Onset of buoyancy-driven convection in isotropic porous media heated from below

Korean Journal of Chemical Engineering

Volumn 27, Issue 3, 2010, Pages 741-747

  Kim, Min Chan ^a  

^a Jeju National University   (South Korea)

Author keywords

Buoyancy driven Convection; Energy Method; Porous Media; Propagation Theory

Indexed keywords

EID: 77952322085     PISSN: 02561115     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11814-010-0149-z     Document Type: Article

References (27)

1. J. Ennis-King, I. Preston and L. Paterson, Phys. Fluids, 17, 084107 (2005).
2. X. Xu, S. Chen and D. Zhang, Adv. Water Res., 29, 397 (2006).
3. A. Riaz, M. Hesse, H. A. Tchelepi and F. M. Orr Jr., J. Fluid Mech., 548, 87 (2006).
4. C. W. Horton and F. T. Rogers, J. Appl. Phys., 6, 367 (1945).
5. E. R. Lapwood, Proc. Camb. Phil. Soc., 44, 508 (1948).
6. J.-P. Caltagirone, Q. J. Mech. Appl. Math., 33, 47 (1980).
7. D. Y. Yoon and C. K. Choi, Korean J. Chem. Eng., 6, 144 (1989).
8. K.-K. Tan, T. Sam and H. Jamaludin, Int. J. Heat Mass Transfer, 46, 2857 (2003).
9. M. Kaviany, Int. J. Heat Mass Transfer, 27, 2101 (1984).
10. C. K. Choi, J. H. Park and M. C. Kim, Heat Mass Transfer, 41, 155 (2004).
11. C. K. Choi, J. H. Park, M. C. Kim, J. D. Lee, J. J. Kim and E. J. Davis, Int. J. Heat Mass Transfer, 47, 4377 (2004).
12. M. C. Kim, J. H. Park and C. K. Choi, Chem. Eng. Sci., 60, 5363 (2005).
13. S. Chandrasekhar, Hydrodynamic and hydromagnetic stability, Oxford University Press (1961).
14. I. G. Hwang and C. K. Choi, J. Crystal Growth, 220, 326 (2000).
15. I. G. Hwang and C. K. Choi, J. Crystal Growth, 267, 714 (2004).
16. K. H. Kang and C. K. Choi, Phys. Fluids, 9, 7 (1998).
17. K. H. Kang, C. K. Choi and I. G. Hwang, AIChE J., 46, 15 (2000).
18. M. C. Kim and C. K. Choi, Chem. Eng. Sci., 60, 599 (2005).
19. M. C. Kim, S. Kim and C. K. Choi, Eur. J. Mech. B: Fluid, 25, 74 (2006).
20. S. F. Shen, J. Aerospace Sci., 28, 397 (1961).
21. Y. Ben, E. A. Demekhin and H.-C. Chang, Phys. Fluids, 14, 999 (2002).
22. J. W. Elder, J. Fluid Mech., 27, 609 (1967).
23. D. D. Joseph, Arch. Rational Mech. Anal., 22, 163 (1966).
24. G. M. Homsy, J. Fluid Mech. 60, 129 (1973).
25. J. W. Elder, J. Fluid Mech., 32, 69 (1968).
26. T. D. Foster, Phys. Fluids, 12, 2482 (1969).
27. B. Straughan, The Energy Method, Stability, and Nonlinear Convection, Springer-Verlag (1992).