Traveling Wave Solutions to Equations of Two-Velocity Deep Bed Filtration

Traveling Wave Solutions to Equations of Two-Velocity Deep Bed Filtration

Traveling 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 fa...

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Bibliographic Details
Published in:Moscow University mechanics bulletin Vol. 78; no. 6; pp. 159 - 164
Main Authors: Leontiev, N. E., Taurbaeva, K.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01-12-2023
Springer Nature B.V
Subjects:
Classical Mechanics
Filtration
Physics
Physics and Astronomy
Quadratures
Traveling waves
flow through porous media
exact solution
suspension
deep bed filtration
clogging
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Summary:Traveling 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. The solutions that may be interpreted as a clogging wave structure are presented.
ISSN:0027-1330
1934-8452
DOI:10.3103/S0027133023060018