Numerical simulation of heat transfer in MHD stagnation point flow of Cross fluid model towards a stretched surface
The present investigation studies heat transfer in MHD stagnation point flow of Cross fluid over a stretched surface. A Cross fluid is a kind of generalized Newtonian liquid whose viscosity relies on shear rate. Fluid is electrically conducting in the presence of an applied magnetics fluids. System...
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| Published in | Results in physics Vol. 7; pp. 1824 - 1827 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
2017
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 2211-3797 2211-3797 |
| DOI | 10.1016/j.rinp.2017.05.022 |
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| Abstract | The present investigation studies heat transfer in MHD stagnation point flow of Cross fluid over a stretched surface. A Cross fluid is a kind of generalized Newtonian liquid whose viscosity relies on shear rate. Fluid is electrically conducting in the presence of an applied magnetics fluids. System of ordinary differential equations is obtained by appropriate transformation. The flow equations are solved with the help of Runga-Kutta-Fehlberg method. Convergent series solutions are computed for the resulting nonlinear differential system. Impact of different parameters on the velocity and temperature profiles is studied. It is observed that velocity distribution decreases for larger values of Weissenberg number. However temperature decays for rising values of Prandtl number. Further computation for surface drag force and heat transfer rate are presented and discussed through numerical data. |
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| AbstractList | The present investigation studies heat transfer in MHD stagnation point flow of Cross fluid over a stretched surface. A Cross fluid is a kind of generalized Newtonian liquid whose viscosity relies on shear rate. Fluid is electrically conducting in the presence of an applied magnetics fluids. System of ordinary differential equations is obtained by appropriate transformation. The flow equations are solved with the help of Runga-Kutta-Fehlberg method. Convergent series solutions are computed for the resulting nonlinear differential system. Impact of different parameters on the velocity and temperature profiles is studied. It is observed that velocity distribution decreases for larger values of Weissenberg number. However temperature decays for rising values of Prandtl number. Further computation for surface drag force and heat transfer rate are presented and discussed through numerical data. The present investigation studies heat transfer in MHD stagnation point flow of Cross fluid over a stretched surface. A Cross fluid is a kind of generalized Newtonian liquid whose viscosity relies on shear rate. Fluid is electrically conducting in the presence of an applied magnetics fluids. System of ordinary differential equations is obtained by appropriate transformation. The flow equations are solved with the help of Runga-Kutta-Fehlberg method. Convergent series solutions are computed for the resulting nonlinear differential system. Impact of different parameters on the velocity and temperature profiles is studied. It is observed that velocity distribution decreases for larger values of Weissenberg number. However temperature decays for rising values of Prandtl number. Further computation for surface drag force and heat transfer rate are presented and discussed through numerical data. Keywords: Cross fluid model, Heat transfer, MHD, Runga-Kutta-Fehlberg method |
| Author | Tamoor, M. Hayat, T. Alsaedi, A. Khan, M. Ijaz Waqas, M. |
| Author_xml | – sequence: 1 givenname: T. surname: Hayat fullname: Hayat, T. organization: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan – sequence: 2 givenname: M. Ijaz surname: Khan fullname: Khan, M. Ijaz email: mikhan@math.qau.edu.pk organization: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan – sequence: 3 givenname: M. surname: Tamoor fullname: Tamoor, M. email: t.qau33@gmail.com organization: Department of Basic Sciences, University of Engineering and Technology, Taxila 47050, Pakistan – sequence: 4 givenname: M. surname: Waqas fullname: Waqas, M. organization: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan – sequence: 5 givenname: A. surname: Alsaedi fullname: Alsaedi, A. organization: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia |
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| Keywords | MHD Cross fluid model Runga-Kutta-Fehlberg method Heat transfer |
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| SubjectTerms | Cross fluid model Heat transfer MHD Runga-Kutta-Fehlberg method |
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| Title | Numerical simulation of heat transfer in MHD stagnation point flow of Cross fluid model towards a stretched surface |
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