Nonlinear convective stability in a porous medium with temperature-dependent viscosity and inertial drag

Studies in Applied Mathematics

Volumn 96, Issue 3, 1996, Pages 273-288

  Qin, Y ^a   Chadam, J ^b  

^a MCMASTER UNIVERSITY   (Canada)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

DRAG; VISCOSITY; POROUS MATERIALS;

CONDITIONAL STABILITY; CONVECTIVE STABILITY; FLUID SATURATED POROUS MEDIA; NONLINEAR STABILITY ANALYSIS; POROUS MEDIUM; TEMPERATURE DEPENDENT VISCOSITY;

POROUS MATERIALS; DRAG;

EID: 0040058485     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1002/sapm1996963273     Document Type: Article

References (14)

1. M. A. COMBARNOUS and S. A. BORIES, Hydrothermal convection in saturated porous media, Adv. Hydrosci. 10:231-307 (1975).
2. P. CHENG, Heat transfer in geothermal systems. Adv. Heat Transfer 14:1-105 (1978).
3. D. A. NIELD, The stability of convective flows in porous media, in Convective Heat and Mass Transfer in Porous Media (S. Kakaç, Eds.), pp. 79-122, Kluwer Academic, Netherlands, 1991.
4. H. C. BRINKMAN, A calculation of the viscous forces exerted by a floating fluid on a dense swarm of particles, Appl. Sci. Res. A. 1:27-34 (1947).
5. K. VAFAI and C. L. TIEN, Boundary and inertial effects on flow and heat transfer in porous media, Int. J. Heat Mass Transfer 24:195-203 (1981).
6. C. T. HSU and P. CHENG, Thermal dispersion in a porous medium, Int. J. Heat Mass Transfer 33:1587-1597 (1990).
7. Y. QIN and P. N. KALONI, A nonlinear stability problem of convection in a porous vertical slab, Phys. Fluids 5(8):2067-2069 (1993).
8. D. A. NIELD and D. D. JOSEPH, Effects of quadratic drag on convection in a saturated porous medium, Phys. Fluid 28:995-997 (1985).
9. L. RICHARDSON and B. STRAUGHAN, Convection with temperature dependent viscosity in a porous medium: Nonlinear stability and Brinkman effect, Atti Accad. Naz. Licei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Math. Appl. 3:223-230 (1993).
10. R. C. WEAST, Handbook of Chemistry and Physics, 69th ed. CRC Press, Boca Raton, FL, 1988-89.
11. G. P. GALDI, L. E. PAYNE, M. R. E. PROCTOR and B. STRAUGHAN, Convection in thawing subsea permafrost., Proc. Roy. Soc. London Ser. A 414:83-102 (1987).
12. D. D. JOSEPH, Stability of Fluid Motions, Vol. II, Springer-Verlag, Berlin/New York, 1976.
13. K. A. LINDSAY and B. STRAUGHAN, Penetrative convection in a micropolar fluid, Int. J. Enrg. Sci. 30:1677-1682 (1992).
14. B. STRAUGHAN, The Energy Method, Stability and Nonlinear Convection, Ser. In Appl. Math. Sci., Vol. 91, Springer-Verlag; Berlin/New York, 1992.