Variational Approach Applied to Study the Lifting of a Non-Newtonian Fluid on a Vertically Moving Belt
This paper provides an investigation regarding the modeling and analysis of the thin film flow of a non-Newtonian Williamson fluid on a vertically moving belt. The governing nonlinear differential equation is first integrated analytically and then solved by using the Variational Iteration Method (VI...
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| Format: | Article |
| Language: | English |
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Walailak University
2014-03-01
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| Series: | Walailak Journal of Science and Technology |
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| Online Access: | http://wjst.wu.ac.th/index.php/wjst/article/view/661 |
| _version_ | 1811250416780836864 |
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| author | Ali Ahmad FAROOQ Abdul Majeed SIDDIQUI Tahira HAROON Muhammad Afzal RANA |
| author_facet | Ali Ahmad FAROOQ Abdul Majeed SIDDIQUI Tahira HAROON Muhammad Afzal RANA |
| author_sort | Ali Ahmad FAROOQ |
| collection | DOAJ |
| description | This paper provides an investigation regarding the modeling and analysis of the thin film flow of a non-Newtonian Williamson fluid on a vertically moving belt. The governing nonlinear differential equation is first integrated analytically and then solved by using the Variational Iteration Method (VIM). The results of the present method are also compared with those obtained by the Adomian Decomposition Method (ADM) and a very good agreement is observed. This comparison reveals that VIM may be considered as an efficient alternative method for solving nonlinear problems arising in the area of fluid mechanics. Expressions for some important physical quantities such as volume flux, average velocity, the belt speed for the lifting of non-Newtonian fluid are also derived.
doi:10.14456/WJST.2014.74 |
| first_indexed | 2024-04-12T16:03:15Z |
| format | Article |
| id | doaj.art-56ed96cfa0fc4a17b67c68b8a4f1f125 |
| institution | Directory Open Access Journal |
| issn | 1686-3933 2228-835X |
| language | English |
| last_indexed | 2024-04-12T16:03:15Z |
| publishDate | 2014-03-01 |
| publisher | Walailak University |
| record_format | Article |
| series | Walailak Journal of Science and Technology |
| spelling | doaj.art-56ed96cfa0fc4a17b67c68b8a4f1f1252022-12-22T03:26:08ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2014-03-01111110.2004/wjst.v11i12.661456Variational Approach Applied to Study the Lifting of a Non-Newtonian Fluid on a Vertically Moving BeltAli Ahmad FAROOQ0Abdul Majeed SIDDIQUI1Tahira HAROON2Muhammad Afzal RANA3Department of Basic Sciences, Riphah International University, IslamabadDepartment of Mathematics, York Campus, Pennsylvania State UniversityCOMSATS Institute of Information Technology, AbbottabadDepartment of Basic Sciences, Riphah International University, IslamabadThis paper provides an investigation regarding the modeling and analysis of the thin film flow of a non-Newtonian Williamson fluid on a vertically moving belt. The governing nonlinear differential equation is first integrated analytically and then solved by using the Variational Iteration Method (VIM). The results of the present method are also compared with those obtained by the Adomian Decomposition Method (ADM) and a very good agreement is observed. This comparison reveals that VIM may be considered as an efficient alternative method for solving nonlinear problems arising in the area of fluid mechanics. Expressions for some important physical quantities such as volume flux, average velocity, the belt speed for the lifting of non-Newtonian fluid are also derived. doi:10.14456/WJST.2014.74http://wjst.wu.ac.th/index.php/wjst/article/view/661Thin film flowmoving beltWilliamson fluid modelnonlinear problemVIM |
| spellingShingle | Ali Ahmad FAROOQ Abdul Majeed SIDDIQUI Tahira HAROON Muhammad Afzal RANA Variational Approach Applied to Study the Lifting of a Non-Newtonian Fluid on a Vertically Moving Belt Walailak Journal of Science and Technology Thin film flow moving belt Williamson fluid model nonlinear problem VIM |
| title | Variational Approach Applied to Study the Lifting of a Non-Newtonian Fluid on a Vertically Moving Belt |
| title_full | Variational Approach Applied to Study the Lifting of a Non-Newtonian Fluid on a Vertically Moving Belt |
| title_fullStr | Variational Approach Applied to Study the Lifting of a Non-Newtonian Fluid on a Vertically Moving Belt |
| title_full_unstemmed | Variational Approach Applied to Study the Lifting of a Non-Newtonian Fluid on a Vertically Moving Belt |
| title_short | Variational Approach Applied to Study the Lifting of a Non-Newtonian Fluid on a Vertically Moving Belt |
| title_sort | variational approach applied to study the lifting of a non newtonian fluid on a vertically moving belt |
| topic | Thin film flow moving belt Williamson fluid model nonlinear problem VIM |
| url | http://wjst.wu.ac.th/index.php/wjst/article/view/661 |
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