Combine optimizations of rheologically complex fluids using a multiscale hybrid nanofluid across a vertical stretching/ shrinking disk: Response surface method

The current study employs dual numerical simulations of Sisko and Boger fluids on a disk. Two-way movement of nanofluid is induced by the expanding and shrinking movements of the disk. The applications of tetra-hybrid nanofluids are incorporated, which are used in electronic cooling devices, solar energy, electronic devices, heat exchangers, and lubrication. The combined effect of the electric and Lorentz force is considered. The analysis of heat energy and mass diffusion is discussed with Joule heating, Brownian motion and thermo-pheresis. The effect of stagnation point motion is considered. The finite element approach is applied to obtain numerical solutions. The involvement of Boger fluid number (δ 1 ) and electric field number ( E 0 ) enhance velocity field and the thickness of the momentum boundary layer. The temperature field increases by enhancing the Eckert number, electric field and thermo-pheresis parameters. Wall shear stress increases by enhancing the Lorentz force, while wall shear stress decreases when the Boger number decreases.