The Darcy-Forechhiemer multilayer model of Casson nanofluid squeezed by Newtonian nanofluid under asymmetric slip conditions

Sandwiched model of non-Newtonian and Newtonian fluid flow in the presence of a magnetic field is analyzed in this paper. Porous medium is considered in all three regions, and the system is modeled by using the Darcy-Forchheimer model. Furthermore, the homogeneous and heterogeneous reactions are analyzed using quartic catalysis. An asymmetric slip condition (i.e., the slip effect is present in the right and the left wall) for velocity and temperature jump (i.e., jump condition is considered in the right wall, whereas temperature is assumed to be constant in the left wall) is examined in the boundaries of the channel. Additionally, the base fluids are considered to be immiscible which causes the fluids to form an interfacial layer between each other thereby resulting in the formation of three regions in the channel. The mathematical model is explained in the form of governing equations and is solved by the RKF method. The results are explained in the form of graphs, and the physical quantities of interest like skin friction and Nusselt number are interpreted in detail with the help of tabulated numerical values. It is observed from the analysis that in the single-layer model, the viscosity of the fluid decreases the fluid motion, but in the case of the multilayer model, the velocity is improved by the increasing viscosity ratio. Correspondingly, the presence of a magnetic field reduces the temperature.