Abstract Present work has been studied the stagnation-point flow of hybrid Ag-CuO/water nanofluids over the stretching/shrinking sheet. The Navier-Stokes equations have reduced to the ordinary differential equations with similarity transformation. Runge-Kutta Fehlberg (RKF45), together with the shooting method, is employed to solve the differential equations. Numerical analysis showed that dual solutions exist and are connected to the specific values of the shrinking rate. All figures have the same behavior with the suction/injection parameter. Furthermore, with the intensification of the suction/injection parameter, the graphs are contracted, and the lower solutions become extended. The friction factor of Ag/water and hybrid nanofluids is increased by about 50–70% and 35–50% with suction/injection parameter, respectively. Normalized Nusselt number for Ag/water and hybrid nanofluids are increase by about 150–200% and 100% with suction/injection parameter, respectively. Time-dependent stability analysis showed that only the upper branch of solutions is stable, while the lower branch is not in actual physics.

中文翻译：

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Ag-CuO/水杂化纳米流体在可渗透拉伸/收缩片上的驻点流动与时间稳定性分析

摘要 目前的工作已经研究了混合 Ag-CuO/水纳米流体在拉伸/收缩片上的驻点流动。Navier-Stokes 方程已经简化为具有相似变换的常微分方程。Runge-Kutta Fehlberg (RKF45) 与射击法一起用于求解微分方程。数值分析表明存在对偶解并且与收缩率的具体值有关。所有图形都具有与吸入/注入参数相同的行为。此外，随着吸入/注射参数的增加，图形收缩，并且下层解扩展。Ag/水和混合纳米流体的摩擦系数随着吸入/注射参数分别增加了约 50-70% 和 35-50%。Ag/水和混合纳米流体的归一化努塞尔数分别随着吸入/注射参数增加约 150-200% 和 100%。瞬态稳定性分析表明，只有解的上支是稳定的，而下支在实际物理中并不稳定。