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The flow regime is modeled in terms of partial differential equations. To non-dimensionalize the system of governing equations, dimensionless variables have been derived through Buckingham-Pi theorem. The system of partial differential equations is solved through assumed periodic solutions (Poincare-Light Hill Technique). The expressions for skin friction (shear stresses at [Formula see text]) and Nusselt number (the rate of heat transfer) are also calculated. Moreover, parametric influence on Nusselt number, and ve