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

Fingerprint Dive into the research topics of 'Coupling model of filtration with concentration expansion and pressure diffusion'. Together they form a unique fingerprint.

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 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

@inproceedings{67b53dee91eb428d8190ef95b27f8f59,

title = "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.",

author = "Anna Knyazeva and Yurii Chumakov",

year = "2018",

month = dec,

day = "12",

doi = "10.1063/1.5083368",

language = "English",

volume = "2051",

editor = "Fomin, {Vasily M.} and Panin, {Victor E.} and Psakhie, {Sergey G.}",

booktitle = "Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures",

publisher = "American Institute of Physics Inc.",

note = "International Symposium on Hierarchical Materials: Development and Applications for New Technologies and Reliable Structures 2018 ; Conference date: 01-10-2018 Through 05-10-2018",

}

TY - GEN

T1 - Coupling model of filtration with concentration expansion and pressure diffusion

AU - Knyazeva, Anna

AU - Chumakov, Yurii

PY - 2018/12/12

Y1 - 2018/12/12

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85059010027&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85059010027&partnerID=8YFLogxK

U2 - 10.1063/1.5083368

DO - 10.1063/1.5083368

M3 - Conference contribution

AN - SCOPUS:85059010027

VL - 2051

BT - Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures

A2 - Fomin, Vasily M.

A2 - Panin, Victor E.

A2 - Psakhie, Sergey G.

PB - American Institute of Physics Inc.

T2 - International Symposium on Hierarchical Materials: Development and Applications for New Technologies and Reliable Structures 2018

Y2 - 1 October 2018 through 5 October 2018

ER -