Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field
We carry out the effect of the induced magnetic field on peristaltic transport of an incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2008/570825 |
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| author | Kh. S. Mekheimer |
| author_facet | Kh. S. Mekheimer |
| author_sort | Kh. S. Mekheimer |
| collection | DOAJ |
| description | We carry out the effect of the induced magnetic field on peristaltic transport of an
incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity, microrotation component, stream function, magnetic-force function, axial-induced magnetic field, and current distribution across the channel. Expressions for the shear stresses are also obtained. The effects of pertinent parameters on the pressure rise per wavelength are investigated by means of numerical integrations, also we study the effect of these parameters on the axial pressure gradient, axial-induced magnetic field, as well as current distribution across the channel and the nonsymmetric shear stresses. The phenomena of trapping and magnetic-force lines
are further discussed. |
| format | Article |
| id | doaj-art-8e227fc342514011ae809cd530bedd2a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8e227fc342514011ae809cd530bedd2a2025-02-03T06:06:03ZengWileyJournal of Applied Mathematics1110-757X1687-00422008-01-01200810.1155/2008/570825570825Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic FieldKh. S. Mekheimer0Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptWe carry out the effect of the induced magnetic field on peristaltic transport of an incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity, microrotation component, stream function, magnetic-force function, axial-induced magnetic field, and current distribution across the channel. Expressions for the shear stresses are also obtained. The effects of pertinent parameters on the pressure rise per wavelength are investigated by means of numerical integrations, also we study the effect of these parameters on the axial pressure gradient, axial-induced magnetic field, as well as current distribution across the channel and the nonsymmetric shear stresses. The phenomena of trapping and magnetic-force lines are further discussed.http://dx.doi.org/10.1155/2008/570825 |
| spellingShingle | Kh. S. Mekheimer Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field Journal of Applied Mathematics |
| title | Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field |
| title_full | Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field |
| title_fullStr | Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field |
| title_full_unstemmed | Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field |
| title_short | Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field |
| title_sort | peristaltic flow of a magneto micropolar fluid effect of induced magnetic field |
| url | http://dx.doi.org/10.1155/2008/570825 |
| work_keys_str_mv | AT khsmekheimer peristalticflowofamagnetomicropolarfluideffectofinducedmagneticfield |