Chaotic convection in a ferrofluid with internal heat generation
The nonlinear stability analysis of a ferrofluid layer system is formulated mathematically. This system considered the upper and lower free isothermal boundary with the system heated from below. A mathematical formulation is produced to study the behaviour of the chaotic convection in a ferrofluid l...
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| Format: | Article |
| Language: | English |
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Penerbit Akademia Baru
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/88125/ http://psasir.upm.edu.my/id/eprint/88125/1/ABSTRACT.pdf |
| _version_ | 1848860558789443584 |
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| author | Senin, Nor Halawati Mohd Mokhtar, Nor Fadzillah Abdul Sathar, Mohammad Hasan |
| author_facet | Senin, Nor Halawati Mohd Mokhtar, Nor Fadzillah Abdul Sathar, Mohammad Hasan |
| author_sort | Senin, Nor Halawati |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The nonlinear stability analysis of a ferrofluid layer system is formulated mathematically. This system considered the upper and lower free isothermal boundary with the system heated from below. A mathematical formulation is produced to study the behaviour of the chaotic convection in a ferrofluid layer system using Galerkin
truncated expansion. The Boussinesq approximation is opted with the existence of internal heating and the magnetic number. It is found that the transition to chaos in this present study is identical to the Lorenz attractor and thus validate the method and analysis of this study. The impact of elevating the internal heat generation is found to hasten the instability of the system and as for the magnetic number, at M1 = 2.5 the homoclinic bifurcation occurs and thus accelerates the convection process. |
| first_indexed | 2025-11-15T12:47:09Z |
| format | Article |
| id | upm-88125 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:47:09Z |
| publishDate | 2020 |
| publisher | Penerbit Akademia Baru |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-881252022-05-18T03:33:29Z http://psasir.upm.edu.my/id/eprint/88125/ Chaotic convection in a ferrofluid with internal heat generation Senin, Nor Halawati Mohd Mokhtar, Nor Fadzillah Abdul Sathar, Mohammad Hasan The nonlinear stability analysis of a ferrofluid layer system is formulated mathematically. This system considered the upper and lower free isothermal boundary with the system heated from below. A mathematical formulation is produced to study the behaviour of the chaotic convection in a ferrofluid layer system using Galerkin truncated expansion. The Boussinesq approximation is opted with the existence of internal heating and the magnetic number. It is found that the transition to chaos in this present study is identical to the Lorenz attractor and thus validate the method and analysis of this study. The impact of elevating the internal heat generation is found to hasten the instability of the system and as for the magnetic number, at M1 = 2.5 the homoclinic bifurcation occurs and thus accelerates the convection process. Penerbit Akademia Baru 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/88125/1/ABSTRACT.pdf Senin, Nor Halawati and Mohd Mokhtar, Nor Fadzillah and Abdul Sathar, Mohammad Hasan (2020) Chaotic convection in a ferrofluid with internal heat generation. CFD Letters, 12 (10). 62 - 74. ISSN 2180-1363 https://akademiabaru.com/submit/index.php/cfdl/article/view/1777 10.37934/cfdl.12.10.6274 |
| spellingShingle | Senin, Nor Halawati Mohd Mokhtar, Nor Fadzillah Abdul Sathar, Mohammad Hasan Chaotic convection in a ferrofluid with internal heat generation |
| title | Chaotic convection in a ferrofluid with internal heat generation |
| title_full | Chaotic convection in a ferrofluid with internal heat generation |
| title_fullStr | Chaotic convection in a ferrofluid with internal heat generation |
| title_full_unstemmed | Chaotic convection in a ferrofluid with internal heat generation |
| title_short | Chaotic convection in a ferrofluid with internal heat generation |
| title_sort | chaotic convection in a ferrofluid with internal heat generation |
| url | http://psasir.upm.edu.my/id/eprint/88125/ http://psasir.upm.edu.my/id/eprint/88125/ http://psasir.upm.edu.my/id/eprint/88125/ http://psasir.upm.edu.my/id/eprint/88125/1/ABSTRACT.pdf |