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 | |
| 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 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
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
}
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.
ER -