The purpose of this paper is to investigate oscillating lid driven cavity filled with power-law non-Newtonian nanofluid in presence of external magnetic field in a square enclosure via a numerical approach by employing CVFVM (control volume finite volume method). The SIMPLE algorithm is utilized to deal with pressure and velocity coupling and SIP solver was applied to deal with derived set of algebraic equations. The cavity is filled with water and CuO nanoparticles while the mixture illustrates shear thinning and thickening behavior. This analysis was conducted for a certain pertinent parameters such as Womersley number (Wo=25.06-79.28), Hartmann number (Ha=0-60), volume fraction of nanoparticles (φ=0-0.08), power-law index (n=0.8-1.4) and Reynolds number (Re=100-1000). Results indicate that increasing Wo number will lead to reduction of Nu number almost 75% and 60% by alternation of Wo from 25.06 to 79.28 at Ha=0 and Ha=60, respectively. Because, the momentum diffusion and penetration depth will reduce by enhancing Wo number. Augmentation of Ha number will also suppress the fluid flow and convection heat transfer and consequently will lead to Nu number decline. The effect of different parameters will diminish by increasing power-law index of non-Newtonian fluid and the effective parameters are more dominant in pseudoplastic fluid flow.
