Coupling model of filtration with concentration expansion and pressure diffusion

Anna Knyazeva, Yurii Chumakov

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

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

Fingerprint

compressibility
expansion
fluids
regularity
velocity distribution
gradients
evaluation
curves

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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

Coupling model of filtration with concentration expansion and pressure diffusion. / Knyazeva, Anna; Chumakov, Yurii.

Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures. ed. / Vasily M. Fomin; Victor E. Panin; Sergey G. Psakhie. Vol. 2051 American Institute of Physics Inc., 2018. 020125.

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

Knyazeva, A & Chumakov, Y 2018, Coupling model of filtration with concentration expansion and pressure diffusion. in VM Fomin, VE Panin & SG Psakhie (eds), Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures. vol. 2051, 020125, American Institute of Physics Inc., International Symposium on Hierarchical Materials: Development and Applications for New Technologies and Reliable Structures 2018, Tomsk, Russian Federation, 1.10.18. https://doi.org/10.1063/1.5083368
Knyazeva A, Chumakov Y. Coupling model of filtration with concentration expansion and pressure diffusion. In Fomin VM, Panin VE, Psakhie SG, editors, Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures. Vol. 2051. American Institute of Physics Inc. 2018. 020125 https://doi.org/10.1063/1.5083368
Knyazeva, Anna ; Chumakov, Yurii. / Coupling model of filtration with concentration expansion and pressure diffusion. Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures. editor / Vasily M. Fomin ; Victor E. Panin ; Sergey G. Psakhie. Vol. 2051 American Institute of Physics Inc., 2018.
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