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Numerical study of unsteady axisymmetric flow and heat transfer in Carreau fluid past a stretched surface

In this article, we present the numerical results for the unsteady axisymmetric flow and heat transfer of Carreau fluid induced by time dependent permeable radially stretching surface. Numerical results are demonstrated for both shear thinning and shear thickening fluids. The time dependent non-linear partial differential equations of the considered problem are reduced into non-linear ordinary differential equations with the aid of suitable transformations. An effective numerical technique namely bvp4c function in MATLis employed to construct the numerical solutions of the transformed non-linear ordinary differential equations for the velocity and temperature fields. Numerical computations of the local skin-friction coefficient and local Nusselt number are tabulated for steady and unsteady flows of shear thinning fluid as well as shear thickening fluid. It is worth mentioning that the magnitude of the skin friction coefficient and local Nusselt number for the steady flow is less than that for unsteady flow .
PAPER REVISED: 2017-03-31
PAPER ACCEPTED: 2017-05-20
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