The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid
The problem of the peristaltic flow of a nanofluid under the effect of an endoscope is reinvestigated. The mathematical model is governed by a system of linear and nonlinear partial differential equations with prescribed boundary conditions. Really, the exact solution for any physical problem, if av...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/367526 |
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| author | S. M. Khaled Abdelhalim Ebaid Fahd Al Mutairi |
| author_facet | S. M. Khaled Abdelhalim Ebaid Fahd Al Mutairi |
| author_sort | S. M. Khaled |
| collection | DOAJ |
| description | The problem of the peristaltic flow of a nanofluid under the effect of an endoscope is reinvestigated. The mathematical model is governed by a system of linear and nonlinear partial differential equations with prescribed boundary conditions. Really, the exact solution for any physical problem, if available, is of great importance which inevitably leads to a better understanding of the behaviour of the involved physical phenomena. An attempt for doing so has been done in the present paper, where the temperature equation is solved exactly by the help of Laplace transform and, accordingly, the exact expressions for the nanoparticle concentration, the axial velocity, the pressure gradient, and the pressure rise are established. Furthermore, it is showed in this paper that the physical interpretations of some involved phenomena are found totally different than those previously obtained by the approximate solutions using the homotopy perturbation method. In addition, several comparisons between the current results and the approximate ones have been displayed. Finally, the effect of various parameters on the temperature distribution, the nanoparticle concentration, the pressure gradient, and the pressure rise has been also discussed through graphs. |
| format | Article |
| id | doaj-art-99a87d7c462b405899d6948bbdff5fca |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-99a87d7c462b405899d6948bbdff5fca2025-02-03T01:04:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/367526367526The Exact Endoscopic Effect on the Peristaltic Flow of a NanofluidS. M. Khaled0Abdelhalim Ebaid1Fahd Al Mutairi2Department of Mathematics, Faculty of Sciences, Helwan University, Cairo, EgyptDepartment of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Chemical Engineering, Faculty of Engineering, University of Tabuk, Saudi ArabiaThe problem of the peristaltic flow of a nanofluid under the effect of an endoscope is reinvestigated. The mathematical model is governed by a system of linear and nonlinear partial differential equations with prescribed boundary conditions. Really, the exact solution for any physical problem, if available, is of great importance which inevitably leads to a better understanding of the behaviour of the involved physical phenomena. An attempt for doing so has been done in the present paper, where the temperature equation is solved exactly by the help of Laplace transform and, accordingly, the exact expressions for the nanoparticle concentration, the axial velocity, the pressure gradient, and the pressure rise are established. Furthermore, it is showed in this paper that the physical interpretations of some involved phenomena are found totally different than those previously obtained by the approximate solutions using the homotopy perturbation method. In addition, several comparisons between the current results and the approximate ones have been displayed. Finally, the effect of various parameters on the temperature distribution, the nanoparticle concentration, the pressure gradient, and the pressure rise has been also discussed through graphs.http://dx.doi.org/10.1155/2014/367526 |
| spellingShingle | S. M. Khaled Abdelhalim Ebaid Fahd Al Mutairi The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid Journal of Applied Mathematics |
| title | The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid |
| title_full | The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid |
| title_fullStr | The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid |
| title_full_unstemmed | The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid |
| title_short | The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid |
| title_sort | exact endoscopic effect on the peristaltic flow of a nanofluid |
| url | http://dx.doi.org/10.1155/2014/367526 |
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