Cart (Loading....) | Create Account
Close category search window

Onset of thermal convection in an anisotropic and inhomogeneous porous layer underlying a fluid layer

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $31
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Chen, Falin ; Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10764, Republic of China ; Hsu, Long H.

Your organization might have access to this article on the publisher's site. To check, click on this link: 

The onset of thermal convection in a single‐component fluid layer bounded above by a rigid wall and saturating an underlying porous medium whose permeability and thermal diffusivity may be anisotropic and inhomogeneous is considered. A linear stability analysis is used to systematically implement a parametric study that covers a wide range of depth ratio ζ (ratio of fluid layer depth to saturated porous layer depth), the permeability ratio ξ (ratio of horizontal to vertical permeability), thermal diffusivity ratio ξT (ratio of horizontal to vertical thermal diffusivity), and inhomogeneities of permeability and thermal diffusivity of the porous medium in the vertical direction. For ζ≤0.1, the critical Rayleigh number Rcm was found to be essentially an explicit function of ξT/ξ and the corresponding critical wave number acm was found to be a function of (ξ×ξT)-1/4; since the porous layer dominates the two‐layer system by convection, the anisotropic and inhomogeneous effects are significant. For ζ≥0.2, however, no explicit function for either Rcm or acm is obtained and the anisotropic and inhomogeneous effects are not significant because the onset of convection is largely confined to the fluid layer. Generally, the vertically increasing permeability leads to a less stable state with smaller critical wavelength; and the vertically increasing thermal diffusivity leads to a more stable state with larger critical wavelength.≪lz≫ ≪lz≫

Published in:

Journal of Applied Physics  (Volume:69 ,  Issue: 9 )

Date of Publication:

May 1991

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.