Dual simulations in non-Newtonian fluids considering thermal jumps towards stretching/shrinking disk: Taguchi ANOVA optimization

Abstract The current model explores the role of dual simulations of Casson fluid and Sisko fluid in mass diffusion and heat energy on expanding and shrinking disk, considering tri- and hybrid nano-fluid, which investigates the performance between fluid flow and heat energy for the cases of the lower branch and the upper branch. The correlations of tri, mono and di nanofluid are called Hamilton Crosser and Yamada Ota models. The desired form of PDEs (partial differential equations) is obtained using transformations. The numerical simulations of ODEs (ordinary differential equations) are attained using a finite element approach. Soret and Dufour influences are considered with Joule heating and thermal conductivity (variable). Such a model is applicable in heat exchangers, thermal insulation, and engine cooling systems. The Taguchi approach is used for heat transfer rate. The results reveal the simulations of motion, concentration and heat energy in view tables, graphs and contour graphs. Skin friction and temperature gradient are discussed for UBS (upper branch solution) and LBS (lower branch solution) with various parameters. The opposite trend in momentum boundary layer thickness occurs when N and B a are enhanced. The mass diffusion can be reduced when Sc and Kc are enhanced.