The effect of thermal stratification on natural convection in a vertical porous insulation layer

International Journal of Heat and Mass Transfer

Volumn 40, Issue 1, 1996, Pages 111-121

  Rees, D A S ^a   Lage, J L ^b  

^a UNIVERSITY OF BATH   (United Kingdom)

^b Southern Methodist University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; BOUNDARY LAYERS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; NUMERICAL ANALYSIS; POROUS MATERIALS; THERMAL EFFECTS; THERMAL INSULATION; THERMAL STRATIFICATION;

BURGER LIKE EQUATIONS; LINEAR STABILITY EQUATIONS; STEADY STATE FLOW; TEMPERATURE DROP; TWO DIMENSIONAL FREE CONVECTION FLOW; VERTICAL POROUS INSULATION LAYER;

NATURAL CONVECTION;

EID: 0346308437     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(96)00060-9     Document Type: Article

References (28)

1. J. L. Lage and A. Bejan, Natural convection from a vertical surface covered with hair, Int. J. Heat Fluid Flow 12, 46-53 (1991).
2. W.-J. Yang and N. Zhang, Introducing the next generation in insulation. In Transport Phenomena in Thermal Engineering, Vol. 2 (Edited by J. S. Lee, S. H. Chung and K. Y. Kim), pp. 1489-1493. Begell House, New York, (1993).
3. C. J. Simonson, Y.-X. Tao and R. W. Besant, Thermal hysteresis in fibrous insulation, Int. J. Heat Mass Transfer 36, 4433-4441 (1993).
4. P. Cheng, Heat transfer in geothermal systems, Adv. Heat Transfer 14, 1-104 (1978).
5. P. Cheng, Geothermal heat transfer. In Handbook of Heat Transfer Applications (Edited by W. M. Rohsenow, J. P. Hartnett and E. N. Ganić) (2nd Edn.) McGraw-Hill, New York (1985).
6. A. Hadim and L. C. Burmeister, Conceptual design of a downward-convecting solar pond filled with a water-saturated porous medium, ASME J. Solar Energy Engng 114, 240-245 (1992).
7. J. P. Gosink and G. C. Baker, Salt fingering in subsea permafrost: some stability and energy considerations, J. Geophys. Res. 95, 9575-9583 (1990).
8. R. P. Lowell, Double diffusive convection in partially molten silicate systems: its role during magma production and in magma chambers, J. Volcanol. Geotherm. Res. 26, 1-24 (1985).
9. D. A. S. Rees, The effect of long-wavelength thermal modulations on the onset of convection in an infinite porous layer heated from below, Q. J. Mech. Appl. Math. 43, 189-214 (1990).
10. D. A. S. Rees and D. S. Riley, The effects of boundary imperfections on convection in a saturated porous layer: non-resonant wavelength excitation, Proc. R. Soc. London. A 421, 303-339 (1989).
11. D. A. S. Rees and D. S. Riley, The effects of boundary imperfections on convection in a saturated porous layer: near-resonant wavelength excitation, J. Fluid Mech. 199, 133-154 (1989).
12. M. Kazmierczak and A. Muley, Steady and transient natural convection experiments in a horizontal porous layer: the effects of a thin top fluid layer and oscillating bottom wall temperature, Int. J. Heat Fluid Flow 15, 30-41 (1994).
13. B. Antohe and J. L. Lage, A dynamic thermal insulator: inducing resonance within a fluid saturated porous medium enclosure heated periodically from the side, Int. J. Heat Mass Transfer 37, 751-782 (1994).
14. D. A. Nield, Convection in a porous medium with inclined temperature gradient, Int. J. Heat Mass Transfer 34, 87-92 (1991).
15. D. M. Manole and J. L. Lage, Numerical simulation of supercritical Hadley circulation, induced by inclined temperature gradients, within a porous medium layer, Int. J. Heat Mass Transfer 38, 2583-2594 (1995).
16. R. McKibbin and M. J. O'Sullivan, Onset of convection in a layered porous medium heated from below, J. Fluid Mech. 96, 375-393 (1980).
17. R. McKibbin and M. J. O'Sullivan, Heat transfer in a layered porous medium heated from below, J. Fluid Mech. 111, 141-173 (1981).
18. D. A. S. Rees and D. S. Riley, The three-dimensional stability of finite-amplitude convection in a layered porous medium heated from below, J. Fluid Mech. 211, 437-461 (1990).
19. C. W. Horton and F. T. Rodgers, Convection currents in a porous medium, J. Appl. Phys. 16, 367-370 (1945).
20. D. A. Nield and A. Bejan, Convection in Porous Media. Springer, Berlin (1992).
21. D. R. Kassoy and B. Cotte, The effects of sidewall heat loss on convection in a saturated porous vertical slot, J. Fluid Mech. 152, 361-378 (1985).
22. M. Wang, D. R. Kassoy and P. D. Weidman, Onset of convection in a vertical slab of saturated porous media between two impermeable conducting blocks, Int. J. Heat Mass Transfer 30, 1331-1341 (1987).
23. S. Kimura and A. Bejan, Natural convection in a stably heated corner filled with porous medium, J. Heat Transfer 107, 293-298 (1985).
24. P. Vadasz, C. Braester and J. Bear, The effect of perfectly conducting side walls on natural convection in porous media, Int. J. Heat Mass Transfer 36, 1159-1170 (1993).
25. W. H. H. Banks and M. B. Zaturska, Buoyancy-driven flow between parallel plane vertical walls, J. Engng Math. 25, 375-397 (1991).
26. J. L. Lage, Effect of the convective inertia term on Bénard convection in a porous medium, Numer. Heat Transfer A 22, 469-485 (1992).
27. D. N. Riahi, Nonlinear convection in a porous layer with finite conducting boundaries, J. Fluid Mech. 129, 153-171 (1983).
28. A. E. Gill, A proof that convection in a porous vertical slab is stable, J. Fluid Mech. 35, 545-547 (1969).