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The present investigation consists of an analytical treatment of a steady boundary layer flow of a Walter’s B fluid due to a stretching cylinder with temperature dependent variable viscosity. The heat transfer analysis is also considered. With the help of usual similarity transformations the governing equations have been transformed into nonlinear ordinary differential equations and are solved by a powerful technique homotopy analysis method. Two models of variable viscosity, namely, Reynolds and Vogel’s models are taken into account. The convergence is checked by plotting h-curves. The emerging parameters are discussed through graphs.