Stokes Flow past a Swarm of Porous Nanocylindrical Particles Enclosing a Solid Core
This paper concerns the Stokes flow of an incompressible viscous fluid past a swarm of porous nanocylindrical particles enclosing a solid cylindrical core with Kuwabara boundary condition. An aggregate of porous nanocylindrical particles is considered as a hydro-dynamically equivalent to a solid cyl...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/651910 |
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| author | Satya Deo Pramod Kumar Yadav |
| author_facet | Satya Deo Pramod Kumar Yadav |
| author_sort | Satya Deo |
| collection | DOAJ |
| description | This paper concerns the Stokes flow of an incompressible viscous fluid past a swarm of porous nanocylindrical particles enclosing a solid cylindrical core with Kuwabara boundary condition. An aggregate of porous nanocylindrical particles is considered as a hydro-dynamically equivalent to a solid cylindrical core with concentric porous cylindrical shell. The Brinkman equation inside the porous cylindrical shell and the Stokes equation outside the porous cylindrical shell in their stream function formulations are used. Explicit expressions for the stream functions in both regions have been investigated. The drag force acting at each nanoporous cylindrical particle in a cell is evaluated. Also, we solved the same problem by using Happel boundary condition on the hypothetical cell. In certain limiting cases, drag force converges to pre-existing analytical results, such as the drag on a porous circular cylinder and the drag on a solid cylinder in Kuwabara's cell or Happel's cell. Representative results are then discussed and compared for both cases and presented in graphical form by using Mathematica software. |
| format | Article |
| id | doaj-art-e74d71bbf453485486aa3ebbacde662d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e74d71bbf453485486aa3ebbacde662d2025-02-03T01:02:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/651910651910Stokes Flow past a Swarm of Porous Nanocylindrical Particles Enclosing a Solid CoreSatya Deo0Pramod Kumar Yadav1Department of Mathematics, University of Allahabad, Allahabad 211002, IndiaDepartment of Mathematics, University of Allahabad, Allahabad 211002, IndiaThis paper concerns the Stokes flow of an incompressible viscous fluid past a swarm of porous nanocylindrical particles enclosing a solid cylindrical core with Kuwabara boundary condition. An aggregate of porous nanocylindrical particles is considered as a hydro-dynamically equivalent to a solid cylindrical core with concentric porous cylindrical shell. The Brinkman equation inside the porous cylindrical shell and the Stokes equation outside the porous cylindrical shell in their stream function formulations are used. Explicit expressions for the stream functions in both regions have been investigated. The drag force acting at each nanoporous cylindrical particle in a cell is evaluated. Also, we solved the same problem by using Happel boundary condition on the hypothetical cell. In certain limiting cases, drag force converges to pre-existing analytical results, such as the drag on a porous circular cylinder and the drag on a solid cylinder in Kuwabara's cell or Happel's cell. Representative results are then discussed and compared for both cases and presented in graphical form by using Mathematica software.http://dx.doi.org/10.1155/2008/651910 |
| spellingShingle | Satya Deo Pramod Kumar Yadav Stokes Flow past a Swarm of Porous Nanocylindrical Particles Enclosing a Solid Core International Journal of Mathematics and Mathematical Sciences |
| title | Stokes Flow past a Swarm of Porous Nanocylindrical Particles Enclosing a Solid Core |
| title_full | Stokes Flow past a Swarm of Porous Nanocylindrical Particles Enclosing a Solid Core |
| title_fullStr | Stokes Flow past a Swarm of Porous Nanocylindrical Particles Enclosing a Solid Core |
| title_full_unstemmed | Stokes Flow past a Swarm of Porous Nanocylindrical Particles Enclosing a Solid Core |
| title_short | Stokes Flow past a Swarm of Porous Nanocylindrical Particles Enclosing a Solid Core |
| title_sort | stokes flow past a swarm of porous nanocylindrical particles enclosing a solid core |
| url | http://dx.doi.org/10.1155/2008/651910 |
| work_keys_str_mv | AT satyadeo stokesflowpastaswarmofporousnanocylindricalparticlesenclosingasolidcore AT pramodkumaryadav stokesflowpastaswarmofporousnanocylindricalparticlesenclosingasolidcore |