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Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet

The importance of boundary layer flow of micropolar fluid and heat transfer over an exponentially permeable shrinking sheet is analysed. The similarity approach is adopted and self-similar ordinary differential equations are obtained and then those are solved numerically using very efficient shootin...

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Main Authors:	Aurangzaib, Aurangzaib, Sharif Uddin, M., Bhattacharyya, K., Shafie, S.
Format:	Article
Published:	Elsevier Ltd 2016
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/71891/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018656095&doi=10.1016%2fj.jppr.2016.11.005&partnerID=40&md5=f2fe420449a8c7b735b980fd13318e8f
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id	my.utm.71891
record_format	eprints
spelling	my.utm.718912017-11-23T06:19:25Z http://eprints.utm.my/id/eprint/71891/ Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet Aurangzaib, Aurangzaib Sharif Uddin, M. Bhattacharyya, K. Shafie, S. QA Mathematics The importance of boundary layer flow of micropolar fluid and heat transfer over an exponentially permeable shrinking sheet is analysed. The similarity approach is adopted and self-similar ordinary differential equations are obtained and then those are solved numerically using very efficient shooting method. Similar to that of Newtonian fluid flow case, here also dual similarity solutions for velocity, microrotation and temperature are obtained when certain amount of mass suction is applied through the porous sheet. For steady flow of micropolar fluid over exponentially shrinking porous sheet the mass suction need to be stronger compared to the Newtonian fluid flow. From dual velocity, microrotation, and temperature profiles it is found that the velocity decreases with material parameter (related to micropolar fluid) for first solution and it increases for second, whereas the effects are opposite for fluid temperature. On the other hand, for larger material parameter microrotation profile reduces for both types of solutions. But it significant that the skin friction coefficient, the couple stress coefficient and the heat transfer coefficient show similar variation with increasing material parameter, all those physical quantities decrease for first solution and increase for second solution. Elsevier Ltd 2016 Article PeerReviewed Aurangzaib, Aurangzaib and Sharif Uddin, M. and Bhattacharyya, K. and Shafie, S. (2016) Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet. Propulsion and Power Research, 5 (4). pp. 310-317. ISSN 2212-540X https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018656095&doi=10.1016%2fj.jppr.2016.11.005&partnerID=40&md5=f2fe420449a8c7b735b980fd13318e8f
institution	Universiti Teknologi Malaysia
building	UTM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Teknologi Malaysia
content_source	UTM Institutional Repository
url_provider	http://eprints.utm.my/
topic	QA Mathematics
spellingShingle	QA Mathematics Aurangzaib, Aurangzaib Sharif Uddin, M. Bhattacharyya, K. Shafie, S. Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet
description	The importance of boundary layer flow of micropolar fluid and heat transfer over an exponentially permeable shrinking sheet is analysed. The similarity approach is adopted and self-similar ordinary differential equations are obtained and then those are solved numerically using very efficient shooting method. Similar to that of Newtonian fluid flow case, here also dual similarity solutions for velocity, microrotation and temperature are obtained when certain amount of mass suction is applied through the porous sheet. For steady flow of micropolar fluid over exponentially shrinking porous sheet the mass suction need to be stronger compared to the Newtonian fluid flow. From dual velocity, microrotation, and temperature profiles it is found that the velocity decreases with material parameter (related to micropolar fluid) for first solution and it increases for second, whereas the effects are opposite for fluid temperature. On the other hand, for larger material parameter microrotation profile reduces for both types of solutions. But it significant that the skin friction coefficient, the couple stress coefficient and the heat transfer coefficient show similar variation with increasing material parameter, all those physical quantities decrease for first solution and increase for second solution.
format	Article
author	Aurangzaib, Aurangzaib Sharif Uddin, M. Bhattacharyya, K. Shafie, S.
author_facet	Aurangzaib, Aurangzaib Sharif Uddin, M. Bhattacharyya, K. Shafie, S.
author_sort	Aurangzaib, Aurangzaib
title	Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet
title_short	Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet
title_full	Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet
title_fullStr	Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet
title_full_unstemmed	Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet
title_sort	micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet
publisher	Elsevier Ltd
publishDate	2016
url	http://eprints.utm.my/id/eprint/71891/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018656095&doi=10.1016%2fj.jppr.2016.11.005&partnerID=40&md5=f2fe420449a8c7b735b980fd13318e8f
_version_	1643656306441060352
score	13.211869

Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet

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