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Similarity Solution of Hydromagnetic Flow Near Stagnation Point Over a Stretching Surface Subjected to Newtonian Heating and Convective Condition

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Advances in Mathematical Methods and High Performance Computing

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 41))

Abstract

Two-dimensional steady boundary layer flow of an incompressible electrically conducting fluid near a stagnation point region over a stretching surface with Newtonian heating and convective boundary condition in the presence of magnetic field is carried out. Governing nonlinear partial differential equations are reduced into a system of nonlinear ordinary differential equations with the aid of suitable similarity transformations. Numerical solutions of transformed boundary layer equations are clarified by using perturbation technique for small magnetic parameter. Several parameters such as stretching parameter, magnetic parameter, conjugate parameter, and Prandtl number, determining the velocity and temperature profiles, are displayed through graphical representation. Furthermore, impact of controlling parameters on local skin friction coefficient and local Nusselt number is also computed and presented in tabular form. Computational results of shear stress are compared with the previous published works.

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Correspondence to KM Kanika .

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Kanika, K., Chaudhary, S., Choudhary, M.K. (2019). Similarity Solution of Hydromagnetic Flow Near Stagnation Point Over a Stretching Surface Subjected to Newtonian Heating and Convective Condition. In: Singh, V., Gao, D., Fischer, A. (eds) Advances in Mathematical Methods and High Performance Computing. Advances in Mechanics and Mathematics, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-030-02487-1_29

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