Hydrodynamic Permeability in Axisymmetric Flows of Viscous Fluids through an Annular Domains with Porous Layer
Mass, energy, and momentum transfer processes between fluid-saturated porous media and the adjacent free flow occur in many natural and technical systems. The flow dynamics in the porous region and the adjacent free flow is strongly controlled by the mechanisms at the common interface and conditions...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/3/585 |
| _version_ | 1797608951636819968 |
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| author | Constantin Fetecau Itrat Abbas Mirza Dumitru Vieru |
| author_facet | Constantin Fetecau Itrat Abbas Mirza Dumitru Vieru |
| author_sort | Constantin Fetecau |
| collection | DOAJ |
| description | Mass, energy, and momentum transfer processes between fluid-saturated porous media and the adjacent free flow occur in many natural and technical systems. The flow dynamics in the porous region and the adjacent free flow is strongly controlled by the mechanisms at the common interface and conditions on the outer surface of the free-flow. The present paper considers unsteady axisymmetric flows of viscous fluids through an annular domain with a porous layer covering a cylindrical solid core. Fluid flow in the domain filled with porous material and in transparent domain is described by Brinkman model and Navier Stokes equations, respectively. Analytical solutions for the dimensionless velocity fields in the Laplace domain are determined using Bessel functions, Laplace transform, and the appropriate interface and boundary conditions. The inversion of the Laplace transforms is done with the help of a numerical algorithm. In addition, the hydrodynamic permeability is determined. The dependence of the dimensionless velocity fields and of hydrodynamic permeability on characteristic parameters of the porous layer is numerically and graphically discussed. Since the velocity on the outer surface is given by an arbitrary function of time, the results in this paper could be used to study various filtration problems. |
| first_indexed | 2024-03-11T05:50:44Z |
| format | Article |
| id | doaj.art-ee2e14a246f641c4987b0a7241ed5e8e |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T05:50:44Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-ee2e14a246f641c4987b0a7241ed5e8e2023-11-17T14:08:04ZengMDPI AGSymmetry2073-89942023-02-0115358510.3390/sym15030585Hydrodynamic Permeability in Axisymmetric Flows of Viscous Fluids through an Annular Domains with Porous LayerConstantin Fetecau0Itrat Abbas Mirza1Dumitru Vieru2Section of Mathematics, Academy of Romanian Scientists, 050094 Bucharest, RomaniaDepartment of Mathematics, The Islamia University of Bahawalpur, Punjab Bahawalpur 63100, PakistanDepartment of Theoretical Mechanics, Technical University of Iasi, 700050 Iasi, RomaniaMass, energy, and momentum transfer processes between fluid-saturated porous media and the adjacent free flow occur in many natural and technical systems. The flow dynamics in the porous region and the adjacent free flow is strongly controlled by the mechanisms at the common interface and conditions on the outer surface of the free-flow. The present paper considers unsteady axisymmetric flows of viscous fluids through an annular domain with a porous layer covering a cylindrical solid core. Fluid flow in the domain filled with porous material and in transparent domain is described by Brinkman model and Navier Stokes equations, respectively. Analytical solutions for the dimensionless velocity fields in the Laplace domain are determined using Bessel functions, Laplace transform, and the appropriate interface and boundary conditions. The inversion of the Laplace transforms is done with the help of a numerical algorithm. In addition, the hydrodynamic permeability is determined. The dependence of the dimensionless velocity fields and of hydrodynamic permeability on characteristic parameters of the porous layer is numerically and graphically discussed. Since the velocity on the outer surface is given by an arbitrary function of time, the results in this paper could be used to study various filtration problems.https://www.mdpi.com/2073-8994/15/3/585viscous fluidporous layerhydrodynamic permeabilityunsteady motionsemi-analytic solutions |
| spellingShingle | Constantin Fetecau Itrat Abbas Mirza Dumitru Vieru Hydrodynamic Permeability in Axisymmetric Flows of Viscous Fluids through an Annular Domains with Porous Layer Symmetry viscous fluid porous layer hydrodynamic permeability unsteady motion semi-analytic solutions |
| title | Hydrodynamic Permeability in Axisymmetric Flows of Viscous Fluids through an Annular Domains with Porous Layer |
| title_full | Hydrodynamic Permeability in Axisymmetric Flows of Viscous Fluids through an Annular Domains with Porous Layer |
| title_fullStr | Hydrodynamic Permeability in Axisymmetric Flows of Viscous Fluids through an Annular Domains with Porous Layer |
| title_full_unstemmed | Hydrodynamic Permeability in Axisymmetric Flows of Viscous Fluids through an Annular Domains with Porous Layer |
| title_short | Hydrodynamic Permeability in Axisymmetric Flows of Viscous Fluids through an Annular Domains with Porous Layer |
| title_sort | hydrodynamic permeability in axisymmetric flows of viscous fluids through an annular domains with porous layer |
| topic | viscous fluid porous layer hydrodynamic permeability unsteady motion semi-analytic solutions |
| url | https://www.mdpi.com/2073-8994/15/3/585 |
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