NON-DARCY BIOCONVECTIVE FLOW OF THE REE-EYRING TERNARY-HYBRID NANOFLUID OVER A STRETCHING SHEET WITH VELOCITY AND THERMAL SLIPS: ENTROPY ANALYSIS

The present paper proposes the mathematical model for non-Newtonian fluid (Ree-Eyring model) towards a stretched sheet with the porous medium by considering the gyrotactic microorganisms and the inclined magnetic field. The composite of Al2O,Ag,and3 Ti O2 in water is called ternary-hybrid nanofluid (THNF), while the composite relation among Al2O,Ag 3 in water is known as hybrid nanofluid (HNF), and Al₂O₃ in water is the nanofluid (NF). The Buongiorno model is used in inflow modeling to investigate thermophoresis and Brownian motion. The appropriate transformations are implemented to transform governing partial differential equations into coupled nonlinear ordinary differential equations by similarity transformation. The mathematical model is converted to ordinary differential equations (ODEs) using suitable similarity transformation. The bvp4c function in MATLAB is used to solve boundary value problems (BVPs) for systems of ODEs. It is part of the MATLAB’s BVP solver suite. The effects of the physical parameters on the dimensionless variables and quantities of physical interest are analyzed with figures. It is demonstrated that ternary-hybrid nanofluids provide the highest heat transfer rate at the cost of skin friction and offer the lowest Bejan number and entropy generation rates. They also reduce mass and microorganism transfer rates. Furthermore, magnetic field, local inertia, Eckert number, and thermal slip reduce the Bejan number by promoting more efficient heat transfer.