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Convective Plumes in Porous Media: The Effect of Asymmetrically Placed Boundaries


Bassom, AP and Rees, DAS and Storesletten, L, Convective Plumes in Porous Media: The Effect of Asymmetrically Placed Boundaries, International Communications in Heat and Mass Transfer, 28, (1) pp. 31-38. ISSN 0735-1933 (2001) [Refereed Article]

DOI: doi:10.1016/S0735-1933(01)00210-X


A boundary layer analysis is performed for free convective plume induced by a uniform line source which is placed at the intersection of two semi-infinite planes. Particular emphasis is placed on how the presence of the planes, which are not placed symmetrically with respect to the vertical affects the direction of the plume. To this end, a two-term boundary layer expansion together and a one-term approximation of the flow in the outer regions either side of the plume are performed using the method of matched asymptotic expansions. A closed-form solution is deduced which determines the orientation of the plume in terms of the inclinations of the bounding planes. We find that asymmetrically placed planes result in a vertical plume, but that the plume is aligned differently otherwise.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107127
Year Published:2001
Web of Science® Times Cited:6
Deposited By:Mathematics and Physics
Deposited On:2016-03-04
Last Modified:2016-07-08

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