Numerical simulation of Fluid flow over a shrinking porous sheet by Successive linearization method
In this article, stagnation point flow of a Maxwell fluid over a shrinking porous sheet is considered. The governing partial differential equations are reduced to ordinary differential equations by using similarity transformations. The solution of the resulting nonlinear boundary value problem is ca...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-03-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016816000211 |
| _version_ | 1818440137744318464 |
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| author | M.M. Bhatti A. Shahid M.M. Rashidi |
| author_facet | M.M. Bhatti A. Shahid M.M. Rashidi |
| author_sort | M.M. Bhatti |
| collection | DOAJ |
| description | In this article, stagnation point flow of a Maxwell fluid over a shrinking porous sheet is considered. The governing partial differential equations are reduced to ordinary differential equations by using similarity transformations. The solution of the resulting nonlinear boundary value problem is calculated with the help of Successive linearization method (SLM) using computational software Matlab. The present analysis confirmed the existence of dual solution for shrinking sheet, while for stretching case the solution is unique. The effects of suction parameter S on the velocity profiles are shown through graphs and analyzed in detail. |
| first_indexed | 2024-12-14T18:07:35Z |
| format | Article |
| id | doaj.art-91ebac5ef0a649098c8949ade4eb37db |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-14T18:07:35Z |
| publishDate | 2016-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-91ebac5ef0a649098c8949ade4eb37db2022-12-21T22:52:20ZengElsevierAlexandria Engineering Journal1110-01682016-03-01551515610.1016/j.aej.2016.01.015Numerical simulation of Fluid flow over a shrinking porous sheet by Successive linearization methodM.M. Bhatti0A. Shahid1M.M. Rashidi2Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Yanchang Road, Shanghai 200072, PR ChinaSchool of Mathematics and Information Sciences, Guangzhou University, PR ChinaShanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai 201804, PR ChinaIn this article, stagnation point flow of a Maxwell fluid over a shrinking porous sheet is considered. The governing partial differential equations are reduced to ordinary differential equations by using similarity transformations. The solution of the resulting nonlinear boundary value problem is calculated with the help of Successive linearization method (SLM) using computational software Matlab. The present analysis confirmed the existence of dual solution for shrinking sheet, while for stretching case the solution is unique. The effects of suction parameter S on the velocity profiles are shown through graphs and analyzed in detail.http://www.sciencedirect.com/science/article/pii/S1110016816000211Successive linearization methodChebyshev spectral collocation methodPorous mediumShrinking sheet |
| spellingShingle | M.M. Bhatti A. Shahid M.M. Rashidi Numerical simulation of Fluid flow over a shrinking porous sheet by Successive linearization method Alexandria Engineering Journal Successive linearization method Chebyshev spectral collocation method Porous medium Shrinking sheet |
| title | Numerical simulation of Fluid flow over a shrinking porous sheet by Successive linearization method |
| title_full | Numerical simulation of Fluid flow over a shrinking porous sheet by Successive linearization method |
| title_fullStr | Numerical simulation of Fluid flow over a shrinking porous sheet by Successive linearization method |
| title_full_unstemmed | Numerical simulation of Fluid flow over a shrinking porous sheet by Successive linearization method |
| title_short | Numerical simulation of Fluid flow over a shrinking porous sheet by Successive linearization method |
| title_sort | numerical simulation of fluid flow over a shrinking porous sheet by successive linearization method |
| topic | Successive linearization method Chebyshev spectral collocation method Porous medium Shrinking sheet |
| url | http://www.sciencedirect.com/science/article/pii/S1110016816000211 |
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