Optimal Homotopy Asymptotic Solution for Exothermic Reactions Model with Constant Heat Source in a Porous Medium
The heat flow patterns profiles are required for heat transfer simulation in each type of the thermal insulation. The exothermic reaction models in porous medium can prescribe the problems in the form of nonlinear ordinary differential equations. In this research, the driving force model due to the...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/825683 |
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| _version_ | 1850106307496902656 |
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| author | Fazle Mabood Nopparat Pochai |
| author_facet | Fazle Mabood Nopparat Pochai |
| author_sort | Fazle Mabood |
| collection | DOAJ |
| description | The heat flow patterns profiles are required for heat transfer simulation in each type of the thermal insulation. The exothermic reaction models in porous medium can prescribe the problems in the form of nonlinear ordinary differential equations. In this research, the driving force model due to the temperature gradients is considered. A governing equation of the model is restricted into an energy balance equation that provides the temperature profile in conduction state with constant heat source on the steady state. The proposed optimal homotopy asymptotic method (OHAM) is used to compute the solutions of the exothermic reactions equation. |
| format | Article |
| id | doaj-art-2e9cc9da17574183ac59133283de40d3 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-2e9cc9da17574183ac59133283de40d32025-08-20T02:38:51ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/825683825683Optimal Homotopy Asymptotic Solution for Exothermic Reactions Model with Constant Heat Source in a Porous MediumFazle Mabood0Nopparat Pochai1Department of Mathematics, University of Peshawar, Peshawar, PakistanDepartment of Mathematics, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, ThailandThe heat flow patterns profiles are required for heat transfer simulation in each type of the thermal insulation. The exothermic reaction models in porous medium can prescribe the problems in the form of nonlinear ordinary differential equations. In this research, the driving force model due to the temperature gradients is considered. A governing equation of the model is restricted into an energy balance equation that provides the temperature profile in conduction state with constant heat source on the steady state. The proposed optimal homotopy asymptotic method (OHAM) is used to compute the solutions of the exothermic reactions equation.http://dx.doi.org/10.1155/2015/825683 |
| spellingShingle | Fazle Mabood Nopparat Pochai Optimal Homotopy Asymptotic Solution for Exothermic Reactions Model with Constant Heat Source in a Porous Medium Advances in Mathematical Physics |
| title | Optimal Homotopy Asymptotic Solution for Exothermic Reactions Model with Constant Heat Source in a Porous Medium |
| title_full | Optimal Homotopy Asymptotic Solution for Exothermic Reactions Model with Constant Heat Source in a Porous Medium |
| title_fullStr | Optimal Homotopy Asymptotic Solution for Exothermic Reactions Model with Constant Heat Source in a Porous Medium |
| title_full_unstemmed | Optimal Homotopy Asymptotic Solution for Exothermic Reactions Model with Constant Heat Source in a Porous Medium |
| title_short | Optimal Homotopy Asymptotic Solution for Exothermic Reactions Model with Constant Heat Source in a Porous Medium |
| title_sort | optimal homotopy asymptotic solution for exothermic reactions model with constant heat source in a porous medium |
| url | http://dx.doi.org/10.1155/2015/825683 |
| work_keys_str_mv | AT fazlemabood optimalhomotopyasymptoticsolutionforexothermicreactionsmodelwithconstantheatsourceinaporousmedium AT nopparatpochai optimalhomotopyasymptoticsolutionforexothermicreactionsmodelwithconstantheatsourceinaporousmedium |