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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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Main Authors: Senin, Nor Halawati, Mohd Mokhtar, Nor Fadzillah, Abdul Sathar, Mohammad Hasan
Format: Article
Language:English
Published: Penerbit Akademia Baru 2020
Online Access:http://psasir.upm.edu.my/id/eprint/88125/1/ABSTRACT.pdf
http://psasir.upm.edu.my/id/eprint/88125/
https://akademiabaru.com/submit/index.php/cfdl/article/view/1777
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Senin, Nor Halawati
Mohd Mokhtar, Nor Fadzillah
Abdul Sathar, Mohammad Hasan
spellingShingle Senin, Nor Halawati
Mohd Mokhtar, Nor Fadzillah
Abdul Sathar, Mohammad Hasan
Chaotic convection in a ferrofluid with internal heat generation
author_facet Senin, Nor Halawati
Mohd Mokhtar, Nor Fadzillah
Abdul Sathar, Mohammad Hasan
author_sort Senin, Nor Halawati
title Chaotic convection in a ferrofluid with internal heat generation
title_short 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_sort chaotic convection in a ferrofluid with internal heat generation
publisher Penerbit Akademia Baru
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/88125/1/ABSTRACT.pdf
http://psasir.upm.edu.my/id/eprint/88125/
https://akademiabaru.com/submit/index.php/cfdl/article/view/1777
_version_ 1734301616156180480
score 13.211869

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