Effects of Joule heating on MHD flow of hybrid nanofluid between rotating disks

The flow confined between bounded surfaces is referred to as internal flow. This flow between two disks has numerous advantages, including, food processing, gas turbine rotors, air purification and rotatory machinery. The thermal conductivity and heat transfer properties of nanoparticles make them highly valuable in various engineering and industrial fields. Both disks rotate with an angular velocity ${\Omega }_1$ at the lower disk and ${\Omega }_2$ at the upper disk. The hybrid nanofluid is formed by mixing copper and silver nanoparticles with Kerosene oil, enhancing its thermal conductivity. A constant magnetic field of intensity $B_0$ is applied parallel to $z-$ axis. Furthermore, innovative effects of Soret and Dufour numbers, thermophysical features of hybrid nanofluid, viscous dissipation, and joule heating are taken, and a new model for heat transport is achieved. The leading equations are transformed into dimensionless forms using suitable transformations. The homotopy analysis method (HAM) is employed to obtain the solution of these transformed ordinary differential equations (ODEs). The non-dimensional physical parameters like magnetic field, stretching parameters of upper and lower disks, Soret and Dufour numbers, chemical reaction parameter, Eckert number, rotation parameter and Schmidt number that influence the velocities, temperature, and concentration distributions are presented through graphs and discussed briefly. Increasing the magnetic and upper disk stretching parameters, the axial velocity drops, but the lower stretching factor escalates the axial velocity. Sherwood number is escalated by expanding Schmidt number and chemical reaction parameters, while dropped against Soret number. The temperature profile declines with the snowballing in the Dufour parameter. The conclusions demonstrate that the effect of the magnetic parameter improved skin friction by 5.2%. The effect of the magnetic parameter on skin friction at the lower disk is 3.4% better than nanofluid. The Nusselt number at both disks escalates against the radiation parameter by 5.2% (Lower disk) and 6%, (Upper disk).