Numerical modeling for steady-state nanofluid free convection involving radiation through a wavy cavity with Lorentz forces

Abstract In this research, steady-state magnetized nanofluid flow under radiative wavy cavity is demonstarted. The porosity term is modeled by employing the non-Darcy’s theory of porosity. The working nanofluid is based on water-Al2O3 type nano-powder with the concnetration of 4%. The numerical modeling is estimated via control volume finite element (CVFE) technique. The results against the distinct emerging constraints namely magnetic force, Rayleigh number, porosity factor, shape factors, and shape of nanoparticles values on flow streamlines, average Nusselt number ( N u avg ) and isotherms are sketched and reported indetail. The sequence of radition on nanoraticles is discussed by considering distinct nanoparticles forms. The results show that the fluid advection decays with the enhancing trend of the media porosity and the phenomenon of conduction dominates over the process of convection. The nanoparticle shape insignificantly influences the N u avg for incrementing trend of magnetic and buoyancy forces.