Regression analysis on MHD Darcy-Forchheimer hybrid nanoliquid flow over an elongated permeable sheet in a porous medium with hydrodynamic slip constraint: a realistic two-phase modified Buongiorno model

Abstract

Injection and suction effects play a crucial role in astronomical disciplines, fuel injection, solar collector plate, thermal protection, and aerodynamics. Therefore, the dynamics of hydromagnetic Darcy-Forchheimer hybrid nanoliquid flow over an elongated permeable sheet in the presence of hydrodynamic slip and Newtonian boundary constraints is investigated. A realistic model considering the passive control of nanoparticles and the modified Buongiorno nanoliquid model has been utilised. The modelled partial differential equations are transmuted into a system of nonlinear ordinary differential equations with the aid of apposite similarity transformations which are then resolved numerically using the finite-difference based bvp5c routine. Regression analysis is employed to statistically scrutinise the relationship between the pertinent parameters and the drag coefficients. It is observed that the -directional velocity descends with the Forchheimer number and hydrodynamic slip parameter whereas the -directional velocity ascends with the stretching parameter. It is also noted that the Biot number and the volume fraction of copper nanoparticles have a constructive effect on the hybrid nanoliquid temperature. Furthermore, lower temperature and velocity profiles were exhibited by the suction case when compared with the injection case. An improved heat transfer rate is observed for higher values of Biot number and volume fraction of copper nanoparticles.