Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2016011763
pages 163-176

NATURAL CONVECTION IN TALL AND SHALLOW POROUS RECTANGULAR ENCLOSURES HEATED FROM BELOW

Zineddine Alloui
Département du socle commun des Sciences et Technique, Faculté de Technologie, Université El-Hadj-Lakhdar Batna, 05000 Batna, Algeria
Patrick Vasseur
Ecole Polytechnique, Université de Montréal, C.P. 6079, Succ. "Centre ville", Montréal, Québec H3C 3A7, Canada

ABSTRACT

The Darcy model with the Boussinesq approximation is used to study both analytically and numerically natural convection in a porous medium saturated by a Newtonian fluid. The geometry considered is a rectangular cavity heated from below and cooled from above by a constant heat flux while the sidewalls are maintained adiabatic. The governing parameters for the problem are the thermal Darcy-Rayleigh number R and the aspect ratio of the cavity A. In the limit of extremely confined geometries the parallel flow approximation is used to predict the flow behavior in the case of a tall vertical layer (A >> 1) or shallow horizontal one (A << 1). For a tall cavity, the existence of multicellular flow patterns, consisting of m vertical cells, is predicted by the present analytical model. Also, for a shallow cavity, it is demonstrated that the flow pattern can be either unicellular or multicellular. This is confirmed by the numerical results obtained by solving the full governing equations.


Articles with similar content:

Soret and Double Diffusive Convection in a Porous Cavity
Journal of Porous Media, Vol.7, 2004, issue 1
N. Boutana, Patrick Vasseur, F. Joly, Ali Bahloul
ASPECT RATIO EFFECTS ON LAMINAR RAYLEIGH-BENARD CONVECTION OF POWER-LAW FLUIDS IN RECTANGULAR ENCLOSURES: A NUMERICAL INVESTIGATION
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2015, issue
Sahin Yigit, Robert J. Poole, Nilanjan Chakraborty
Onset of a Double-Diffusive Convective Regime in a Rectangular Porous Cavity
Journal of Porous Media, Vol.1, 1998, issue 1
Mejdi Azaiez, Marie-Catherine Charrier-Mojtabi, Mohammad Karimi-Fard, Abdelkader Mojtabi
ANALYTICAL AND NUMERICAL STUDY OF DOUBLE DIFFUSIVE PARALLEL FLOW INDUCED IN A VERTICAL POROUS LAYER SUBJECTED TO CONSTANT HEAT AND MASS FLUXES
ICHMT DIGITAL LIBRARY ONLINE, Vol.1, 2000, issue
Mohammed Hasnaoui, Samira Douamna, Abdelkhalk Amahmid
NATURAL CONVECTIVE HEAT TRANSFER IN A COMPOSED THERMAL DIODE
Proceedings of Symposium on Energy Engineering in the 21st Century (SEE2000) Volume I-IV, Vol.0, 2000, issue
I.- J. Hwang, U.-C. Jeong, Youn J. Kim