Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Journal of Porous Media
Facteur d'impact: 1.061 Facteur d'impact sur 5 ans: 1.151 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.i2.20
16 pages

Numerical Study of Natural Convection in a Vertical Cylindrical Annulus Using a Non-Darcy Equation

B. M. R. Prasanna
Department of Mathematics, Siddaganga Institute of Technology, Tumkur 572 103, India
M. Venkatachalappa
UGC Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore 560 001, India

RÉSUMÉ

A numerical Investigation of transient free convection in a vertical cylindrical annulus filled with a fluid saturated porous medium with the inner wall heated to a uniform temperature, the outer wall cooled to a uniform temperature and maintaining top and bottom boundaries at adiabatic condition, bos been carried out. A finite difference implicit method which incorporates upwind differencing for nonlinear convective terms and the successive line over relaxation (SLOR) method for convergence are used to solve the coupled nonlinear governing equations. Heat transfer rate and flow fields are obtained for wide range of Rayleigh numbers Ra ranging from 103 to 106, Darcy numbers Da ranging from 10-1 to 10-3, radii ratio l in the range 1 Ј l Ј 10, and aspect ratio A in the range 1 Ј A Ј 2. The numerical results indicate that the temperature and velocity fields are significantly modified and the beat transfer rate is decreased as the Darcy number decreases. The temperature and velocity fields are significantly modified by the radii ratio. The rate of heat transfer increases with an increase in radii ratio. At a high Rayleigh number the curvature effect on heat transfer is insignificant. The numerical results further indicate that an increase in viscosity ratio (L) reduces the Nusselt number by enhancing the contribution of the viscous diffusion term.


Articles with similar content:

NON-DARCY BUOYANCY FLOW IN A SQUARE CAVITY FILLED WITH POROUS MEDIUM FOR VARIOUS TEMPERATURE DIFFERENCE ASPECT RATIOS
Journal of Porous Media, Vol.14, 2011, issue 7
Tanmay Basak, Satyajit Roy, M. Sathiyamoorthy
EFFECTS OF OUT OF PHASE AND INCLINATION ANGLES ON NATURAL CONVECTION HEAT TRANSFER FLOW OF AIR INSIDE A SINUSOIDAL CORRUGATED ENCLOSURE WITH SPATIALLY VARIABLE WALL TEMPERATURE
Journal of Enhanced Heat Transfer, Vol.18, 2011, issue 5
Salam Hadi Hussain, Rehab Noor Mohammed
DOUBLE DIFFUSIVE NATURAL CONVECTION IN A SQUARE ENCLOSURE FILLED WITH COPPER-WATER NANOFLUID INDUCED BY OPPOSITE TEMPERATURE AND CONCENTRATION GRADIENTS
Computational Thermal Sciences: An International Journal, Vol.10, 2018, issue 4
Natesan Saritha, A. Senthil Kumar
Nonsimilarity Solutions for Mixed Convection Flow Along Nonisothermal Vertical Plate Embedded in Porous Media with Variable Permeability
Journal of Porous Media, Vol.5, 2002, issue 2
Gh. M. Omer, I. A. Hassanien
HEAT TRANSFER ENHANCEMENT OF UNIFORMLY/LINEARLY HEATED SIDE WALL IN A SQUARE ENCLOSURE UTILIZING ALUMINA−WATER NANOFLUID
Computational Thermal Sciences: An International Journal, Vol.9, 2017, issue 3
Senthil Kumar Arumugam, Sathiyamoorthy Murugesan, Ali J. Chamkha, Saritha Natesan