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A mathematical model is presented and analyzed for steady two-dimensional   non-isothermal laminar free convective boundary layer flow along a   convectively heated moving horizontal plate. New similarity transformations   are developed using one parameter deductive group transformations and hence   the governing transport equations are reduced to a system of coupled,   nonlinear ordinary differential equations with associated boundary   conditions. The reduced equations are then solved numerically by an implicit   finite difference numerical method. The effects of pertinent parameters on   the non-dimensional velocity, temperature, friction factor and heat transfer   rates are investigated and presented graphically. It is found that friction   factor decreases with the free convective parameter and rate of heat   transfer increases with the convection-conduction parameter

New similarity solution of boundary layer flow along a continuously moving convectively heated horizontal plate by deductive group method