Abstract

In this paper, we demonstrate that previously reported analytical solutions for the temperature field given in terms of Kummer’s function by Nandeppanavar et al. (2011) [1], are incorrect. We then provide valid solutions of the governing ordinary differential equations for the fluid flow and temperature field using the homotopy analysis method (HAM) for two general types of non-isothermal boundary conditions, namely, prescribed surface temperature and prescribed heat flux. Our analysis is supported by a graphical and tabular demonstration of convergence of the HAM solutions.

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