The role of nanoparticle diameter and solid-fluid interfacial layer behavior under low oscillating magnetic fields: A response surface methodology and ANOVA approach

The present analysis investigates the influence of nanoparticle diameter, low-oscillating magnetic field, and slip conditions on the Boger nanoliquid flow across a rotating rough disk under the impact of solid-fluid interfacial layer. Additionally, the consequence of Cattaneo-Christov heat flux and non-linear thermal radiation is taken into account to analyze the heat transmission attributes. The governing partial differential equations (PDEs) are reduced into dimensionless ordinary differential equations (ODEs) with the use of suitable similarity transformations. Further, the resulting equations are solved numerically by utilizing the Runge Kutta Fehlberg’s fourth-fifth order (RKF-45) approach. Furthermore, response surface methodology (RSM) and analysis of variance (ANOVA) were utilized for statistical assessment, executed by the fitting of a general linear model. The computational study on the heat transport rate for different parameters is conducted with the help of RSM. Additionally, a visual depiction is provided for the consequence of several dimensionless factors on temperature and velocity profiles. The velocity profile rises as solid volume fraction and solvent fraction parameter values rise. The velocity profiles decrease as the relaxation time ratio increases. The temperature profile upsurges as the radiation parameter values grow, and the thermal profile declines as the thermal relaxation time parameter increases.