Symmetric and Non-Symmetric Flows of Burgers’ Fluids through Porous Media between Parallel Plates
Unidirectional unsteady flows of the incompressible Burgers’ fluids between two infinite horizontal parallel plates are analytically studied when the magnetic and porous effects are taken into consideration. The fluid motion is induced by the two plates, which move in their planes with time-dependen...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/7/1109 |
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| author | Constantin Fetecau Dumitru Vieru |
| author_facet | Constantin Fetecau Dumitru Vieru |
| author_sort | Constantin Fetecau |
| collection | DOAJ |
| description | Unidirectional unsteady flows of the incompressible Burgers’ fluids between two infinite horizontal parallel plates are analytically studied when the magnetic and porous effects are taken into consideration. The fluid motion is induced by the two plates, which move in their planes with time-dependent velocities. Exact general expressions are established both for the dimensionless velocity and shear stress fields as well as the corresponding Darcy’s resistance in the channel using the Laplace transform. If both plates move with equal velocities in the same direction, the fluid motion becomes symmetric with respect to the mid-plane between them. Otherwise, its motion is non-symmetric. To bring to light the behavior of the fluid, the dimensionless velocity profiles versus the spatial variable as well as its time evolution are presented both for the symmetric and asymmetric case. Finally, for comparison, similar graphical representations are presented together for the velocities of the incompressible Oldroyd-B and Burgers’ fluids. For large values of the time <i>t</i>, as expected, the behavior of the two different fluids is almost identical. The Darcy’s resistance against <i>y</i> is also graphically represented for the symmetric flow at different values of the time <i>t</i>. The influence of the magnetic field on the fluid motion is graphically revealed and discussed. |
| first_indexed | 2024-03-10T10:11:14Z |
| format | Article |
| id | doaj.art-f2fa9a54b4214b3fbe8f70ea7b2201ba |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T10:11:14Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-f2fa9a54b4214b3fbe8f70ea7b2201ba2023-11-22T01:11:35ZengMDPI AGSymmetry2073-89942021-06-01137110910.3390/sym13071109Symmetric and Non-Symmetric Flows of Burgers’ Fluids through Porous Media between Parallel PlatesConstantin Fetecau0Dumitru Vieru1Section of Mathematics, Academy of Romanian Scientists, 050094 Bucharest, RomaniaDepartment of Theoretical Mechanics, Technical University of Iași, 700050 Iași, RomaniaUnidirectional unsteady flows of the incompressible Burgers’ fluids between two infinite horizontal parallel plates are analytically studied when the magnetic and porous effects are taken into consideration. The fluid motion is induced by the two plates, which move in their planes with time-dependent velocities. Exact general expressions are established both for the dimensionless velocity and shear stress fields as well as the corresponding Darcy’s resistance in the channel using the Laplace transform. If both plates move with equal velocities in the same direction, the fluid motion becomes symmetric with respect to the mid-plane between them. Otherwise, its motion is non-symmetric. To bring to light the behavior of the fluid, the dimensionless velocity profiles versus the spatial variable as well as its time evolution are presented both for the symmetric and asymmetric case. Finally, for comparison, similar graphical representations are presented together for the velocities of the incompressible Oldroyd-B and Burgers’ fluids. For large values of the time <i>t</i>, as expected, the behavior of the two different fluids is almost identical. The Darcy’s resistance against <i>y</i> is also graphically represented for the symmetric flow at different values of the time <i>t</i>. The influence of the magnetic field on the fluid motion is graphically revealed and discussed.https://www.mdpi.com/2073-8994/13/7/1109Burgers’ fluidssymmetric and non-symmetric flowsparallel platesporous media |
| spellingShingle | Constantin Fetecau Dumitru Vieru Symmetric and Non-Symmetric Flows of Burgers’ Fluids through Porous Media between Parallel Plates Symmetry Burgers’ fluids symmetric and non-symmetric flows parallel plates porous media |
| title | Symmetric and Non-Symmetric Flows of Burgers’ Fluids through Porous Media between Parallel Plates |
| title_full | Symmetric and Non-Symmetric Flows of Burgers’ Fluids through Porous Media between Parallel Plates |
| title_fullStr | Symmetric and Non-Symmetric Flows of Burgers’ Fluids through Porous Media between Parallel Plates |
| title_full_unstemmed | Symmetric and Non-Symmetric Flows of Burgers’ Fluids through Porous Media between Parallel Plates |
| title_short | Symmetric and Non-Symmetric Flows of Burgers’ Fluids through Porous Media between Parallel Plates |
| title_sort | symmetric and non symmetric flows of burgers fluids through porous media between parallel plates |
| topic | Burgers’ fluids symmetric and non-symmetric flows parallel plates porous media |
| url | https://www.mdpi.com/2073-8994/13/7/1109 |
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