Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates
The velocity profile and pressure gradient of an unsteady state unidirectional MHD flow of Voigt fluids moving between two parallel surfaces under magnetic field effects are solved by the Laplace transform method. The flow motion between parallel surfaces is induced by a prescribed inlet volume flow...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/869357 |
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| _version_ | 1832559389765009408 |
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| author | Wei-Fan Chen Hsin-Yi Lai Cha'o-Kuang Chen |
| author_facet | Wei-Fan Chen Hsin-Yi Lai Cha'o-Kuang Chen |
| author_sort | Wei-Fan Chen |
| collection | DOAJ |
| description | The velocity profile and pressure gradient of an unsteady state unidirectional MHD flow of Voigt fluids moving between two parallel surfaces under magnetic field effects are solved by the Laplace transform method. The flow motion between parallel surfaces is induced by a prescribed inlet volume flow rate that varies with time. Four cases of different inlet volume flow rates are considered in this study including (1) constant acceleration piston motion, (2) suddenly started flow, (3) linear acceleration piston motion, and (4) oscillatory piston motion. The solution for each case is elaborately derived, and the results of associated velocity profile and pressure gradients are presented in analytical forms. |
| format | Article |
| id | doaj-art-f7718816c6194270b73c80fd6d67756f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f7718816c6194270b73c80fd6d67756f2025-02-03T01:30:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/869357869357Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow RatesWei-Fan Chen0Hsin-Yi Lai1Cha'o-Kuang Chen2Department of Mechanical Engineering, National Cheng Kung University, No. 1, University Road, Tainan 70101, TaiwanDepartment of Mechanical Engineering, National Cheng Kung University, No. 1, University Road, Tainan 70101, TaiwanDepartment of Mechanical Engineering, National Cheng Kung University, No. 1, University Road, Tainan 70101, TaiwanThe velocity profile and pressure gradient of an unsteady state unidirectional MHD flow of Voigt fluids moving between two parallel surfaces under magnetic field effects are solved by the Laplace transform method. The flow motion between parallel surfaces is induced by a prescribed inlet volume flow rate that varies with time. Four cases of different inlet volume flow rates are considered in this study including (1) constant acceleration piston motion, (2) suddenly started flow, (3) linear acceleration piston motion, and (4) oscillatory piston motion. The solution for each case is elaborately derived, and the results of associated velocity profile and pressure gradients are presented in analytical forms.http://dx.doi.org/10.1155/2012/869357 |
| spellingShingle | Wei-Fan Chen Hsin-Yi Lai Cha'o-Kuang Chen Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates Journal of Applied Mathematics |
| title | Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates |
| title_full | Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates |
| title_fullStr | Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates |
| title_full_unstemmed | Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates |
| title_short | Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates |
| title_sort | unsteady unidirectional mhd flow of voigt fluids moving between two parallel surfaces for variable volume flow rates |
| url | http://dx.doi.org/10.1155/2012/869357 |
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