Unsteady Stokes Flow through a Porous Pipe with Periodic Suction and Injection with Slip Conditions
The problem of unsteady Stokes flow of certain Newtonian fluids in a circular pipe of uniform cross section is discussed. The pipe is uniformly porous. The unsteady Navier-Stokes equations for the system in cylindrical polar coordinates have been solved analytically to obtain a complete description...
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2020-12-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_15478_fd9286856b0ac8a5902c9e061926c1c3.pdf |
| _version_ | 1818966343923269632 |
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| author | Zarqa Bano Abdul Majeed Siddiqui Kaleemullah Bhatti |
| author_facet | Zarqa Bano Abdul Majeed Siddiqui Kaleemullah Bhatti |
| author_sort | Zarqa Bano |
| collection | DOAJ |
| description | The problem of unsteady Stokes flow of certain Newtonian fluids in a circular pipe of uniform cross section is discussed. The pipe is uniformly porous. The unsteady Navier-Stokes equations for the system in cylindrical polar coordinates have been solved analytically to obtain a complete description of the flow. The solution of the flow equations subject to the slip boundary conditions leads to the detailed expressions for axial and radial components of velocity and the pressure distribution depending on position coordinates and time. As a special case we have presented the situation when no-slip boundary conditions are implemented. The velocity profile is analyzed for different values of the flow parameters like Womersley number, slip length and time. |
| first_indexed | 2024-12-20T13:31:24Z |
| format | Article |
| id | doaj.art-691f595a6b7d4ca0b60cf813c60e0885 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 2383-4536 |
| language | English |
| last_indexed | 2024-12-20T13:31:24Z |
| publishDate | 2020-12-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-691f595a6b7d4ca0b60cf813c60e08852022-12-21T19:39:04ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362020-12-016Special Issue1168117710.22055/jacm.2020.32136.197315478Unsteady Stokes Flow through a Porous Pipe with Periodic Suction and Injection with Slip ConditionsZarqa Bano0Abdul Majeed Siddiqui1Kaleemullah Bhatti2Department of Mathematics and Social Sciences, Sukkur IBA University, Airport Road Sukkur, 65200, PakistanDepartment of Mathematics (York Campus), Pennsylvania State University, York, PA 17403, USADepartment of Mathematics and Social Sciences, Sukkur IBA University, Airport Road Sukkur, 65200, PakistanThe problem of unsteady Stokes flow of certain Newtonian fluids in a circular pipe of uniform cross section is discussed. The pipe is uniformly porous. The unsteady Navier-Stokes equations for the system in cylindrical polar coordinates have been solved analytically to obtain a complete description of the flow. The solution of the flow equations subject to the slip boundary conditions leads to the detailed expressions for axial and radial components of velocity and the pressure distribution depending on position coordinates and time. As a special case we have presented the situation when no-slip boundary conditions are implemented. The velocity profile is analyzed for different values of the flow parameters like Womersley number, slip length and time.https://jacm.scu.ac.ir/article_15478_fd9286856b0ac8a5902c9e061926c1c3.pdfhydrodynamicsporous channelperiodic suction and injectionslippage effects |
| spellingShingle | Zarqa Bano Abdul Majeed Siddiqui Kaleemullah Bhatti Unsteady Stokes Flow through a Porous Pipe with Periodic Suction and Injection with Slip Conditions Journal of Applied and Computational Mechanics hydrodynamics porous channel periodic suction and injection slippage effects |
| title | Unsteady Stokes Flow through a Porous Pipe with Periodic Suction and Injection with Slip Conditions |
| title_full | Unsteady Stokes Flow through a Porous Pipe with Periodic Suction and Injection with Slip Conditions |
| title_fullStr | Unsteady Stokes Flow through a Porous Pipe with Periodic Suction and Injection with Slip Conditions |
| title_full_unstemmed | Unsteady Stokes Flow through a Porous Pipe with Periodic Suction and Injection with Slip Conditions |
| title_short | Unsteady Stokes Flow through a Porous Pipe with Periodic Suction and Injection with Slip Conditions |
| title_sort | unsteady stokes flow through a porous pipe with periodic suction and injection with slip conditions |
| topic | hydrodynamics porous channel periodic suction and injection slippage effects |
| url | https://jacm.scu.ac.ir/article_15478_fd9286856b0ac8a5902c9e061926c1c3.pdf |
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