Thermal boundary layer analysis of nanofluid flow past over a stretching flat plate in different transpiration conditions by using DTM-Pade method
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Authors
M. A. Yousif
- University of Zakho, Faculty of Science, Department of Mathematics, International Road Zakho-Duhok, P. O. Box 12, Duhok, Kurdistan Region, Iraq.
M. Hatami
- Mechanical Engineering Department, Esfarayen University of Technology, Esfarayen, North Khorasan, Iran.
B. A. Mahmood
- University of Duhok-Faculty of Science, Department of Mathematics, Kurdistan Region, Iraq.
M. M. Rashidi
- Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Address: 4800 Cao An Rd., Jiading, Shanghai 201804, China.
Abstract
In this paper, Differential Transformation Method (DTM) is applied on governing equations of heat and fluid flow for
a nanofluid over a horizontal flat plate. After obtaining the governing equations and solving them by DTM, the accuracy of
results is examined by fourth order Runge-kutta numerical method. Due to infinite boundary condition for the stretching plate,
outcomes need to an improvement method to be converged. For this aim, Padé approximation is applied on the obtained results
which [10,10] Padé order had the best accuracy compared to numerical method. The influence of relevant parameters such
as the transpiration parameter on temperature and nanoparticle concentration profile is discussed and it is concluded that by
increasing this parameter, nanoparticles concentration over the plate decrease due to more fluid penetration from pores and this
is the main reason of lower thermal boundary layer caused by fewer nanoparticles over the plate.
Share and Cite
ISRP Style
M. A. Yousif, M. Hatami, B. A. Mahmood, M. M. Rashidi, Thermal boundary layer analysis of nanofluid flow past over a stretching flat plate in different transpiration conditions by using DTM-Pade method, Journal of Mathematics and Computer Science, 17 (2017), no. 1, 84-95
AMA Style
Yousif M. A., Hatami M., Mahmood B. A., Rashidi M. M., Thermal boundary layer analysis of nanofluid flow past over a stretching flat plate in different transpiration conditions by using DTM-Pade method. J Math Comput SCI-JM. (2017); 17(1):84-95
Chicago/Turabian Style
Yousif, M. A., Hatami, M., Mahmood, B. A., Rashidi, M. M.. "Thermal boundary layer analysis of nanofluid flow past over a stretching flat plate in different transpiration conditions by using DTM-Pade method." Journal of Mathematics and Computer Science, 17, no. 1 (2017): 84-95
Keywords
- Nanofluid
- DTM-Pad´e
- boundary layer
- Lewis number
- heat transfer.
MSC
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