| Summary: | This study examines the convective flow of a constant, laminar, and incompressible viscous fluid over a plate that moves by the assumption of nanoparticles, such as Al and Cu. In the governing equations, we considered three major effects of heat transfers: radiation, internal heat generation, and viscous dissipation factor. Either we used “similarity transformations” we converted momentum and temperature PDE “Partial Differential Equations” to nonlinear ODE “Ordinary Differential Equations.” Those governing equations were resolved by a new and effective semi-analytic approach named the Akbari-Ganji method (AGM). Comparison of the problem-solving outcomes by the methods used with the outcomes of the previous search exhibits good agreement. When the suction parameter values are increased velocity of the nanofluid is augmented, but temperature reduces with a rising of the suction parameter in both nanofluids. Increasing the λ “slip term of velocity “cause rising values of the velocity term compared with the temperature gradient, which decreases strongly. Also, the temperature and velocity variations are between −0.5 and 1.5.
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