Boundary Layer Associated with the DarcyBrinkmanBoussinesq Model for Convection in Porous Media
Abstract
We study the asymptotic behavior of the infinite DarcyPrandtl number DarcyBrinkmanBoussinesq system for convection in porous media at a small BrinkmanDarcy number. the existence of a boundary layer with thickness proportional to the square root of the BrinkmanDarcy number for the velocity field is established in both the L∞(H1) norm (in 2 and 3 d) and the L∞(L∞) norm (in 2d). This improves in several respects an earlier result of Payne and Straughan (1998) [60] where the vanishing BrinkmanDarcy number limit is studied without resolving the boundary layer. © 2010 Elsevier B.V. All rights reserved.
Recommended Citation
J. P. Kelliher et al., "Boundary Layer Associated with the DarcyBrinkmanBoussinesq Model for Convection in Porous Media," Physica D: Nonlinear Phenomena, vol. 240, no. 7, pp. 619 - 628, Elsevier, Mar 2011.
The definitive version is available at https://doi.org/10.1016/j.physd.2010.11.012
Department(s)
Mathematics and Statistics
Keywords and Phrases
Boundary Layer; BrinkmanDarcy Number; Corrector; Infinite Darcy Prandtl Number DarcyBrinkmanBoussinesq System; Infinite DarcyPrandtl Number DarcyBoussinesq System
International Standard Serial Number (ISSN)
0167-2789
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Elsevier, All rights reserved.
Publication Date
15 Mar 2011
Comments
National Science Foundation, Grant 0906440