Fractional analysis of unsteady radiative brinkman-type nanofluid flow comprised of CoFe.sub.2O.sub.3 nanoparticles across a vertical plate

An incompressible magneto hydrodynamic (MHD) nanofluid flow across a vertical sheet has been examined. The first-order chemical reaction, thermal radiation, Newtonian heating, slip conditions and heat generation/absorption effect has been also analyzed on the Brinkman-type nanofluid model. The nanofluid is prepared by the dispersion of CoFe.sub.2O.sub.3 (Cobalt ferrite) nanoparticles (NPs) in the water. The exceptional mechanical and chemical equilibrium stabilities of CoFe.sub.2O.sub.3-NPs at atmospheric temperatures, as well as their significant coercive power and magnetism, are the main reasons for their increased interest of researchers. CoFe.sub.2O.sub.3-NPs are used in magnetic cards, magnetic drug delivery, recording devices, biotechnology and medicine. Due to these remarkable uses of Brinkman-type nanofluid consist of CoFe.sub.2O.sub.3-NPs, we have modeled the fluid flow in terms of coupled PDEs. The system of PDEs is further generalized by employing the CPCFD (Constant proportional Caputo fractional derivative). The non-integer case Laplace transform is utilized to derive the exact solutions for the proposed model. To check the accuracy and validity, the results are estimated with the existing study. It can be noticed that the energy transference rate rises up to 13.92% by the addition of CoFe.sub.2O.sub.3-NPs, while the mass communication rate intensifies up to 17.102%.