Coupling model of filtration with concentration expansion and pressure diffusion

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 language	English
Title of host publication	Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures
Editors	Vasily M. Fomin, Victor E. Panin, Sergey G. Psakhie
Publisher	American Institute of Physics Inc.
Volume	2051
ISBN (Electronic)	9780735417779
DOIs	https://doi.org/10.1063/1.5083368
Publication status	Published - 12 Dec 2018
Event	International Symposium on Hierarchical Materials: Development and Applications for New Technologies and Reliable Structures 2018 - Tomsk, Russian Federation Duration: 1 Oct 2018 → 5 Oct 2018

Conference

Conference	International Symposium on Hierarchical Materials: Development and Applications for New Technologies and Reliable Structures 2018
Country	Russian Federation
City	Tomsk
Period	1.10.18 → 5.10.18

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1063/1.5083368

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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 proceeding › Conference 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

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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.",

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AB - 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.

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