MHD oblique flow of variable viscosity nanofluid (CuO+H2O${\rm H}_2{\rm O}$) over a rotating disk

Abstract Flow past a rotating disk finds promising applications in rotatory machines, turbines, power systems, spiral galaxies and many more. Building upon current research, this mathematical study introduces a novel approach by investigating the hydromagnetic oblique flow of a variable viscosity nanofluid over a rotating disk, featuring the innovative concept of temperature‐dependent viscosity, which has not been explored in this particular geometry. The flow governing problem is modeled and transformed through scaling analysis which is subsequently solved by mean of shooting algorithm. Flow and heat transfer characteristics are explored against sundry physical parameters. Flow pattern is portrayed and discussed through 3D stream contours. By enhancing rotation parameter , shows increasing behavior while shows opposite effect. It is further observed that nanoparticles volume fraction shows decreasing behavior in temperature profile. and Skin friction coefficient greatly increases while declines with and magnetic flux parameter . Increase in the magnetic field parameter and variable viscosity parameter causes the heat flux rate to rise. Increasing nanoparticles volume fraction from 2% to 9% within the fluid causes boost in heat transfer rate and as a result temperature rises.