Pritchard, David (2007) Gravity currents over fractured substrates in a porous medium. Journal of Fluid Mechanics, 584. pp. 415-431. ISSN 0022-1120Full text not available in this repository. (Request a copy from the Strathclyde author)
We consider the behaviour of a gravity current in a porous medium when the horizontal surface along which it spreads is punctuated either by narrow fractures or by permeable regions of limited extent. We derive steady-state solutions for the current, and show that these form part of a long-time asymptotic description which may also include a self-similar ‘leakage current’ propagating beyond the fractured region with a length proportional to t1/2. We discuss the conditions under which a current can be completely trapped by a permeable region or a series of fractures.
|Keywords:||gravity, substrates, statistics, steady-state solutions, Mathematics, Mechanics of Materials, Mechanical Engineering, Condensed Matter Physics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Pure Administrator|
|Date Deposited:||05 Nov 2011 05:21|
|Last modified:||04 May 2016 19:46|