Stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source
This investigation reports on a stability analysis of Rayleigh-Benard convection in a horizontal of micropolar fluid layer heated from below. The effect of a feedback control strategy on the onset of steady convection in the presence of internal heat source is investigated theoretically using Galerk...
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Format: | Article |
Language: | English |
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North Atlantic University Union
2016
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Online Access: | http://psasir.upm.edu.my/id/eprint/53877/1/Stabilization%20of%20convective%20instability%20in%20micropolar%20fluid%20model%20.pdf |
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author | Mohd Mokhtar, Nor Fadzillah Khalid, Izzati Khalidah |
author_facet | Mohd Mokhtar, Nor Fadzillah Khalid, Izzati Khalidah |
author_sort | Mohd Mokhtar, Nor Fadzillah |
collection | UPM |
description | This investigation reports on a stability analysis of Rayleigh-Benard convection in a horizontal of micropolar fluid layer heated from below. The effect of a feedback control strategy on the onset of steady convection in the presence of internal heat source is investigated theoretically using Galerkin technique. The eigenvalues are obtained for free-free, rigid-rigid, free-rigid boundary combination with isothermal temperature boundary condition. The influence of various micropolar parameters on the onset of convection has also been analyzed. The onset of motion is found to depend on the feedback control parameter, K and internal heat source, Q and the micropolar parameter Ni. |
first_indexed | 2024-03-06T09:19:06Z |
format | Article |
id | upm.eprints-53877 |
institution | Universiti Putra Malaysia |
language | English |
last_indexed | 2024-03-06T09:19:06Z |
publishDate | 2016 |
publisher | North Atlantic University Union |
record_format | dspace |
spelling | upm.eprints-538772018-02-19T07:52:00Z http://psasir.upm.edu.my/id/eprint/53877/ Stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source Mohd Mokhtar, Nor Fadzillah Khalid, Izzati Khalidah This investigation reports on a stability analysis of Rayleigh-Benard convection in a horizontal of micropolar fluid layer heated from below. The effect of a feedback control strategy on the onset of steady convection in the presence of internal heat source is investigated theoretically using Galerkin technique. The eigenvalues are obtained for free-free, rigid-rigid, free-rigid boundary combination with isothermal temperature boundary condition. The influence of various micropolar parameters on the onset of convection has also been analyzed. The onset of motion is found to depend on the feedback control parameter, K and internal heat source, Q and the micropolar parameter Ni. North Atlantic University Union 2016 Article NonPeerReviewed text en http://psasir.upm.edu.my/id/eprint/53877/1/Stabilization%20of%20convective%20instability%20in%20micropolar%20fluid%20model%20.pdf Mohd Mokhtar, Nor Fadzillah and Khalid, Izzati Khalidah (2016) Stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source. International Journal of Mathematical Models and Methods In Applied Sciences, 10 (1). pp. 27-33. ISSN 1998-0140 http://naun.org/cms.action?id=12152 Convection; Feedback control; Internal heat source; Micropolar fluid model |
spellingShingle | Convection; Feedback control; Internal heat source; Micropolar fluid model Mohd Mokhtar, Nor Fadzillah Khalid, Izzati Khalidah Stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source |
title | Stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source |
title_full | Stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source |
title_fullStr | Stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source |
title_full_unstemmed | Stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source |
title_short | Stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source |
title_sort | stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source |
topic | Convection; Feedback control; Internal heat source; Micropolar fluid model |
url | http://psasir.upm.edu.my/id/eprint/53877/1/Stabilization%20of%20convective%20instability%20in%20micropolar%20fluid%20model%20.pdf |
work_keys_str_mv | AT mohdmokhtarnorfadzillah stabilizationofconvectiveinstabilityinmicropolarfluidmodelbyfeedbackcontrolstrategysubjectedtointernalheatsource AT khalidizzatikhalidah stabilizationofconvectiveinstabilityinmicropolarfluidmodelbyfeedbackcontrolstrategysubjectedtointernalheatsource |