Abstract:
Travelling wave solutions to the deep bed filtration system are constructed for a model with different velocities of a carrier fluid and suspended particles. The solution in quadratures is obtained when the velocity of the carrier fluid and that of the particles differ by a concentration-dependent factor. For some special cases, the physically realizable domains are found in the space of governing parameters. Solutions that may be interpreted as a clogging wave structure are presented.
Key words:flow through porous media, suspension, deep bed filtration, exact solution, clogging.
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