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MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface

Authors:	T Hayat Z Abbas M Sajid

Institution:	1. Department of Mathematics, Statistics and Physics, Qatar University Doha 2713, Qatar;2. Department of Sciences and Humanities, National University of Computers and Emerging Sciences, Lahore, Pakistan;3. Department of Mathematics, COMSATS Institute of Information Technology, Attock 43600, Pakistan;4. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;5. Department of Mathematics, VIT University, Vellore-632014, India;1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;2. Department of Basic Sciences, University of Engineering and Technology, Taxila 47050, Pakistan;3. Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal Upper Dir 18000, Pakistan;1. Department of Computer Science, Bahria University, Islamabad Campus, Islamabad 44000, Pakistan;2. Department of Mathematics, Riphah International University, Islamabad 44000, Pakistan;3. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia;5. Department of Mechanical Engineering, Sejong University, Seoul 143-747, Korea

Abstract:	The present analysis comprises the steady two-dimensional magnetohydrodynamic flow of an upper-convected Maxwell fluid near a stagnation-point over a stretching surface. The governing non-linear partial differential equation for the flow are reduced to an ordinary differential equation by using similarity transformations. The analytic solution of nonlinear system is constructed in the series form using Homotopy analysis method. Convergence of the obtained series is discussed explicitly. The effects of the sundry parameters on the velocity profile is shown through graphs. The values of skin-friction coefficient for different parameters is tabulated.

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