Analytic Solution of Stagnation-Point Flow and Heat Transfer Over a Stretching Sheet by Means of Homotopy Analysis Method

ZHU Jing; ZHENG Lian-cun; ZHANG Xin-xin

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(4): 432-442

ZHU Jing, ZHENG Lian-cun, ZHANG Xin-xin. Analytic Solution of Stagnation-Point Flow and Heat Transfer Over a Stretching Sheet by Means of Homotopy Analysis Method[J]. Applied Mathematics and Mechanics, 2009, 30(4): 432-442.

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Analytic Solution of Stagnation-Point Flow and Heat Transfer Over a Stretching Sheet by Means of Homotopy Analysis Method

1.
Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China;

Received Date: 2008-11-09
Rev Recd Date: 2009-02-16
Publish Date: 2009-04-15

Abstract

Abstract

The steady two-dimensional stagnation-point flow of an incompressible viscous fluid towards a stretching sheet whose velocity is proportional to the distance from the slit is concerned.The governing system of partial differential equations was first transformed into a system of dimensionless ordinary differential equations.The analytical solutions for the velocity distribution and dimensio nless temperature profiles were obtained for the various values of the ratio of free stream velocity and stretching velocity,Prandtl number,Eckert number and dimensionality index in the series forms with the help of 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 plotted to discuss the effects of different parameters.
- boundary-layer,
- heat transfer,
- stagnation point,
- stretching sheet,
- homotopy analysis method

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References(18)

References

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