Effects of viscous dissipation and Joule heating on the Couette and Poiseuille flows of a Jeffrey fluid with slip boundary conditions
In this article, we have presented the exact solutions of the Couette, Poiseuille and generalized Couette flows of an incompressible magnetohydrodynamic Jeffrey fluid between parallel plates through homogeneous porous medium. The effects of slip boundary conditions and heat transfer are considered....
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2018-12-01
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| Series: | Propulsion and Power Research |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2212540X18300634 |
| _version_ | 1797711686815186944 |
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| author | K. Ramesh |
| author_facet | K. Ramesh |
| author_sort | K. Ramesh |
| collection | DOAJ |
| description | In this article, we have presented the exact solutions of the Couette, Poiseuille and generalized Couette flows of an incompressible magnetohydrodynamic Jeffrey fluid between parallel plates through homogeneous porous medium. The effects of slip boundary conditions and heat transfer are considered. Viscous dissipation, radiation and Joule heating are also considered in the energy equation. The governing equations of the Jeffrey fluid flow are modeled in Cartesian coordinate system. Analytical solutions for the velocity and temperature profiles are obtained for all mentioned cases. The influences of the sundry parameters on the velocity and temperature profiles are studied and the results are presented through graphs. It is noted that, with increase of slip parameter and pressure gradient increases the velocity. Temperature behaves as a decreasing function due to the impact of Hartmann number, non-Newtonian parameter and slip parameter in all noted problems. Keywords: Jeffrey fluid, Heat transfer, Joule heating, Radiation, Viscous dissipation, Slip boundary conditions |
| first_indexed | 2024-03-12T07:09:45Z |
| format | Article |
| id | doaj.art-fdb49cf1719a4c928e8e87f8d214bc91 |
| institution | Directory Open Access Journal |
| issn | 2212-540X |
| language | English |
| last_indexed | 2024-03-12T07:09:45Z |
| publishDate | 2018-12-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Propulsion and Power Research |
| spelling | doaj.art-fdb49cf1719a4c928e8e87f8d214bc912023-09-02T23:12:16ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2018-12-0174329341Effects of viscous dissipation and Joule heating on the Couette and Poiseuille flows of a Jeffrey fluid with slip boundary conditionsK. Ramesh0Department of Mathematics, Symbiosis Institute of Technology, Symbiosis International University, Pune 412115, IndiaIn this article, we have presented the exact solutions of the Couette, Poiseuille and generalized Couette flows of an incompressible magnetohydrodynamic Jeffrey fluid between parallel plates through homogeneous porous medium. The effects of slip boundary conditions and heat transfer are considered. Viscous dissipation, radiation and Joule heating are also considered in the energy equation. The governing equations of the Jeffrey fluid flow are modeled in Cartesian coordinate system. Analytical solutions for the velocity and temperature profiles are obtained for all mentioned cases. The influences of the sundry parameters on the velocity and temperature profiles are studied and the results are presented through graphs. It is noted that, with increase of slip parameter and pressure gradient increases the velocity. Temperature behaves as a decreasing function due to the impact of Hartmann number, non-Newtonian parameter and slip parameter in all noted problems. Keywords: Jeffrey fluid, Heat transfer, Joule heating, Radiation, Viscous dissipation, Slip boundary conditionshttp://www.sciencedirect.com/science/article/pii/S2212540X18300634 |
| spellingShingle | K. Ramesh Effects of viscous dissipation and Joule heating on the Couette and Poiseuille flows of a Jeffrey fluid with slip boundary conditions Propulsion and Power Research |
| title | Effects of viscous dissipation and Joule heating on the Couette and Poiseuille flows of a Jeffrey fluid with slip boundary conditions |
| title_full | Effects of viscous dissipation and Joule heating on the Couette and Poiseuille flows of a Jeffrey fluid with slip boundary conditions |
| title_fullStr | Effects of viscous dissipation and Joule heating on the Couette and Poiseuille flows of a Jeffrey fluid with slip boundary conditions |
| title_full_unstemmed | Effects of viscous dissipation and Joule heating on the Couette and Poiseuille flows of a Jeffrey fluid with slip boundary conditions |
| title_short | Effects of viscous dissipation and Joule heating on the Couette and Poiseuille flows of a Jeffrey fluid with slip boundary conditions |
| title_sort | effects of viscous dissipation and joule heating on the couette and poiseuille flows of a jeffrey fluid with slip boundary conditions |
| url | http://www.sciencedirect.com/science/article/pii/S2212540X18300634 |
| work_keys_str_mv | AT kramesh effectsofviscousdissipationandjouleheatingonthecouetteandpoiseuilleflowsofajeffreyfluidwithslipboundaryconditions |