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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2016
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| Online Access: | http://umpir.ump.edu.my/id/eprint/16778/1/2016_NCAA_DOI%2010.1007s00521-016-2674-0%20analytical%20solution.pdf |
| _version_ | 1796991975664123904 |
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| 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 |
| collection | UMP |
| 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. |
| first_indexed | 2024-03-06T12:13:15Z |
| format | Article |
| id | UMPir16778 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:13:15Z |
| publishDate | 2016 |
| publisher | Springer |
| record_format | dspace |
| spelling | UMPir167782017-09-11T08:23:29Z 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. (Published) http://link.springer.com/article/10.1007/s00521-016-2674-0 DOI 10.1007/s00521-016-2674-0 |
| 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 |
| title | 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_short | 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 |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/16778/1/2016_NCAA_DOI%2010.1007s00521-016-2674-0%20analytical%20solution.pdf |
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