This research presents the stagnation point flow with heat transfer of water-based hybrid nanofluid over a stretching/shrinking wedge. Magnetic field is applied normal to the wedge with melting heat transfer effect. The wall of the boundary with slip effect on the surface. Water as base fluid with two different nanoparticles (Al₂O₃ and Cu) is considered. The Navier-Stokes and heat equation are first simplified through similarity variables to convert the partial differential equations (PDEs) into non-dimensional ordinary differential equations (ODEs). The numerical solutions are obtained with the help of bvp4c technique in MATLAB programming. This study is focused on the impacts of different dimensionless parameters on the velocity field, temperature distribution, skin friction coefficient and Nusselt number. It is seen that the solution of governing ODEs has two branches, first and second branch solutions in some specific range of supervising parameters. It is found that heat transfer rate enhances against melting parameter in the first branch solution and converse behavior can be observed for second branch solution. It is also uncovered that in hybrid nanofluid, the momentum and thermal boundary layer thickness enhances in first solution while reduces in the second solution with the advancement of angle of wedge parameter.

这项研究展示了水基混合纳米流体在拉伸/收缩楔子上的热传递的驻点流动。磁场垂直于具有熔化传热效应的楔块施加。在表面上具有滑移效应的边界壁。水作为具有两种不同纳米颗粒（Al ₂ O ₃和Cu） 被认为。Navier-Stokes 和热方程首先通过相似变量进行简化，将偏微分方程 (PDE) 转换为无量纲常微分方程 (ODE)。数值解是借助 MATLAB 编程中的 bvp4c 技术获得的。本研究的重点是不同无量纲参数对速度场、温度分布、皮肤摩擦系数和努塞尔数的影响。可以看出，控制 ODE 的解有两个分支，在某个特定的监管参数范围内，第一和第二分支解。发现在第一分支溶液中，传热速率相对于熔化参数增强，并且对于第二分支溶液可以观察到相反的行为。还发现在混合纳米流体中，