Peristaltic Transport through Eccentric Cylinders: Mathematical Model
This paper discusses the effect of peristaltic transport on the fluid flow in the gap between two eccentric tubes (eccentric-annulus flows). The inner tube is uniform, rigid, while the outer tube has a sinusoidal wave traveling down its wall. The flow analysis has been developed for low Reynolds num...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Applied Bionics and Biomechanics |
| Online Access: | http://dx.doi.org/10.3233/ABB-2012-0071 |
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| author | Kh. S. Mekheimer Y. Abd elmaboud A. I. Abdellateef |
| author_facet | Kh. S. Mekheimer Y. Abd elmaboud A. I. Abdellateef |
| author_sort | Kh. S. Mekheimer |
| collection | DOAJ |
| description | This paper discusses the effect of peristaltic transport on the fluid flow in the gap between two eccentric tubes (eccentric-annulus flows). The inner tube is uniform, rigid, while the outer tube has a sinusoidal wave traveling down its wall. The flow analysis has been developed for low Reynolds number and long wave length approximation. The velocity and the pressure gradient have been obtained in terms of the dimensionless flow rate Q¯, time t, azimuthal coordinate θ and eccentricity parameter ϵ (the parameter that controls of the eccentricity of the inner tube position). The results show that there is a significant deference between eccentric and concentric annulus flows. |
| format | Article |
| id | doaj-art-bb7d2857b80c4cdd9f5306321243a102 |
| institution | Kabale University |
| issn | 1176-2322 1754-2103 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied Bionics and Biomechanics |
| spelling | doaj-art-bb7d2857b80c4cdd9f5306321243a1022025-02-03T01:26:24ZengWileyApplied Bionics and Biomechanics1176-23221754-21032013-01-01101192710.3233/ABB-2012-0071Peristaltic Transport through Eccentric Cylinders: Mathematical ModelKh. S. Mekheimer0Y. Abd elmaboud1A. I. Abdellateef2Mathematics & Statistic Department, Faculty of Science, Taif University, Hawia(888) Taif, Saudi ArabiaMathematics Department, Faculty of Science, Al-Azhar University(Assiut Branch), Assiut, EgyptBasic science Department, Higher Institute of Engineering, Shorouk City, Cairo, EgyptThis paper discusses the effect of peristaltic transport on the fluid flow in the gap between two eccentric tubes (eccentric-annulus flows). The inner tube is uniform, rigid, while the outer tube has a sinusoidal wave traveling down its wall. The flow analysis has been developed for low Reynolds number and long wave length approximation. The velocity and the pressure gradient have been obtained in terms of the dimensionless flow rate Q¯, time t, azimuthal coordinate θ and eccentricity parameter ϵ (the parameter that controls of the eccentricity of the inner tube position). The results show that there is a significant deference between eccentric and concentric annulus flows.http://dx.doi.org/10.3233/ABB-2012-0071 |
| spellingShingle | Kh. S. Mekheimer Y. Abd elmaboud A. I. Abdellateef Peristaltic Transport through Eccentric Cylinders: Mathematical Model Applied Bionics and Biomechanics |
| title | Peristaltic Transport through Eccentric Cylinders: Mathematical Model |
| title_full | Peristaltic Transport through Eccentric Cylinders: Mathematical Model |
| title_fullStr | Peristaltic Transport through Eccentric Cylinders: Mathematical Model |
| title_full_unstemmed | Peristaltic Transport through Eccentric Cylinders: Mathematical Model |
| title_short | Peristaltic Transport through Eccentric Cylinders: Mathematical Model |
| title_sort | peristaltic transport through eccentric cylinders mathematical model |
| url | http://dx.doi.org/10.3233/ABB-2012-0071 |
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