Magnetohydrodynamic thin film and heat transfer of power law fluids over an unsteady stretching sheet with variable thermal conductivity
This paper presents an investigation on the MHD thin film flow and heat transfer of a power law fluid over an unsteady stretching sheet. The effects of power law viscosity on a temperature field are taken into account with a modified Fourier’s law Proposed by Zheng by assuming that the temp...
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VINCA Institute of Nuclear Sciences
2016-01-01
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| Series: | Thermal Science |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-98361400034L.pdf |
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doaj-173ef10fee784638a72a78a42aafff922021-01-02T01:04:12ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632016-01-012061791180010.2298/TSCI130527034L0354-98361400034LMagnetohydrodynamic thin film and heat transfer of power law fluids over an unsteady stretching sheet with variable thermal conductivityLin Yanhai0Zheng Liancun1Li Botong2Zhang Xinxin3School of Mechanical Engineering, University of Science and Technology Beijing, Beijing, China + School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, ChinaSchool of Mathematics and Physics, University of Science and Technology Beijing, Beijing, ChinaInternational Center for Applied Mechanics, State Key Laboratory for the Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an, Shanxi, P.R. ChinaSchool of Mechanical Engineering, University of Science and Technology Beijing, Beijing, ChinaThis paper presents an investigation on the MHD thin film flow and heat transfer of a power law fluid over an unsteady stretching sheet. The effects of power law viscosity on a temperature field are taken into account with a modified Fourier’s law Proposed by Zheng by assuming that the temperature field is similar to the velocity field. The governing equations are reduced to a system of nonlinear ordinary differential equations. The numerical solutions are obtained by using the shooting method coupled with the Runge-Kutta method. The influence of the Hartmann number, the power law exponent, the unsteadiness parameter, the thickness parameter and the generalized Prandtl number on the velocity and temperature fields are presented graphically and analyzed. Moreover, the critical formula for parameters are derived which indicated that the magnetic field has no effect on the critical value.http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-98361400034L.pdfpower law fluidsthin filmstretching sheetmagnetohydrodynamicheat transfer |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lin Yanhai Zheng Liancun Li Botong Zhang Xinxin |
| spellingShingle |
Lin Yanhai Zheng Liancun Li Botong Zhang Xinxin Magnetohydrodynamic thin film and heat transfer of power law fluids over an unsteady stretching sheet with variable thermal conductivity Thermal Science power law fluids thin film stretching sheet magnetohydrodynamic heat transfer |
| author_facet |
Lin Yanhai Zheng Liancun Li Botong Zhang Xinxin |
| author_sort |
Lin Yanhai |
| title |
Magnetohydrodynamic thin film and heat transfer of power law fluids over an unsteady stretching sheet with variable thermal conductivity |
| title_short |
Magnetohydrodynamic thin film and heat transfer of power law fluids over an unsteady stretching sheet with variable thermal conductivity |
| title_full |
Magnetohydrodynamic thin film and heat transfer of power law fluids over an unsteady stretching sheet with variable thermal conductivity |
| title_fullStr |
Magnetohydrodynamic thin film and heat transfer of power law fluids over an unsteady stretching sheet with variable thermal conductivity |
| title_full_unstemmed |
Magnetohydrodynamic thin film and heat transfer of power law fluids over an unsteady stretching sheet with variable thermal conductivity |
| title_sort |
magnetohydrodynamic thin film and heat transfer of power law fluids over an unsteady stretching sheet with variable thermal conductivity |
| publisher |
VINCA Institute of Nuclear Sciences |
| series |
Thermal Science |
| issn |
0354-9836 2334-7163 |
| publishDate |
2016-01-01 |
| description |
This paper presents an investigation on the MHD thin film flow and heat
transfer of a power law fluid over an unsteady stretching sheet. The effects
of power law viscosity on a temperature field are taken into account with a
modified Fourier’s law Proposed by Zheng by assuming that the temperature
field is similar to the velocity field. The governing equations are reduced
to a system of nonlinear ordinary differential equations. The numerical
solutions are obtained by using the shooting method coupled with the
Runge-Kutta method. The influence of the Hartmann number, the power law
exponent, the unsteadiness parameter, the thickness parameter and the
generalized Prandtl number on the velocity and temperature fields are
presented graphically and analyzed. Moreover, the critical formula for
parameters are derived which indicated that the magnetic field has no effect
on the critical value. |
| topic |
power law fluids thin film stretching sheet magnetohydrodynamic heat transfer |
| url |
http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-98361400034L.pdf |
| work_keys_str_mv |
AT linyanhai magnetohydrodynamicthinfilmandheattransferofpowerlawfluidsoveranunsteadystretchingsheetwithvariablethermalconductivity AT zhengliancun magnetohydrodynamicthinfilmandheattransferofpowerlawfluidsoveranunsteadystretchingsheetwithvariablethermalconductivity AT libotong magnetohydrodynamicthinfilmandheattransferofpowerlawfluidsoveranunsteadystretchingsheetwithvariablethermalconductivity AT zhangxinxin magnetohydrodynamicthinfilmandheattransferofpowerlawfluidsoveranunsteadystretchingsheetwithvariablethermalconductivity |
| _version_ |
1724363195812937728 |