The current investigation aimed for the exploration of steady-state, incompressible flow and energy transportation of water-based copper oxide nanofluid past a linear stretching sheet through suction/injection possessions. Furthermore, the impact of magnetohydrodynamic, radiation, and entropy generation are taken in the problem development. The nonlinear equations are reframed into single independent variable equations by the implication of appropriate similarity transformations. The Fehlberg scheme is developed for the numerical computations of re-structured non-linear expressions. The variations of influential constraints on the dimensionless physical quantities are investigated and reported in detail. The prominent features of the investigation include the higher velocity and weaker temperature is achieved against the incrementing stretching constraint values. The irreversibility ratio is reduced against the emerging stretching strength constraint. The Bejan number is decaying against the higher magnetic constraint. The blowing and suction have opposite impacts on the skin-friction factors.
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