Bidisperse filtration problem with non-monotonic retention profiles

DOI10.1007/S10231-022-01227-5zbMath1500.76083OpenAlexW4293068749MaRDI QIDQ2088051

Liudmila I. Kuzmina, Maxim D. Astakhov, Yuri V. Osipov

Publication date: 21 October 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-022-01227-5

zbMATH Keywords

weak solutionexistenceuniquenesssuspensionmethod of characteristicsTaylor expansiontraveling wavecolloidquasilinear hyperbolic systemone-dimensional deep bed filtration

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Suspensions (76T20)

Cites Work

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• Asymptotics for filtration of polydisperse suspension with small impurities
• Problem of deep bed filtration in a porous medium with the initial deposit
• Plugging by hydrodynamic bridging during flow of stable colloidal particles within cylindrical pores
• Exact Solution for Deep Bed Filtration with Finite Blocking Time

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