Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem
In this paper, the Optimal Homotopy Perturbation Method (OHPM) is employed to determine an analytic approximate solution for the nonlinear MHD Jeffery-Hamel flow and heat transfer problem. The Navier-Stokes equations, taking into account Maxwell’s electromagnetism and heat transfer, lead to two nonl...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-03-01
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| Series: | Open Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/phys-2017-0006 |
| _version_ | 1818689273180717056 |
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| author | Marinca Vasile Ene Remus-Daniel |
| author_facet | Marinca Vasile Ene Remus-Daniel |
| author_sort | Marinca Vasile |
| collection | DOAJ |
| description | In this paper, the Optimal Homotopy Perturbation Method (OHPM) is employed to determine an analytic approximate solution for the nonlinear MHD Jeffery-Hamel flow and heat transfer problem. The Navier-Stokes equations, taking into account Maxwell’s electromagnetism and heat transfer, lead to two nonlinear ordinary differential equations. The results obtained by means of OHPM show very good agreement with numerical results and with Homotopy Perturbation Method (HPM) results. |
| first_indexed | 2024-12-17T12:07:29Z |
| format | Article |
| id | doaj.art-b866ce2cf8084e54bf0d08841eac4a18 |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-12-17T12:07:29Z |
| publishDate | 2017-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-b866ce2cf8084e54bf0d08841eac4a182022-12-21T21:49:34ZengDe GruyterOpen Physics2391-54712017-03-01151425710.1515/phys-2017-0006phys-2017-0006Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problemMarinca Vasile0Ene Remus-Daniel1University Politehnica Timisoara, Department of Mechanics and Vibration, Timisoara, 300222, RomaniaUniversity Politehnica Timisoara, Department of Mathematics, Timisoara, 300006, RomaniaIn this paper, the Optimal Homotopy Perturbation Method (OHPM) is employed to determine an analytic approximate solution for the nonlinear MHD Jeffery-Hamel flow and heat transfer problem. The Navier-Stokes equations, taking into account Maxwell’s electromagnetism and heat transfer, lead to two nonlinear ordinary differential equations. The results obtained by means of OHPM show very good agreement with numerical results and with Homotopy Perturbation Method (HPM) results.https://doi.org/10.1515/phys-2017-0006optimal homotopy perturbation methodjeffery-hamelnonlinear ordinary differential equations02.60.-x47.11.-j47.50.-d |
| spellingShingle | Marinca Vasile Ene Remus-Daniel Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem Open Physics optimal homotopy perturbation method jeffery-hamel nonlinear ordinary differential equations 02.60.-x 47.11.-j 47.50.-d |
| title | Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem |
| title_full | Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem |
| title_fullStr | Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem |
| title_full_unstemmed | Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem |
| title_short | Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem |
| title_sort | optimal homotopy perturbation method for nonlinear differential equations governing mhd jeffery hamel flow with heat transfer problem |
| topic | optimal homotopy perturbation method jeffery-hamel nonlinear ordinary differential equations 02.60.-x 47.11.-j 47.50.-d |
| url | https://doi.org/10.1515/phys-2017-0006 |
| work_keys_str_mv | AT marincavasile optimalhomotopyperturbationmethodfornonlineardifferentialequationsgoverningmhdjefferyhamelflowwithheattransferproblem AT eneremusdaniel optimalhomotopyperturbationmethodfornonlineardifferentialequationsgoverningmhdjefferyhamelflowwithheattransferproblem |