Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation

Dual solutions are discovered in the problem of magnetohydrodynamics (MHD) boundary layer flow of Carreau fluid over a permeable shrinking sheet with thermal radiation. Therefore, a stability analysis is carried out to identify the stable solution of this problem. For the stability analysis, the pro...

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Main Authors: Rusya Iryanti Yahaya, Norihan Md Arifin, Siti Suzilliana Putri Mohamed Isa
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/14410/
http://journalarticle.ukm.my/14410/
http://journalarticle.ukm.my/14410/1/25%20Rusya%20Iryanti%20Yahaya.pdf
id ukm-14410
recordtype eprints
spelling ukm-144102020-03-10T02:36:08Z http://journalarticle.ukm.my/14410/ Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation Rusya Iryanti Yahaya, Norihan Md Arifin, Siti Suzilliana Putri Mohamed Isa, Dual solutions are discovered in the problem of magnetohydrodynamics (MHD) boundary layer flow of Carreau fluid over a permeable shrinking sheet with thermal radiation. Therefore, a stability analysis is carried out to identify the stable solution of this problem. For the stability analysis, the problem is considered to be unsteady with time derivative introduced into the governing equations. Next, time-dependent solutions are substituted into these equations to form linear eigenvalue equations. The smallest eigenvalue of these equations is then computed using the bvp4c solver in MATLAB. The results showed that the first solution is stable, while the second solution is unstable. The first solution is physically meaningful and realizable in practice, and thus significant to the problem. Penerbit Universiti Kebangsaan Malaysia 2019-10 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/14410/1/25%20Rusya%20Iryanti%20Yahaya.pdf Rusya Iryanti Yahaya, and Norihan Md Arifin, and Siti Suzilliana Putri Mohamed Isa, (2019) Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation. Sains Malaysiana, 48 (10). pp. 2285-2295. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil10_2019/KandunganJilid48Bil10_2019.htm
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institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description Dual solutions are discovered in the problem of magnetohydrodynamics (MHD) boundary layer flow of Carreau fluid over a permeable shrinking sheet with thermal radiation. Therefore, a stability analysis is carried out to identify the stable solution of this problem. For the stability analysis, the problem is considered to be unsteady with time derivative introduced into the governing equations. Next, time-dependent solutions are substituted into these equations to form linear eigenvalue equations. The smallest eigenvalue of these equations is then computed using the bvp4c solver in MATLAB. The results showed that the first solution is stable, while the second solution is unstable. The first solution is physically meaningful and realizable in practice, and thus significant to the problem.
format Article
author Rusya Iryanti Yahaya,
Norihan Md Arifin,
Siti Suzilliana Putri Mohamed Isa,
spellingShingle Rusya Iryanti Yahaya,
Norihan Md Arifin,
Siti Suzilliana Putri Mohamed Isa,
Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation
author_facet Rusya Iryanti Yahaya,
Norihan Md Arifin,
Siti Suzilliana Putri Mohamed Isa,
author_sort Rusya Iryanti Yahaya,
title Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation
title_short Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation
title_full Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation
title_fullStr Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation
title_full_unstemmed Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation
title_sort stability analysis of mhd carreau fluid flow over a permeable shrinking sheet with thermal radiation
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2019
url http://journalarticle.ukm.my/14410/
http://journalarticle.ukm.my/14410/
http://journalarticle.ukm.my/14410/1/25%20Rusya%20Iryanti%20Yahaya.pdf
first_indexed 2023-09-18T20:07:01Z
last_indexed 2023-09-18T20:07:01Z
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