Theoretical and numerical prediction of the permeability of fibrous porous media

Aziz Kudaikulov; Christophe Josserand; Aidarkhan Kaltayev

doi:10.1007/978-3-319-25058-8_9

Theoretical and numerical prediction of the permeability of fibrous porous media

Aziz Kudaikulov
, Christophe Josserand
, Aidarkhan Kaltayev

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, the permeability of ordered fibrous porous media for normal flows is predicted theoretically and numerically. Moreover, microscopic velocity profiles in the “unit cell” are investigated in detail for normal flows. Porous material is represented by a “unit cell” which is assumed to be repeated throughout the media and 1D fibers are modeled. Fibers are presented as cylinders with the same radii. Planar flow that perpendicular to the axes of cylinders is considered in this paper. All numerical calculations are performed using Gerris program [6]. The quantitative comparison of numerical and theoretical results of computation of the permeability of ordered fibrous media is reasonably good and is about 10–15%.

Original language	English
Title of host publication	Mathematical Modeling of Technological Processes - 8th International Conference, CITech 2015, Proceedings
Editors	Yurii Shokin, Nargozy Danaev, Darkhan Akhmed-Zaki D.
Publisher	Springer Verlag
Pages	85-93
Number of pages	9
ISBN (Print)	9783319250571
DOIs	https://doi.org/10.1007/978-3-319-25058-8_9
Publication status	Published - 1 Jan 2015
Externally published	Yes
Event	8th International Conference on Mathematical Modeling of Technological Processes, CITech 2015 - Almaty, Kazakhstan Duration: 24 Sept 2015 → 27 Sept 2015

Publication series

Name	Communications in Computer and Information Science
Volume	549
ISSN (Print)	1865-0929

Conference

Conference	8th International Conference on Mathematical Modeling of Technological Processes, CITech 2015
Country/Territory	Kazakhstan
City	Almaty
Period	24/09/15 → 27/09/15

Keywords

Darcys law
Fibrous porous media with periodic structure
Navierstokes equations
Permeability of fibrous porous media

Access to Document

10.1007/978-3-319-25058-8_9

Cite this

Kudaikulov, A., Josserand, C., & Kaltayev, A. (2015). Theoretical and numerical prediction of the permeability of fibrous porous media. In Y. Shokin, N. Danaev, & D. Akhmed-Zaki D. (Eds.), Mathematical Modeling of Technological Processes - 8th International Conference, CITech 2015, Proceedings (pp. 85-93). (Communications in Computer and Information Science; Vol. 549). Springer Verlag. https://doi.org/10.1007/978-3-319-25058-8_9

Kudaikulov, Aziz ; Josserand, Christophe ; Kaltayev, Aidarkhan. / Theoretical and numerical prediction of the permeability of fibrous porous media. Mathematical Modeling of Technological Processes - 8th International Conference, CITech 2015, Proceedings. editor / Yurii Shokin ; Nargozy Danaev ; Darkhan Akhmed-Zaki D. Springer Verlag, 2015. pp. 85-93 (Communications in Computer and Information Science).

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title = "Theoretical and numerical prediction of the permeability of fibrous porous media",

abstract = "In this paper, the permeability of ordered fibrous porous media for normal flows is predicted theoretically and numerically. Moreover, microscopic velocity profiles in the “unit cell” are investigated in detail for normal flows. Porous material is represented by a “unit cell” which is assumed to be repeated throughout the media and 1D fibers are modeled. Fibers are presented as cylinders with the same radii. Planar flow that perpendicular to the axes of cylinders is considered in this paper. All numerical calculations are performed using Gerris program [6]. The quantitative comparison of numerical and theoretical results of computation of the permeability of ordered fibrous media is reasonably good and is about 10–15\%.",

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author = "Aziz Kudaikulov and Christophe Josserand and Aidarkhan Kaltayev",

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Kudaikulov, A, Josserand, C & Kaltayev, A 2015, Theoretical and numerical prediction of the permeability of fibrous porous media. in Y Shokin, N Danaev & D Akhmed-Zaki D. (eds), Mathematical Modeling of Technological Processes - 8th International Conference, CITech 2015, Proceedings. Communications in Computer and Information Science, vol. 549, Springer Verlag, pp. 85-93, 8th International Conference on Mathematical Modeling of Technological Processes, CITech 2015, Almaty, Kazakhstan, 24/09/15. https://doi.org/10.1007/978-3-319-25058-8_9

Theoretical and numerical prediction of the permeability of fibrous porous media. / Kudaikulov, Aziz; Josserand, Christophe; Kaltayev, Aidarkhan.
Mathematical Modeling of Technological Processes - 8th International Conference, CITech 2015, Proceedings. ed. / Yurii Shokin; Nargozy Danaev; Darkhan Akhmed-Zaki D. Springer Verlag, 2015. p. 85-93 (Communications in Computer and Information Science; Vol. 549).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Theoretical and numerical prediction of the permeability of fibrous porous media

AU - Kudaikulov, Aziz

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N1 - Publisher Copyright: © Springer International Publishing Switzerland 2015.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - In this paper, the permeability of ordered fibrous porous media for normal flows is predicted theoretically and numerically. Moreover, microscopic velocity profiles in the “unit cell” are investigated in detail for normal flows. Porous material is represented by a “unit cell” which is assumed to be repeated throughout the media and 1D fibers are modeled. Fibers are presented as cylinders with the same radii. Planar flow that perpendicular to the axes of cylinders is considered in this paper. All numerical calculations are performed using Gerris program [6]. The quantitative comparison of numerical and theoretical results of computation of the permeability of ordered fibrous media is reasonably good and is about 10–15%.

AB - In this paper, the permeability of ordered fibrous porous media for normal flows is predicted theoretically and numerically. Moreover, microscopic velocity profiles in the “unit cell” are investigated in detail for normal flows. Porous material is represented by a “unit cell” which is assumed to be repeated throughout the media and 1D fibers are modeled. Fibers are presented as cylinders with the same radii. Planar flow that perpendicular to the axes of cylinders is considered in this paper. All numerical calculations are performed using Gerris program [6]. The quantitative comparison of numerical and theoretical results of computation of the permeability of ordered fibrous media is reasonably good and is about 10–15%.

KW - Darcys law

KW - Fibrous porous media with periodic structure

KW - Navierstokes equations

KW - Permeability of fibrous porous media

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Kudaikulov A, Josserand C, Kaltayev A. Theoretical and numerical prediction of the permeability of fibrous porous media. In Shokin Y, Danaev N, Akhmed-Zaki D. D, editors, Mathematical Modeling of Technological Processes - 8th International Conference, CITech 2015, Proceedings. Springer Verlag. 2015. p. 85-93. (Communications in Computer and Information Science). doi: 10.1007/978-3-319-25058-8_9

Theoretical and numerical prediction of the permeability of fibrous porous media

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