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An analytical approximate solution of plane and axisymmetric stagnation-point flow with heat generation |
Received:August 11, 2009 Revised:February 22, 2010 |
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DOI:10.7511/jslx201103016 |
KeyWord:boundary-layer heat transfer stagnation point stretching sheet homotopy analysis method |
Author | Institution |
朱婧 |
北京科技大学数学力学系;北京科技大学热能工程系,北京 |
郑连存 |
北京科技大学数学力学系 |
张欣欣 |
北京科技大学热能工程系,北京 |
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Abstract: |
This work is focused on the steady boundary layer flow and heat transfer near the stagnation point of plane and axisymmetric bodies towards a stretching sheet. The analytical solutions of the velocity and temperature distributions are obtained for the various values of the ratio of free stream velocity and stretching velocity, heat source parameter, Prandtl number and dimension index in the series forms with the aid of homotopy analysis method (HAM). Convergence of the series is explicitly discussed. The effects of all the parameters mentioned above were more pronounced for plane flows than for axisymmetric flows. |