Coupling model of filtration with concentration expansion and pressure diffusion

Anna Knyazeva, Yurii Chumakov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The nonlinear model of filtration in stationary mode for plane layer is presented. The concentration expansion phenomenon accompanied by additional pressure evaluation and pressure diffusion are taken into consideration. Dimen-sionless complexes containing the relations between various physical parameters were distinguished. Nonlinear coupling model was realized numerically. The qualitative regularities in concentration and velocity distribution were detected. The different behavior in concentration and velocity was demonstrated for low and high fluid compressibility. Pressure diffusion leads to minimum appearing in concentration curves for fluid with high compressibility. Nonlinear con-centration distribution with the gradient rising together with the velocity is observed for fluid with low compressibility.

Original languageEnglish
Title of host publicationProceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures
EditorsVasily M. Fomin, Victor E. Panin, Sergey G. Psakhie
PublisherAmerican Institute of Physics Inc.
Volume2051
ISBN (Electronic)9780735417779
DOIs
Publication statusPublished - 12 Dec 2018
EventInternational Symposium on Hierarchical Materials: Development and Applications for New Technologies and Reliable Structures 2018 - Tomsk, Russian Federation
Duration: 1 Oct 20185 Oct 2018

Conference

ConferenceInternational Symposium on Hierarchical Materials: Development and Applications for New Technologies and Reliable Structures 2018
CountryRussian Federation
CityTomsk
Period1.10.185.10.18

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Knyazeva, A., & Chumakov, Y. (2018). Coupling model of filtration with concentration expansion and pressure diffusion. In V. M. Fomin, V. E. Panin, & S. G. Psakhie (Eds.), Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures (Vol. 2051). [020125] American Institute of Physics Inc.. https://doi.org/10.1063/1.5083368