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Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy

A linear stability analysis has been carried out to examine the effect of internal heat source on the onset of Rayleigh–Bénard convection in a rotating nanofluid layer with double diffusive coefficients, namely, Soret and Dufour, in the presence of feedback control. The system is heated from below a...

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Main Authors: Khalid, Izzati Khalidah, M. Mokhtar, Nor Fadzillah, Hashim, Ishak, Ibrahim, Zarina Bibi, A. Gani, Siti Salwa
Format: Article
Language:English
Published: Hindawi 2017
Online Access:http://psasir.upm.edu.my/id/eprint/61571/1/Effect%20of%20internal%20heat%20source%20on%20the%20onset%20of%20double-diffusive%20convection%20in%20a%20rotating%20nanofluid%20layer%20with%20feedback%20control%20strategy.pdf
http://psasir.upm.edu.my/id/eprint/61571/
https://www.hindawi.com/journals/amp/2017/2789024/
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spelling my.upm.eprints.615712022-05-25T02:22:15Z http://psasir.upm.edu.my/id/eprint/61571/ Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy Khalid, Izzati Khalidah M. Mokhtar, Nor Fadzillah Hashim, Ishak Ibrahim, Zarina Bibi A. Gani, Siti Salwa A linear stability analysis has been carried out to examine the effect of internal heat source on the onset of Rayleigh–Bénard convection in a rotating nanofluid layer with double diffusive coefficients, namely, Soret and Dufour, in the presence of feedback control. The system is heated from below and the model used for the nanofluid layer incorporates the effects of thermophoresis and Brownian motion. Three types of bounding systems of the model have been considered which are as follows: both the lower and upper bounding surfaces are free, the lower is rigid and the upper is free, and both of them are rigid. The eigenvalue equations of the perturbed state were obtained from a normal mode analysis and solved using the Galerkin method. It is found that the effect of internal heat source and Soret parameter destabilizes the nanofluid layer system while increasing the Coriolis force, feedback control, and Dufour parameter helps to postpone the onset of convection. Elevating the modified density ratio hastens the instability in the system and there is no significant effect of modified particle density in a nanofluid system. Hindawi 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/61571/1/Effect%20of%20internal%20heat%20source%20on%20the%20onset%20of%20double-diffusive%20convection%20in%20a%20rotating%20nanofluid%20layer%20with%20feedback%20control%20strategy.pdf Khalid, Izzati Khalidah and M. Mokhtar, Nor Fadzillah and Hashim, Ishak and Ibrahim, Zarina Bibi and A. Gani, Siti Salwa (2017) Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy. Advances in Mathematical Physics, 2017. art. no. 2789024. pp. 1-12. ISSN 1687-9120; ESSN: 1687-9139 https://www.hindawi.com/journals/amp/2017/2789024/ 10.1155/2017/2789024
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 A linear stability analysis has been carried out to examine the effect of internal heat source on the onset of Rayleigh–Bénard convection in a rotating nanofluid layer with double diffusive coefficients, namely, Soret and Dufour, in the presence of feedback control. The system is heated from below and the model used for the nanofluid layer incorporates the effects of thermophoresis and Brownian motion. Three types of bounding systems of the model have been considered which are as follows: both the lower and upper bounding surfaces are free, the lower is rigid and the upper is free, and both of them are rigid. The eigenvalue equations of the perturbed state were obtained from a normal mode analysis and solved using the Galerkin method. It is found that the effect of internal heat source and Soret parameter destabilizes the nanofluid layer system while increasing the Coriolis force, feedback control, and Dufour parameter helps to postpone the onset of convection. Elevating the modified density ratio hastens the instability in the system and there is no significant effect of modified particle density in a nanofluid system.
format Article
author Khalid, Izzati Khalidah
M. Mokhtar, Nor Fadzillah
Hashim, Ishak
Ibrahim, Zarina Bibi
A. Gani, Siti Salwa
spellingShingle Khalid, Izzati Khalidah
M. Mokhtar, Nor Fadzillah
Hashim, Ishak
Ibrahim, Zarina Bibi
A. Gani, Siti Salwa
Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy
author_facet Khalid, Izzati Khalidah
M. Mokhtar, Nor Fadzillah
Hashim, Ishak
Ibrahim, Zarina Bibi
A. Gani, Siti Salwa
author_sort Khalid, Izzati Khalidah
title Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy
title_short Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy
title_full Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy
title_fullStr Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy
title_full_unstemmed Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy
title_sort effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy
publisher Hindawi
publishDate 2017
url http://psasir.upm.edu.my/id/eprint/61571/1/Effect%20of%20internal%20heat%20source%20on%20the%20onset%20of%20double-diffusive%20convection%20in%20a%20rotating%20nanofluid%20layer%20with%20feedback%20control%20strategy.pdf
http://psasir.upm.edu.my/id/eprint/61571/
https://www.hindawi.com/journals/amp/2017/2789024/
_version_ 1734301586841141248
score 13.211869

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