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The influence of thermal radiation on MHD station-point flow past a stretching sheet with heat generation

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Abstract

This letter is concerned with the plane and axisymmetric stagnation-point flows and heat transfer of an electrically-conducting fluid past a stretching sheet in the presence of the thermal radiation and heat generation or absorption. The analytical solutions for the velocity distribution and dimensionless temperature profiles are obtained for the various values of the ratio of free stream velocity and stretching velocity, heat source parameter, Prandtl number, thermal radiation parameter, the suction and injection velocity parameter and magnetic parameter and dimensionality index in the series form with the help of homotopy analysis method (HAM). Convergence of the series is explicitly discussed. In addition, shear stress and heat flux at the surface are calculated.

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Correspondence to Jing Zhu.

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The project was supported by the National Natural Science Foundations of China (50936003), the Open Project of State Key Laboratory for Advanced Metals & Materials and the Research Foundation of Engineering Research Institute, University of Science and Technology Beijing (2009Z-02).

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Zhu, J., Zheng, LC. & Zhang, XX. The influence of thermal radiation on MHD station-point flow past a stretching sheet with heat generation. Acta Mech Sin 27, 502–509 (2011). https://doi.org/10.1007/s10409-011-0488-y

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  • DOI: https://doi.org/10.1007/s10409-011-0488-y

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