Ultimate Regime of High Rayleigh Number Convection in a Porous Medium

被引：88

作者：

Hewitt, Duncan R. ^{[1
]}

Neufeld, Jerome A. ^{[1
,2
,3
]}

Lister, John R. ^{[1
]}

机构：

[1] Univ Cambridge, DAMTP, Inst Theoret Geophys, Cambridge CB3 0WA, England

[2] Univ Cambridge, Dept Earth Sci, Cambridge CB3 0WA, England

[3] Univ Cambridge, BP Inst, Cambridge CB3 0WA, England

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 22期

基金：

英国工程与自然科学研究理事会;

关键词：

BENARD CONVECTION; LAYER; STORAGE; BOUNDS; CO2;

D O I：

10.1103/PhysRevLett.108.224503

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Well-resolved direct numerical simulations of 2D Rayleigh-Benard convection in a porous medium are presented for Rayleigh numbers Ra <= 4 x 10(4) which reveal that, contrary to previous indications, the linear classical scaling for the Nusselt number, Nu similar to Ra, is attained asymptotically. The flow dynamics are analyzed, and the interior of the vigorously convecting system is shown to be increasingly well described as Ra -> infinity by a simple columnar "heat-exchanger" model with a single horizontal wave number k and a linear background temperature field. The numerical results are approximately fitted by k similar to Ra-0.4.

引用

页数：4

共 15 条

[1] Heat transfer and large scale dynamics in turbulent Rayleigh-Benard convection
Ahlers, Guenter
Grossmann, Siegfried
Lohse, Detlef
[J]. REVIEWS OF MODERN PHYSICS, 2009, 81 (02) : 503 - 537
[2] Convective Instability and Mass Transport of Diffusion Layers in a Hele-Shaw Geometry
Backhaus, Scott
Turitsyn, Konstantin
Ecke, R. E.
[J]. PHYSICAL REVIEW LETTERS, 2011, 106 (10)
[3] PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM
CROSS, MC
HOHENBERG, PC
[J]. REVIEWS OF MODERN PHYSICS, 1993, 65 (03) : 851 - 1112
[4] Bounds for heat transport in a porous layer
Doering, CR
Constantin, P
[J]. JOURNAL OF FLUID MECHANICS, 1998, 376 : 263 - 296
[5] PLUME FORMATION AND RESONANT BIFURCATIONS IN POROUS-MEDIA CONVECTION
GRAHAM, MD
STEEN, PH
[J]. JOURNAL OF FLUID MECHANICS, 1994, 272 : 67 - 89
[6] Multiple scaling in the ultimate regime of thermal convection
Grossmann, Siegfried
Lohse, Detlef
[J]. PHYSICS OF FLUIDS, 2011, 23 (04)
[7] Scaling behavior of convective mixing, with application to geological storage of CO2
Hassanzadeh, Hassan
Pooladi-Darvish, Mehran
Keith, David W.
[J]. AICHE JOURNAL, 2007, 53 (05) : 1121 - 1131
[8] Transition to the Ultimate State of Turbulent Rayleigh-Benard Convection
He, Xiaozhou
Funfschilling, Denis
Nobach, Holger
Bodenschatz, Eberhard
Ahlers, Guenter
[J]. PHYSICAL REVIEW LETTERS, 2012, 108 (02)
[9] Howard L. N., 1964, APPL MECH, P1109, DOI 10.1007/978-3-662-29364-5_147
[10] Kadanoff LP, 2001, PHYS TODAY, V54, P34, DOI 10.1063/1.1404847

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