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تسجيل مستخدم جديدTravelling wave solutions for gravity fingering in porous media flows
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We study an imbibition problem for porous media. When a wetted layer is above a dry medium, gravity leads to the propagation of the water downwards into the medium. In experiments, the occurrence of fingers was observed, a phenomenon that can be described with models that include hysteresis. In the present paper, we describe a single finger in a moving frame and set up a free boundary problem to describe the shape and the motion of one finger that propagates with a constant speed. We show the existence of solutions to the travelling wave problem and investigate the system numerically.
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423 -
D. Bazeia (Center for Theoretical Physics
, Laboratory for Nuclearn Science
, Department of Physics
1998
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