摘要: A bidispersive porous material is one which has usual pores but additionally contains a system of micro pores. We consider fluid-saturated medium in the vertical layer x∈(−1/2,1/2) with gravity −z (downward) direction. The walls are maintained at different constant temperatures. suitable Rayleigh number defined and we derive global stability threshold below no instability may arise. show that stable for all numbers provided initial temperature gradient bounded precise sense.
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sci-hub.se 参考文章(23)
Adrian Bejan, Donald A. Nield, Convection in Porous Media ,(1992)
Brian Straughan, The Energy Method, Stability, and Nonlinear Convection ,(1991)
D.A. Nield, A.V. Kuznetsov, The onset of convection in a tridisperse porous medium International Journal of Heat and Mass Transfer. ,vol. 49, pp. 3120- 3127 ,(2006) , 10.1016/J.IJHEATMASSTRANSFER.2006.02.008
D. Andrew S. Rees, Vortex instability from a near–vertical heated surface in a porous medium. I Linear instability Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. ,vol. 457, pp. 1721- 1734 ,(2001) , 10.1098/RSPA.2001.0785
Antonio Barletta, Buoyancy-Opposed Darcy’s Flow in a Vertical Circular Duct with Uniform Wall Heat Flux: A Stability Analysis Transport in Porous Media. ,vol. 102, pp. 261- 274 ,(2014) , 10.1007/S11242-014-0274-Y
A. Barletta, L. Storesletten, Adiabatic eigenflows in a vertical porous channel Journal of Fluid Mechanics. ,vol. 749, pp. 778- 793 ,(2014) , 10.1017/JFM.2014.260
A. E. Gill, A proof that convection in a porous vertical slab is stable Journal of Fluid Mechanics. ,vol. 35, pp. 545- 547 ,(1969) , 10.1017/S0022112069001273
Brian Straughan, A nonlinear analysis of convection in a porous vertical slab Geophysical and Astrophysical Fluid Dynamics. ,vol. 42, pp. 269- 275 ,(1988) , 10.1080/03091928808213611
D Andrew S Rees, The stability of Prandtl-Darcy convection in a vertical porous layer International Journal of Heat and Mass Transfer. ,vol. 31, pp. 1529- 1534 ,(1988) , 10.1016/0017-9310(88)90260-8
D. Andrew S. Rees, Vortex instability from a near-vertical heated surface in a porous medium II. Nonlinear evolution Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. ,vol. 458, pp. 1575- 1592 ,(2002) , 10.1098/RSPA.2001.0920