Long wave transition to instability of flows in horizontally extended domains of porous media
- đ¤ Speaker: Professor Andrej Il'ichev, Steklov Mathematical Institute, Russian Academy of Science and Professor George Tsypkin, Institute for Problems in Mechanics
- đ Date & Time: Thursday 31 May 2007, 10:30 - 11:30
- đ Venue: Open Plan Area, BP Institute, Madingley Rise CB3 0EZ
Abstract
A new mechanism of transition to instability is treated arising for vertical motions with phase transition in horizontally infinite two-dimensional domains of a porous medium. Destabilization of a plane interface takes place at zero wave number being accompanied by reversible bifurcations indicating the formation of a secondary flow with a shifted phase transition interface. Sub- and supercritical structures in a neighbourhood of the threshold of instability obey the weakly nonlinear diffusion equation. As an illustration of the transition in question we consider two physically different examples of motion in a porous medium.
Series This talk is part of the Institute for Energy and Environmental Flows (IEEF) series.
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Professor Andrej Il'ichev, Steklov Mathematical Institute, Russian Academy of Science and Professor George Tsypkin, Institute for Problems in Mechanics
Thursday 31 May 2007, 10:30-11:30