A study on the flow of non-Newtonian nanofluid between two coaxial cylinders is made. Two types of series solutions are constructed by choosing constant and variable viscosity. The effects of heat transfer analysis on nanoparticles in the presence of magnetohydrodynamics, porosity and partial slip are also examined. To drive the solutions of nonlinear boundary value problems, we have used a recently developed method, the optimal homotopic asymptotic method, which has been proved an effective technique for solving nonlinear equations. Comparison with existing, documented results through reduction of emerging parameters reveals that the presented series solutions are correct. The solution valid for the no-slip condition for all values of the non-Newtonian parameters can be derived as special case of the present analysis. Finally, the influence of pertinent parameters on velocity, temperature and nanoparticle concentration is discussed and illustrated in graphical form.
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