Abstract
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We will analyze some steady and unsteady non-Newtonian laminar flows. The momentum equations give rise to system of highly nonlinear partial differential equations. Even after the boundary layer approximations, it becomes difficult to solve the resulting system of nonlinear partial differential equations, analytically or numerically. We will find suitable similarity variables by Lie group analysis. The obtained similarity variables will reduce the partial differential equations into ordinary differential equations, which will be solved by different analytical and numerical techniques. The results will be discussed with plausible physical interpretations.