysis," Int. J. Heat Mass Transfer IJHMAK0017-931010.1016/0017-9310(84)90197-2 27, 2101 (1984).
17. T. D. Foster, "Stability of homogeneous fluid cooled uniformly from above," Phys. Fluids PFLDAS0031-917110.1063/1.1761393 8, 1249 (1965).
18. A. Selim and D. A. Rees, "The stability of a developing thermal front in a Porous Medium. I Linear theory," J. Porous Media JPMEFB1091-028X10.1615/JPorMedia.v10.i1.10 10, 1 (2007).
19. A. Selim and D. A. Rees, "The stability of a developing thermal front in a Porous Medium. II Nonlinear evolution," J. Porous Media JPMEFB1091-028X10.1615/JPorMedia.v10.i1.20 10, 17 (2007).
20. M. C. Kim and C. K. Choi, "The onset of buoyancy-driven convection in fluid layers with temperature-dependent viscosity," Phys. Earth Planet. Inter. PEPIAM0031-920110.1016/j.pepi.2005.09.006 155, 42 (2006).
21. M. C. Kim, J. H. Park, and C. K. Choi, "Onset of buoyancy-driven convection in the horizontal fluid layer subjected to ramp heating from below," Chem. Eng. Sci. CESCAC0009-250910.1016/j.ces.2005.04.071 60, 5363 (2005).
22. K. H. Kang and C. K. Choi, "A theoretical analysis of the onset of surface-tension-driven convection in a horizontal fluid layer cooled suddenly from above," Phys. Fluids PHFLE61070-663110.1063/1.869171 9, 7 (1998).
23. K. H. Kang, C. K. Choi, and I. G. Hwang, "Onset of Marangoni convection in a suddenly desorbing liquid layer," AIChE J. AICEAC0001-154110.1002/aic.690460104 46, 15 (2000).
24. M. C. Kim, J. S. Hong, and C. K. Choi, "The analysis of the onset of Soret-driven convection in nanoparticles suspension," AIChE J. AICEAC0001-154110.1002/aic.10872 52, 2333 (2006).
25. M. C. Kim, C. K. Choi, and J.-K. Yeo, "The onset of Soret-driven convection in an initially stably stratified, binary mixture," Phys. Fluids PHFLE61070-663110.1063/1.2756824 19, 084103 (2007).
26. M. C. Kim, S. Kim, and C. K. Choi, "The convective stability of circular Couette flow induced by a linearly accelerated inner cylinder," Eur. J. Mech. B/Fluids EJBFEV0997-754610.1016/ j.euromechflu.2005.04.009 25, 74 (2006).
27. M. C. Kim and C. K. Choi, "The onset of Taylor-Görtler vortices in the time-dependent Couette flow induced by an impulsively imposed shear," Korean J. Chem. Eng. KJCHE60256-1115 26, 874 (2006).
28. T. D. Foster, "Onset of manifest convection in a layer of fluid with a time-dependent surface temperature," Phys. Fluids PFLDAS0031-917110.1063/1.1692384 12, 2482 (1969).