Abstract
In present study effects of magnetic field and variable thermal conductivity on Sisko fluid model are analyzed. The modeled partial differential equations are simplified by boundary layer approach. Appropriate similarity transformations are applied to transform governing partial differential equations into ordinary differential equations. Then these equations are solved numerically by shooting method in combination with Runge-Kutta-Fehlberg method. Comparison between present and previous computed results is presented via tables. The variations in fluid velocity and temperature are displayed through graphs for different values of Sisko fluid parameter, curvature parameter, magnetic field parameter, thermal conductivity parameter and Prandtl number. The effects of physical parameters on skin friction coefficient and local Nusselt number are exhibited with figures and tables.
Highlights
The analysis of non-Newtonian fluids has gained an abundance of attention amongst researchers in last few decades due to its wide use in industry
The variations in fluid velocity and temperature are displayed through graphs for different values of Sisko fluid parameter, curvature parameter, magnetic field parameter, thermal conductivity parameter and Prandtl number
By increasing thermal conductivity and curvature parameter γ fluid temperature rises while Prandtl number Pr causes reduction in temperature
Summary
The analysis of non-Newtonian fluids has gained an abundance of attention amongst researchers in last few decades due to its wide use in industry. Hsiao[10] studied the MHD stagnation point flow of visco-elastic fluid on thermal forming stretching sheet with viscous dissipation effect He found that heat transfer rate decreases by increasing magnetic field. Boundary layer stagnation point flow of MHD Williamson fluid over stretching cylinder was investigated by Malik et al.[14] The numerical solution of governing flow equations was computed with Runge-Kutta-Fehlberg method. Chiam[32] was primarily surmised thermal conductivity variable in his problem In this analysis he considered boundary layer flow of two-dimensional viscous fluid over a porous stretching sheet and heat transfer with variable thermal conductivity. Mishra et al.[33] analyzed the two dimensional unsteady boundary layer flow of Newtonian fluid past a stretching plate and heat transfer with variable thermal conductivity. The effects of curvature parameter, magnetic field parameter, material parameter, thermal conductivity parameter and Prandlt number on velocity and temperature distributions are analyzed via graphs
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