Analytical solution to stagnation-point flow and heat transfer over a stretching sheet based on homotopy analysis |
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| Authors: | Jing Zhu Lian-cun Zheng Xin-xin Zhang |
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| Affiliation: | Department of Mathematics and Mechanics, University of Science and Technology Beijing,Beijing 100083, P. R. China;Department of Thermal and Energy Engineering,University of Science and Technology Beijing,Beijing 100083, P. R. China |
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| Abstract: | This paper is concerned with two-dimensional stagnation-point steady flow of an incompressible viscous fluid towards a stretching sheet whose velocity is proportional to the distance from the slit. The governing system of partial differential equations is first transformed into a system of dimensionless ordinary differential equations. Analytical solutions of the velocity distribution and dimensionless temperature profiles are obtained for different ratios of free stream velocity and stretching velocity, Prandtl number, Eckert number and dimensionality index in series forms using homotopy analysis method(HAM).It is shown that a boundary layer is formed when the free stream velocity exceeds the stretching velocity, and an inverted boundary layer is formed when the free stream velocity is less than the stretching velocity. Graphs are presented to show the effects of different parameters. |
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| Keywords: | boundary-layer heat transfer stagnation point stretching sheet homotopy analysis method |
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