Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

Volumes:
Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v5.i3.20
12 pages

Effects of Throughflow and Internal Heat Generation on Convective Instabilities in an Anisotropic Porous Layer

A. Khalili
Max-Planck Institute for Marine Microbiology, Celsiusstr. 1,28359 Bremen, Germany
M. Huettel
Max-Planck Institute for Marine Microbiology, Celsiusstr. 1,28359 Bremen, Germany

RÉSUMÉ

Convective instabilities caused by a nonunlform temperature gradient due to vertical through/low and internal heat generation were investigated in an anisotropic porous layer. The boundaries are taken to be either impermeable or porous and are perfect conductors of heat. The Forchheimer-extended Darcy model is used to describe the/low in the porous medium. The resulting eigenvalue problem is solved numerically by the Galerkin method with a modified external Rayleigh number as the eigenvalue. Both anisotropic parameters (i.e., effective thermal diffusivity, h, and permeability, x) appear through their ratio h/xonly. We found that an increase in h/x increases the stability of the system. Furthermore, we observed that in the absence of internal heat generation, throughflow stabilizes when the boundaries are symmetric and destabilizes when they are asymmetric. However, if an internal heat source exists, throughflow destabilizes the system irrespective of the boundary types considered. A more precise control of the buoyancy-driven instability may be achieved by tuning the anisotropy parameters and internal heat source strength.


Articles with similar content:

EFFECT OF THROUGHFLOW ON DOUBLE DIFFUSIVE CONVECTION IN A POROUS MEDIUM WITH CONCENTRATION BASED INTERNAL HEAT SOURCE
Journal of Porous Media, Vol.19, 2016, issue 4
Anjanna Matta , P. A. Lakshmi Narayana, N. Deepika
Marangoni Convection inWater-Isopropanol Mixtures in the Presence of Soret Effect
International Journal of Fluid Mechanics Research, Vol.38, 2011, issue 4
M. Ziad Saghir, Mohammad A Rahman
On the Effectiveness of Porosity on Stagnation Point Flow with Heat Transfer over a Permeable Surface
Journal of Porous Media, Vol.10, 2007, issue 6
Hazem Ali Attia
STABILITY OF AN ANISOTROPIC POROUS LAYER WITH INTERNAL HEAT SOURCE AND BRINKMAN EFFECTS
Special Topics & Reviews in Porous Media: An International Journal, Vol.10, 2019, issue 1
Reena Nandal, Amit Mahajan
HOMOGENEOUS-HETEROGENEOUS REACTIONS IN AN EYRING-POWELL FLUID OVER A STRETCHING SHEET IN A POROUS MEDIUM
Special Topics & Reviews in Porous Media: An International Journal, Vol.7, 2016, issue 1
Faqiha Sultan, Najeeb Alam Khan