Analytical study of natural convection in high Prandtl number
In case of natural convection modeling, when Boussinesq assumption is used, we encounter coupled nonlinear differential equations. In this work, the authors have modeled natural heat convection by implementing one of the newest analytical methods of solving nonlinear differential equations called ho...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Elsevier
2009
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| Online Access: | http://hdl.handle.net/20.500.11937/43665 |
| _version_ | 1848756767233671168 |
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| author | Nadim, Nima Domairry, G. |
| author_facet | Nadim, Nima Domairry, G. |
| author_sort | Nadim, Nima |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In case of natural convection modeling, when Boussinesq assumption is used, we encounter coupled nonlinear differential equations. In this work, the authors have modeled natural heat convection by implementing one of the newest analytical methods of solving nonlinear differential equations called homotopy analysis method (HAM), which gives us a vast freedom to choose the answer type. We have used an iterating analytical method in order that cope with nonlinearity. Also, we apply some provisions because of particular difficulties that are caused by coupling problem. A new adapting boundary condition is proposed in this work that is based on an initial guess and then it is developed to the solution expression. We must notice that HAM is applied to our case study according to the physics of the target problem. © 2008 Elsevier Ltd. All rights reserved. |
| first_indexed | 2025-11-14T09:17:26Z |
| format | Journal Article |
| id | curtin-20.500.11937-43665 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:17:26Z |
| publishDate | 2009 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-436652017-09-13T13:38:56Z Analytical study of natural convection in high Prandtl number Nadim, Nima Domairry, G. In case of natural convection modeling, when Boussinesq assumption is used, we encounter coupled nonlinear differential equations. In this work, the authors have modeled natural heat convection by implementing one of the newest analytical methods of solving nonlinear differential equations called homotopy analysis method (HAM), which gives us a vast freedom to choose the answer type. We have used an iterating analytical method in order that cope with nonlinearity. Also, we apply some provisions because of particular difficulties that are caused by coupling problem. A new adapting boundary condition is proposed in this work that is based on an initial guess and then it is developed to the solution expression. We must notice that HAM is applied to our case study according to the physics of the target problem. © 2008 Elsevier Ltd. All rights reserved. 2009 Journal Article http://hdl.handle.net/20.500.11937/43665 10.1016/j.enconman.2008.12.005 Elsevier restricted |
| spellingShingle | Nadim, Nima Domairry, G. Analytical study of natural convection in high Prandtl number |
| title | Analytical study of natural convection in high Prandtl number |
| title_full | Analytical study of natural convection in high Prandtl number |
| title_fullStr | Analytical study of natural convection in high Prandtl number |
| title_full_unstemmed | Analytical study of natural convection in high Prandtl number |
| title_short | Analytical study of natural convection in high Prandtl number |
| title_sort | analytical study of natural convection in high prandtl number |
| url | http://hdl.handle.net/20.500.11937/43665 |