Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium
The effect of slip condition on MHD free convective flow of non-Newtonian fluid over a nonlinearly stretching sheet saturated in porous medium with Newtonian heating is analyzed. The governing nonlinear coupled partial differential equations with auxiliary conditions are transformed into the system...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-04-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364716301562 |
| _version_ | 1829139266431614976 |
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| author | Imran Ullah Sharidan Shafie Ilyas Khan |
| author_facet | Imran Ullah Sharidan Shafie Ilyas Khan |
| author_sort | Imran Ullah |
| collection | DOAJ |
| description | The effect of slip condition on MHD free convective flow of non-Newtonian fluid over a nonlinearly stretching sheet saturated in porous medium with Newtonian heating is analyzed. The governing nonlinear coupled partial differential equations with auxiliary conditions are transformed into the system of coupled ordinary differential equations via similarity transformations and then solved numerically using Keller-box method. The results for skin friction coefficient and the reduced Nusselt number are obtained and compared with previous results in the literature and are found to be in excellent agreement. Results show that the slip parameter reduces the velocity of Casson fluid and enhances the shear stress. It is also observed that slip effect is more pronounced on temperature profile in comparison with velocity profile. It is also seen that velocity and dimensionless temperature are increasing functions of Newtonian heating parameter. Further, temperature gradient is an increasing function of thermal buoyancy parameter and Newtonian heating parameter whereas a decreasing function of porosity parameter and nonlinear stretching sheet parameter. |
| first_indexed | 2024-12-14T19:33:51Z |
| format | Article |
| id | doaj.art-6df030fc519243629c829eff0371c9d0 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-14T19:33:51Z |
| publishDate | 2017-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-6df030fc519243629c829eff0371c9d02022-12-21T22:49:58ZengElsevierJournal of King Saud University: Science1018-36472017-04-0129225025910.1016/j.jksus.2016.05.003Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous mediumImran Ullah0Sharidan Shafie1Ilyas Khan2Department of Mathematical Sciences, Faculty of Science, Universiti Technologi Malaysia, 81310 UTM Johor Bahru, Johor, MalaysiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Technologi Malaysia, 81310 UTM Johor Bahru, Johor, MalaysiaBasic Sciences Department, College of Engineering Majmaah University, P.O. Box 66, Majmaah 11952, Saudi ArabiaThe effect of slip condition on MHD free convective flow of non-Newtonian fluid over a nonlinearly stretching sheet saturated in porous medium with Newtonian heating is analyzed. The governing nonlinear coupled partial differential equations with auxiliary conditions are transformed into the system of coupled ordinary differential equations via similarity transformations and then solved numerically using Keller-box method. The results for skin friction coefficient and the reduced Nusselt number are obtained and compared with previous results in the literature and are found to be in excellent agreement. Results show that the slip parameter reduces the velocity of Casson fluid and enhances the shear stress. It is also observed that slip effect is more pronounced on temperature profile in comparison with velocity profile. It is also seen that velocity and dimensionless temperature are increasing functions of Newtonian heating parameter. Further, temperature gradient is an increasing function of thermal buoyancy parameter and Newtonian heating parameter whereas a decreasing function of porosity parameter and nonlinear stretching sheet parameter.http://www.sciencedirect.com/science/article/pii/S1018364716301562MHDCasson fluidPorous mediumSlip flowFree convectionNewtonian heating |
| spellingShingle | Imran Ullah Sharidan Shafie Ilyas Khan Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium Journal of King Saud University: Science MHD Casson fluid Porous medium Slip flow Free convection Newtonian heating |
| title | Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium |
| title_full | Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium |
| title_fullStr | Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium |
| title_full_unstemmed | Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium |
| title_short | Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium |
| title_sort | effects of slip condition and newtonian heating on mhd flow of casson fluid over a nonlinearly stretching sheet saturated in a porous medium |
| topic | MHD Casson fluid Porous medium Slip flow Free convection Newtonian heating |
| url | http://www.sciencedirect.com/science/article/pii/S1018364716301562 |
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