Variational Approach of Marangoni Mixed Convection Boundary Layer Flow with Pade Technique
In this paper, Variational Iteration method with combining Pade approximation (Modified Variational Iteration Method-MVIM) is performed to Marangoni convection flow over the surface with buoyancy effects which is occurred gravity and external pressure. After the appropriate transformation of equatio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Isfahan University of Technology
2016-01-01
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| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=41396&issue_ID=237 |
| _version_ | 1818475588588929024 |
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| author | Murat Gubes Galip Oturanc |
| author_facet | Murat Gubes Galip Oturanc |
| author_sort | Murat Gubes |
| collection | DOAJ |
| description | In this paper, Variational Iteration method with combining Pade approximation (Modified Variational Iteration Method-MVIM) is performed to Marangoni convection flow over the surface with buoyancy effects which is occurred gravity and external pressure. After the appropriate transformation of equations, we get the dimensionless form to solve numerically with modified variational iteration method. We compare the our results with well-known asymptotic expansion method used by Zhang Yan and Zheng Liancun and also compare with Fourth order Runge Kutta solution which are presented in tables. Very efficient and accurate results are obtained with presented method. |
| first_indexed | 2024-12-10T09:14:37Z |
| format | Article |
| id | doaj.art-89b2f59cf8394dc7b0dcc368908d4c2c |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-12-10T09:14:37Z |
| publishDate | 2016-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-89b2f59cf8394dc7b0dcc368908d4c2c2022-12-22T01:54:54ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722016-01-019629492955.Variational Approach of Marangoni Mixed Convection Boundary Layer Flow with Pade TechniqueMurat Gubes0Galip Oturanc1Karamanoglu Mehmetbey UniversitySelcuk UniversityIn this paper, Variational Iteration method with combining Pade approximation (Modified Variational Iteration Method-MVIM) is performed to Marangoni convection flow over the surface with buoyancy effects which is occurred gravity and external pressure. After the appropriate transformation of equations, we get the dimensionless form to solve numerically with modified variational iteration method. We compare the our results with well-known asymptotic expansion method used by Zhang Yan and Zheng Liancun and also compare with Fourth order Runge Kutta solution which are presented in tables. Very efficient and accurate results are obtained with presented method.http://jafmonline.net/JournalArchive/download?file_ID=41396&issue_ID=237Variational iteration method; Marangoni convection; Pade approximation; Boundary layer flow. |
| spellingShingle | Murat Gubes Galip Oturanc Variational Approach of Marangoni Mixed Convection Boundary Layer Flow with Pade Technique Journal of Applied Fluid Mechanics Variational iteration method; Marangoni convection; Pade approximation; Boundary layer flow. |
| title | Variational Approach of Marangoni Mixed Convection Boundary Layer Flow with Pade Technique |
| title_full | Variational Approach of Marangoni Mixed Convection Boundary Layer Flow with Pade Technique |
| title_fullStr | Variational Approach of Marangoni Mixed Convection Boundary Layer Flow with Pade Technique |
| title_full_unstemmed | Variational Approach of Marangoni Mixed Convection Boundary Layer Flow with Pade Technique |
| title_short | Variational Approach of Marangoni Mixed Convection Boundary Layer Flow with Pade Technique |
| title_sort | variational approach of marangoni mixed convection boundary layer flow with pade technique |
| topic | Variational iteration method; Marangoni convection; Pade approximation; Boundary layer flow. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=41396&issue_ID=237 |
| work_keys_str_mv | AT muratgubes variationalapproachofmarangonimixedconvectionboundarylayerflowwithpadetechnique AT galipoturanc variationalapproachofmarangonimixedconvectionboundarylayerflowwithpadetechnique |