Buoyancy driven flow and slippage constraints influences on Casson hybridity nanofluid of Yamada-Ota and Xue type via rotating cone

Analysis of the extended two-hybrid nanofluid models: The Casson fluid with the combination of the base fluid (Ethylene Glycol) and two different nanoparticles is described in detail by Yamada-Ota and Xue (CoFe2O4 and Mn-Zn Fe2O4). This fluid is considered to flow in a rotating cone system, where the tangential vector (x-axis), azimuthal vector (y-axis)and normal vector are all part of the coordinate system (z-axis). The flow and thermal properties of the Casson hybrid nanofluid are controlled by the slipping boundary conditions (velocity and temperature components), the porous media, and buoyancy. To create a collection of ordinary differential equations (ODEs) from the initial mathematical specification, similarity transformations are used. Then, using a specialized method, namely the Galerkin finite element method (GFEM), these ODEs are solved numerically. Finally, this research has produced the graphical results of the velocity in the tangential and azimuthal directions, as well as thermal dispersal. Additionally, under the effect of relevant regulating parameters, the values of the tangential and azimuthal skin friction coefficients, along with the dimensionless Nusselt number, are tabulated. The results showed that radiation raises the thermal field while the Darcy-Forchheimer parameter escalates the flow for the two-dimensional axes (x and y). The buoyancy ratio parameter also upsurges the frictional coefficient for both the x- and y-components. Additionally, the dimensionless Nusselt number is decreased by managing variables like radiation, porosity, and slipping boundary conditions (velocity and temperature).