Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall
The gravity-driven film flow has been analyzed along a vertical wall subjected to a convective boundary condition. The Boussinesq approximation is applied to simplify the buoyancy term, and similarity transformations are used on the mathematical model of the problem under consideration, to obtain a...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/475939 |
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| _version_ | 1832564400945364992 |
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| author | Ammarah Raees Hang Xu |
| author_facet | Ammarah Raees Hang Xu |
| author_sort | Ammarah Raees |
| collection | DOAJ |
| description | The gravity-driven film flow has been analyzed along a vertical
wall subjected to a convective boundary condition. The Boussinesq approximation is applied
to simplify the buoyancy term, and similarity transformations are used on the mathematical
model of the problem under consideration, to obtain a set of coupled ordinary differential
equations. Then the reduced equations are solved explicitly by using homotopy analysis
method (HAM). The resulting solutions are investigated for heat transfer effects on velocity
and temperature profiles. |
| format | Article |
| id | doaj-art-4b54cbf4433a4020971988eb37b2efee |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-4b54cbf4433a4020971988eb37b2efee2025-02-03T01:11:10ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/475939475939Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical WallAmmarah Raees0Hang Xu1State Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaState Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaThe gravity-driven film flow has been analyzed along a vertical wall subjected to a convective boundary condition. The Boussinesq approximation is applied to simplify the buoyancy term, and similarity transformations are used on the mathematical model of the problem under consideration, to obtain a set of coupled ordinary differential equations. Then the reduced equations are solved explicitly by using homotopy analysis method (HAM). The resulting solutions are investigated for heat transfer effects on velocity and temperature profiles.http://dx.doi.org/10.1155/2013/475939 |
| spellingShingle | Ammarah Raees Hang Xu Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall The Scientific World Journal |
| title | Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall |
| title_full | Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall |
| title_fullStr | Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall |
| title_full_unstemmed | Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall |
| title_short | Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall |
| title_sort | explicit solutions of a gravity induced film flow along a convectively heated vertical wall |
| url | http://dx.doi.org/10.1155/2013/475939 |
| work_keys_str_mv | AT ammarahraees explicitsolutionsofagravityinducedfilmflowalongaconvectivelyheatedverticalwall AT hangxu explicitsolutionsofagravityinducedfilmflowalongaconvectivelyheatedverticalwall |