A numerical approach to the modeling of Thompson and Troian slip on magnetized flow of <i>Al</i> <sub>2</sub> <i>O</i> <sub>3</sub> – <i>PAO</i> nanolubricant over an inclined rotating disk
Riaz Muhammad, Nargis Khan
Abstract
In automotive fluids, hydraulic, gear, and bearing oils, as well as in applications operating in extremely high or cold temperatures, PAO is widely employed. In present work, we have made an attempt to develop a mathematical model to discuss the flow of magnetized [Formula: see text] nanolubricant over an inclined rotating disk in Darcy-Forchheimer porous medium with Thompson and Troian slip at the boundary. The effects of mixed convection, nonlinear heat radiation, viscous dissipation, Joule heating, and non-uniform heat source/sink are also included in the modeling. We have solved the proposed model numerically with the help of MATLAB built-in bvp-4c method after metamorphosing the PDEs to ODEs. The enhancing values of inertial parameter and velocity slip parameter decrease the tangential and radial velocities of the nanolubricant. The temperature of the nanolubricant [Formula: see text] enhance significantly by strengthening the magnetic field, whereas radial and tangential velocities get retarded. The non-uniform heat source/sink parameters play a vital role in controlling heat transmission phenomenon. The increasing values of Eckert number, radiation parameter, and non-uniform heat generation parameters tend to increase the value of Nusselt number. The value of Nusselt number drops with rising values of Biot number and non-uniform heat sink parameters.