Abstract
In this article, Williamson fluid flow and heat transfer over a stretching cylinder is discussed. The thermal conductivity is assumed to be vary linearly with temperature. Heat generation/absorption effects are also taken into account. Modeled partial differential equations are converted into ordinary differential form by using appropriate transformations. Shooting method in conjunction with Runge-Kutta-Fehlberg method is used to find the solution of the problem. Moreover, the effects of different flow parameters γ, λ, ϵ, β and Pr on velocity and temperature profiles are shown graphically. Local Nusselt number and skin friction coefficient are shown in tabular and graphical form.
Highlights
For the study of non-Newtonian behavior of fluids, pseudoplastic fluids are commonly in extrusion of polymer sheets, preparation of emulsions and adhesives etc
Homogeneous-heterogeneous reactions in Williamson fluid model over a stretching cylinder was discussed by Malik et al.[4]
Combined effects of variable thermal conductivity and MHD flow on Williamson fluid over a stretching cylinder by using Keller box was discussed by Salahuddin et al.[5]
Summary
For the study of non-Newtonian behavior of fluids, pseudoplastic fluids are commonly in extrusion of polymer sheets, preparation of emulsions and adhesives etc. Williamson[1] explained the pseudoplastic materials and introduced a model equation to describe the pseudoplastic fluid flow Malik et al.[3] studied the numerical solution of MHD stagnation point flow of Williamson fluid over a stretching cylinder. Numerical solution of boundary layer flow with effects of heat transfer over the stretched porous cylinder was discussed by Xinhui et al.[10]. Salahuddin et al.[23] studied that MHD flow of tangent hyperbolic fluid over a stretching cylinder with variable thermal conductivity. In this study we are investigating the Williamson fluid past a stretching cylinder with combined effects of variable thermal conductivity and heat generation/absorption. The effects of pertinent physical parameters e.g; curvature parameter γ, Prandtl number Pr, thermal conductivity variable ε and heat generation coefficient β are discussed in detail
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