Three Dimensional MHD Hybrid Nanofluid Flow with Rotating Stretching/Shrinking Sheet and Joule Heating

A three-dimensional hybrid nanofluid flow over a stretching/shrinking sheet is numerically studied. The being considered in this study used water as the base fluid and mixed with two types of solid nanoparticles, namely alumina (Al2O3) copper (Cu). main focus current to examine effect magnetic field, Joule heating, rotating on velocity, temperature profiles. In addition, impact suction stretching variations reduced skin friction, , heat transfer are studied well. problem presented governed by system nonlinear partial differential equations (PDEs), which then transformed into corresponding high order ordinary (ODEs) using similarity variables. resulting higher ODEs solved boundary value solver known bvp4c, operates MATLAB computational platform. Results revealed that dual solutions exist for shrinking while unique observed various values Cu nanoparticles volume fraction parameter. Dual also parameter greater than its critical point fraction. Velocity profile increases alongside but declination was temperature, both increases. When rotational increases, velocity profiles increase solutions. This indicates momentum layer thickness increasing solutions, thermal decreases first solution second solution. Finally, an increment Eckert number causes rise well