Onset of Buoyancy-Driven Convection in a Fluid-Saturated Porous Medium Bounded by a Long Cylinder

Transport in Porous Media

Volumn 97, Issue 3, 2013, Pages 395-408

  Kim, Min Chan ^a  

^a Jeju National University   (South Korea)

Author keywords

Buoyancy driven convection; Cylindrical geometry; Linear stability analysis; Porous medium

Indexed keywords

BOUNDARY LAYERS; CYLINDERS (SHAPES); FLOW OF FLUIDS; HEAT CONVECTION; LINEAR STABILITY ANALYSIS; POROUS MATERIALS;

BOUSSINESQ APPROXIMATIONS; BUOYANCY-DRIVEN CONVECTION; CONVECTIVE INSTABILITIES; CYLINDRICAL GEOMETRY; FLUID-SATURATED POROUS MEDIUM; HORIZONTAL POROUS LAYERS; POROUS MEDIUM; PRINCIPLE OF EXCHANGE OF STABILITIES;

BUOYANCY;

BOUSSINESQ EQUATION; BUOYANCY; CYLINDER; DARCY LAW; FLUID FLOW; POROUS MEDIUM; THERMAL CONVECTION;

EID: 84874707210     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-013-0130-5     Document Type: Article

References (14)

1. Amunson, N. R., Mathematical Methods in Chemical Engineering, Prentice Hall, Englewood Cliffs (1966).
2. Chandrasekhar, S.: Hydrodynamic and Hydromagnetic Stability. Oxford University Press, Oxford (1961).
3. Ennis-King, J., Preston, I., Paterson, L.: Onset of convection in anisotropic porous media subject to a rapid change in boundary conditions. Phys. Fluids 17, 084107 (2005).
4. Hassanzadeh, H., Pooladi-Darvish, N., Keith, D. W.: Stability of fluid in a horizontal saturated porous layer: effect of non-linear concentration profile, initial, and boundary conditions. Trans. Porous Med. 65, 193-211 (2006).
5. Horton, C. W., Rogers, F. T.: Convection currents in a porous medium. J. Appl. Phys. 6, 367-370 (1945).
6. Kim, M. C.: Onset of radial viscous fingering in a Hele-Shaw cell. Korean J. Chem. Eng. 29, 1688-1694 (2012).
7. Kim, M. C., Choi, C. K.: 2012. Linear stability analysis on the onset of buoyancy-driven convection in liquid-saturated porous medium. Phys. Fluids 24, 044102 (2012).
8. Lapwood, E. R.: Convection of a fluid in a porous medium. Proc. Cambridge Phil. Soc. 44, 508-521 (1948).
9. Rashidi, F., Bahrami, A., Soroush, H.: 2000 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. 26, 311-317 (2000).
10. Riaz, A., Hesse, M., Tchelepi, H. A., Orr Jr, F. M.: Onset of convection in a gravitationally unstable, diffusive boundary layer in porous media. J. Fluid Mech. 548, 87-111 (2006).
11. Wessel-Berg, D.: On a linear stability problem related to underground {CO}_2 storage. SIAM J. Appl. Math. 70, 1219-1238 (2009).
12. Wooding, R. A.: The stability of viscous liquid in a vertical tube containing porous material. Proc. Roy. Soc. Lond. A 252, 120-134 (1959).
13. Wooding, R. A.: The stability of an interface between miscible fluids. ZAMP 13, 255-266 (1962).
14. Xu, X., Chen, S., Zhang, Z.: Convective stability analysis of the long-term storage of carbon dioxide in deep saline aquifers. Adv. Water Resour. 29, 397-497 (2006).