The influence of magnetic field on entropy generation in a wavy cavity equipped with internal heated plate using Darcy–Brinkman–Forchheimer model

In this study, entropy accumulation during thermal convection of a hybrid nanosuspension in an undulating cavity having an interior heated plate is investigated in relation to magnetic fields. The Darcy-Brinkman-Forchheimer approach is employed to simulate the liquid circulation and energy transport parameters, while the impact of the Lorentz force on the system's thermodynamic properties is analyzed. To better understand the characteristics of this complex phenomenon, best compromise combination of different interacted parameters is needed to be set on. The geometrical parameters are number of cavity waves (N), length (s) and inclination angle of heated plate (γ) and the inclination angle of Lorentz force (δ). These parameters are studied with different volume fractions of compound nanofluid (φ = 0 − 0.02), different Rayleigh numbers (103 − 106), Darcy number changes between (Da = 10−5 − 10−1) and various Hartmann numbers (Ha = 0 − 60). The mean Nusselt number rises with a growth of the Rayleigh number by about three times (≈300%), while the average skin friction parameter reduces with a growth of the number of wall waves approximately to the half (≈50%). Additionally, the average Bejan number reaches its maximum value when the parameter of number of waves equals to (N = 5). Taking into consideration an objective function of maximizing average Nu and minimizing skin frication coefficient (Cf), the best scenario is determined at (N = 3, s = 0.4, γ = π/3 and δ = π/2).