Analytical Solution for Suction and Injection Flow of a Viscoplastic Casson Fluid Past a Stretching Surface in the Presence of viscous dissipation

In this study, steady two-dimensional flow of a viscoplastic Casson fluid past a stretching surface is considered under the effects of thermal radiation and viscous dissipation. Both suction and injection flows situations are considered. The partial differential governing equations are transforme...

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Main Authors:	Abid, Hussanan, Mohd Zuki, Salleh, Khan, Ilyas, Sharidan, Shafie
Format:	Article
Language:	English
Published:	Springer 2016
Subjects:	QA Mathematics
Online Access:	http://umpir.ump.edu.my/id/eprint/16778/ http://umpir.ump.edu.my/id/eprint/16778/ http://umpir.ump.edu.my/id/eprint/16778/ http://umpir.ump.edu.my/id/eprint/16778/1/2016_NCAA_DOI%2010.1007s00521-016-2674-0%20analytical%20solution.pdf

id	ump-16778
recordtype	eprints
spelling	ump-167782017-09-11T08:23:29Z http://umpir.ump.edu.my/id/eprint/16778/ Analytical Solution for Suction and Injection Flow of a Viscoplastic Casson Fluid Past a Stretching Surface in the Presence of viscous dissipation Abid, Hussanan Mohd Zuki, Salleh Khan, Ilyas Sharidan, Shafie QA Mathematics In this study, steady two-dimensional flow of a viscoplastic Casson fluid past a stretching surface is considered under the effects of thermal radiation and viscous dissipation. Both suction and injection flows situations are considered. The partial differential governing equations are transformed into ordinary differential equations and solved analytical. Analytical solutions for velocity and temperature are obtained in terms of hypergeometric function and discussed graphically. Moreover, numerical results are also obtained by Runge–Kutta–Fehlberg fourth–fifth-order (RKF45) method and compared with the analytical results. The results showed that the injection and suction parameter can be used to control the direction and strength of flow. The effects of Casson parameter on the temperature and velocity are quite opposite. The effects of thermal radiation on the temperature are much more stronger in case of injection. The heat transfer coefficient shows higher value for Casson fluid while for Newtonian fluid is the lowest. Springer 2016-11 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/16778/1/2016_NCAA_DOI%2010.1007s00521-016-2674-0%20analytical%20solution.pdf Abid, Hussanan and Mohd Zuki, Salleh and Khan, Ilyas and Sharidan, Shafie (2016) Analytical Solution for Suction and Injection Flow of a Viscoplastic Casson Fluid Past a Stretching Surface in the Presence of viscous dissipation. Neural Computing and Applications, 2016. pp. 1-9. ISSN 0941-0643 http://link.springer.com/article/10.1007/s00521-016-2674-0 DOI 10.1007/s00521-016-2674-0
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Abid, Hussanan Mohd Zuki, Salleh Khan, Ilyas Sharidan, Shafie Analytical Solution for Suction and Injection Flow of a Viscoplastic Casson Fluid Past a Stretching Surface in the Presence of viscous dissipation
description	In this study, steady two-dimensional flow of a viscoplastic Casson fluid past a stretching surface is considered under the effects of thermal radiation and viscous dissipation. Both suction and injection flows situations are considered. The partial differential governing equations are transformed into ordinary differential equations and solved analytical. Analytical solutions for velocity and temperature are obtained in terms of hypergeometric function and discussed graphically. Moreover, numerical results are also obtained by Runge–Kutta–Fehlberg fourth–fifth-order (RKF45) method and compared with the analytical results. The results showed that the injection and suction parameter can be used to control the direction and strength of flow. The effects of Casson parameter on the temperature and velocity are quite opposite. The effects of thermal radiation on the temperature are much more stronger in case of injection. The heat transfer coefficient shows higher value for Casson fluid while for Newtonian fluid is the lowest.
format	Article
author	Abid, Hussanan Mohd Zuki, Salleh Khan, Ilyas Sharidan, Shafie
author_facet	Abid, Hussanan Mohd Zuki, Salleh Khan, Ilyas Sharidan, Shafie
author_sort	Abid, Hussanan
title	Analytical Solution for Suction and Injection Flow of a Viscoplastic Casson Fluid Past a Stretching Surface in the Presence of viscous dissipation
title_short	Analytical Solution for Suction and Injection Flow of a Viscoplastic Casson Fluid Past a Stretching Surface in the Presence of viscous dissipation
title_full	Analytical Solution for Suction and Injection Flow of a Viscoplastic Casson Fluid Past a Stretching Surface in the Presence of viscous dissipation
title_fullStr	Analytical Solution for Suction and Injection Flow of a Viscoplastic Casson Fluid Past a Stretching Surface in the Presence of viscous dissipation
title_full_unstemmed	Analytical Solution for Suction and Injection Flow of a Viscoplastic Casson Fluid Past a Stretching Surface in the Presence of viscous dissipation
title_sort	analytical solution for suction and injection flow of a viscoplastic casson fluid past a stretching surface in the presence of viscous dissipation
publisher	Springer
publishDate	2016
url	http://umpir.ump.edu.my/id/eprint/16778/ http://umpir.ump.edu.my/id/eprint/16778/ http://umpir.ump.edu.my/id/eprint/16778/ http://umpir.ump.edu.my/id/eprint/16778/1/2016_NCAA_DOI%2010.1007s00521-016-2674-0%20analytical%20solution.pdf
first_indexed	2023-09-18T22:22:47Z
last_indexed	2023-09-18T22:22:47Z
_version_	1777415768007245824

Analytical Solution for Suction and Injection Flow of a Viscoplastic Casson Fluid Past a Stretching Surface in the Presence of viscous dissipation

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