An analysis was carried out to study the flow and heat transfer characteristics in a second-grade fluid through a porous medium over a linear stretching surface with two general cases, namely PST and PHF, including the effect of viscous dissipation. The partial differential equations governing the flow and heat transfer are converted into nonlinear ordinary differential equations and boundary conditions by using suitable similarity transformation. The proposed problem was solved analytically by the power series method (using Kummer's function). The graphical results for velocity, skin-friction coefficient, and temperature (for PST and PHF cases) are presented and discussed. The numerical values of wall friction coefficient , wall temperature gradient (0), and wall temperature (0) are also calculated, tabulated, and discussed.