Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux
We have analyzed the effects of variable heat flux and internal heat generation on the flow and heat transfer in a thin film on a horizontal sheet in the presence of thermal radiation. Similarity transformations are used to transform the governing equations to a set of coupled nonlinear ordinary dif...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/418527 |
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| _version_ | 1832552200477343744 |
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| author | I-Chung Liu Ahmed M. Megahed |
| author_facet | I-Chung Liu Ahmed M. Megahed |
| author_sort | I-Chung Liu |
| collection | DOAJ |
| description | We have analyzed the effects of variable heat flux and internal heat generation on the flow and heat transfer in a thin film on a horizontal sheet in the presence of thermal radiation. Similarity transformations are used to transform the governing equations to a set of coupled nonlinear ordinary differential equations. The obtained differential equations are solved approximately by the homotopy perturbation method (HPM). The effects of various parameters governing the flow and heat transfer in this study are discussed and presented graphically. Comparison of numerical results is made with the earlier published results under limiting cases. |
| format | Article |
| id | doaj-art-0844a0853a8c42babc92175e1157787e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0844a0853a8c42babc92175e1157787e2025-02-03T05:59:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/418527418527Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat FluxI-Chung Liu0Ahmed M. Megahed1Department of Civil Engineering, National Chi Nan University, 1 University Road, Puli, Nantou 545, TaiwanDepartment of Mathematics, Faculty of Science, Benha University, Benha 13511, EgyptWe have analyzed the effects of variable heat flux and internal heat generation on the flow and heat transfer in a thin film on a horizontal sheet in the presence of thermal radiation. Similarity transformations are used to transform the governing equations to a set of coupled nonlinear ordinary differential equations. The obtained differential equations are solved approximately by the homotopy perturbation method (HPM). The effects of various parameters governing the flow and heat transfer in this study are discussed and presented graphically. Comparison of numerical results is made with the earlier published results under limiting cases.http://dx.doi.org/10.1155/2012/418527 |
| spellingShingle | I-Chung Liu Ahmed M. Megahed Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux Journal of Applied Mathematics |
| title | Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux |
| title_full | Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux |
| title_fullStr | Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux |
| title_full_unstemmed | Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux |
| title_short | Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux |
| title_sort | homotopy perturbation method for thin film flow and heat transfer over an unsteady stretching sheet with internal heating and variable heat flux |
| url | http://dx.doi.org/10.1155/2012/418527 |
| work_keys_str_mv | AT ichungliu homotopyperturbationmethodforthinfilmflowandheattransferoveranunsteadystretchingsheetwithinternalheatingandvariableheatflux AT ahmedmmegahed homotopyperturbationmethodforthinfilmflowandheattransferoveranunsteadystretchingsheetwithinternalheatingandvariableheatflux |