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Convective heat transfer and MHD effects on Casson nanofluid flow over a shrinking sheet
Authors:Rizwan Ul Haq  Sohail Nadeem  Zafar Hayyat Khan  Toyin Gideon Okedayo
Institution:1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan
2. Mechanical and Materials Engineering, University of Western Ontario, Spencer Engineering Building, Room3055, London, Ontario, Canada
3. Department of Mathematics, University of Malakand, Dir (Lower), Khyber Pakhtunkhwa, Pakistan
4. Department of Mathematics, Ondo State University of Science and Technology, Okitipupa, Nigeria
Abstract:Current study examines the magnetohydrodynamic (MHD) boundary layer flow of a Casson nanofluid over an exponentially permeable shrinking sheet with convective boundary condition. Moreover, we have considered the suction/injection effects on the wall. By applying the appropriate transformations, system of non-linear partial differential equation along with the boundary conditions are transformed to couple non-linear ordinary differential equations. The resulting systems of non-linear ordinary differential equations are solved numerically using Runge-Kutta method. Numerical results for velocity, temperature and nanoparticle volume concentration are presented through graphs for various values of dimensionless parameters. Effects of parameters for heat transfer at wall and nanoparticle volume concentration are also presented through graphs and tables. At the end, fluid flow behavior is examined through stream lines. Concluding remarks are provided for the whole analysis.
Keywords:
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