Travelling wave solutions for gravity fingering in porous media flows

Koondanibha Mitra, Andreas Rätz, Ben Schweizer (Corresponding author)

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Samenvatting

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.
Originele taal-2Engels
Pagina's (van-tot)120-151
Aantal pagina's32
TijdschriftJournal of Differential Equations
Volume394
DOI's
StatusGepubliceerd - 15 jun. 2024

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