Axisymmetric viscous gravity currents flowing over a porous medium

Details Axisymmetric viscous gravity currents flowing over a porous medium Axisymmetric viscous gravity currents flowing over a porous medium

2009-01-28

arxiv.org/abs/0901.4361v1

Journal of Fluid Mechanics, Volume 622 (2009), pages 135-144

Physics

Fluid Dynamics

11 pages, 6 figures, 1 table

Scientific paper

10.1017/S0022112008005223

We study the axisymmetric propagation of a viscous gravity current over a deep porous medium into which it also drains. A model for the propagation and drainage of the current is developed and solved numerically in the case of constant input from a point source. In this case, a steady state is possible in which drainage balances the input, and we present analytical expressions for the resulting steady profile and radial extent. We demonstrate good agreement between our experiments, which use a bed of vertically aligned tubes as the porous medium, and the theoretically predicted evolution and steady state. However, analogous experiments using glass beads as the porous medium exhibit a variety of unexpected behaviours, including overshoot of the steady-state radius and subsequent retreat, thus highlighting the importance of the porous medium geometry and permeability structure in these systems.

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