The Effect of Strong Heterogeneity on the Onset of Convection in a Porous Medium: Periodic and Localized Variation

被引：18

作者：

Kuznetsov, A. V. ^{[1
]}

Nield, D. A. ^{[2
]}

Simmons, Craig T. ^{[3
]}

机构：

[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA

[2] Univ Auckland, Dept Engn Sci, Auckland, New Zealand

[3] Flinders Univ S Australia, Sch Chem Phys & Earth Sci, Adelaide, SA 5001, Australia

来源：

TRANSPORT IN POROUS MEDIA | 2010年 / 81卷 / 01期

关键词：

Heterogeneity; Stability; Natural convection; Computer package; Periodic variation; Localized variation; VERTICAL HETEROGENEITY; FLOW;

D O I：

10.1007/s11242-009-9390-5

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

The effect of strong heterogeneity on the onset of convection induced by a vertical density gradient in a saturated porous medium governed by Darcy's law is investigated. The general case, where there is heterogeneity in both the vertical and horizontal directions, and where there is heterogeneity in permeability, thermal conductivity, and applied temperature gradient, is considered. A computer package has been developed to implement an algorithm giving a criterion for instability, and this is now employed to investigate the case where the variation is of a periodic or localized nature.

引用

页码：123 / 139

页数：17

共 15 条

[1] CONVECTION IN A BOX OF POROUS MATERIAL SATURATED WITH FLUID [J].

BECK, JL .

PHYSICS OF FLUIDS, 1972, 15 (08) :1377-&

[2] The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium: double diffusive case [J].

Kuznetsov, A. V. ;

Nield, D. A. .

TRANSPORT IN POROUS MEDIA, 2008, 72 (02) :157-170

[3]

Nield AA, 2008, J POROUS MEDIA, V11, P377

[4] The onset of convection in a porous medium occupying an enclosure of variable width or height [J].

Nield, D. A. ;

Kuznetsov, A. V. .

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2007, 129 (12) :1714-1718

[5] The effects of combined horizontal and vertical heterogeneity and anisotropy on the onset of convection in a porous medium [J].

Nield, D. A. ;

Kuznetsov, A. V. .

INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2007, 46 (12) :1211-1218

[6] The effect of combined vertical and horizontal heterogeneity on the onset of convection in a bidisperse porous medium [J].

Nield, D. A. ;

Kuznetsov, A. V. .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2007, 50 (17-18) :3329-3339

[7] A discussion on the effect of heterogeneity on the onset of convection in a porous medium [J].

Nield, D. A. ;

Simmons, Craig T. .

TRANSPORT IN POROUS MEDIA, 2007, 68 (03) :413-421

[8] The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium [J].

Nield, D. A. ;

Kuznetsov, A. V. .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2007, 50 (9-10) :1909-1915

[9] The onset of convection in a shallow box occupied by a heterogeneous porous medium with constant flux boundaries [J].

Nield, D. A. ;

Kuznetsov, A. V. .

TRANSPORT IN POROUS MEDIA, 2007, 67 (03) :441-451

[10] The Effect of Strong Heterogeneity on the Onset of Convection in a Porous Medium [J].

Nield, D. A. ;

Kuznetsov, A. V. ;

Simmons, Craig T. .

TRANSPORT IN POROUS MEDIA, 2009, 77 (02) :169-186

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