Galerkin computational work on thermally enhancement process in complex rheological generalized theory due to 3D-partially ionized rotational flow

In this development, utilization of hybrid nanoparticles to investigate heat transfer enhancement in partially ionized liquid and generalized heat flux model. The phenomenon of momentum and thermal transport is discussed in a rotating frame and the features of hybrid nanoparticles have been monitored. The conservation laws are derived in Cartesian coordinates in a rotating frame for momentum and heat transfer laws. Current developing model is widely utilized dental products, automotive parts, electrical insulators, fuel cells, solar energy, optical chemical sensors, hair care products, engineering process, solar cells, green tires and electrical insulators etc. The concept of BL (boundary layer) is engaged to simplify the developing problem in terms of PD-equations. The derived PD-equations are changed into OD-equations by using transformations. Transformed problem is coupled nonlinear whereas the solution in terms of exactness does not exist. For the approximate solution, finite element procedure is chosen and the convergence has been shown through grid independent analysis. Several plots are developed to capture the contribution of several parameters to the solution. Velocity gradient (skin friction coefficient) declines with inclination in Hall currents, ion slip number but opposite trend was addressed against inclination of Lorentz force and power law index . It is recorded that for nonlinear problems a finite element scheme is a better tool.