Comparison of horizontal magnetic field and uniform magnetic on the nanofluid flow in rough rotating disk system: A response surface methodology and ANOVA approach

The nanofluid flow over a rough rotating disk has noteworthy applications in advanced thermal and liquid systems due to its improved heat transmission capabilities. The combination of surface roughness and disk rotation increases mixing and disrupts thermal boundary layers, making it ideal for high-efficiency cooling in rotating machinery, such as turbines, disk brakes, and electronic devices. In view of this, the present study elucidates the influence of thermal radiation, porous medium, and non-uniform heat sink/source on the nanoliquid motion across a rough rotating disk with slip conditions. The dimensionless ordinary differential equations (ODEs) are obtained by reducing the governing partial differential equations (PDEs) using the appropriate similarity variables. The resultant ODEs are solved numerically utilizing Runge Kutta Fehlberg’s fourth-fifth order (RKF-45) scheme. Further, the response surface methodology (RSM) in combination with analysis of variance (ANOVA) is employed to evaluate the heat transport rate for different parameters. The variation of momentum and thermal profiles for various parameters is illustrated graphically. The comparison between uniform and horizontal magnetic fields for various parameters is also analyzed in the study for the momentum and temperature profiles. The temperature profile increases as the space and temperature-dependent heat sink/source parameters are enhanced. The tangential and radial velocity profiles decrease as the permeability and magnetic parameters rise.