MHD Mixed Convection of Non-Newtonian Bingham Nanofluid in a Wavy Enclosure with Temperature-Dependent Thermophysical Properties: A Sensitivity Analysis by Response Surface Methodology

The numerical investigation of magneto-hydrodynamic (MHD) mixed convection flow and entropy formation non-Newtonian Bingham fluid in a lid-driven wavy square cavity filled with nanofluid was investigated by the finite volume method (FVM). data-based temperature nanoparticle size-dependent correlations for Al2O3-water nanofluids are used here. physical model is two-dimensional thermally adiabatic horizontal boundaries, while right left vertical walls maintain TC TH, respectively. top wall has steady speed u=u0. Pertinent non-dimensional parameters such as Reynolds number (Re=10,100,200,400), Hartmann (Ha=0,10,20), (Bn=0,2,5,10,50,100,200), fraction (ϕ=0,0.02,0.04), Prandtl (Pr=6.2) have been simulated numerically. Richardson Ri calculated combining values Re fixed value Gr, which governing factor convective flow. Using Response Surface Methodology (RSM) method, correlation equations obtained using input average Nusselt (Nu¯), total generation (Es)t, Bejan (Beavg). interactive effects pertinent on heat transfer rate presented plotting response surfaces contours from RSM. sensitivity output to also tested. According findings, mean numbers (Nu¯) drop when Ha Bn increased grow ϕ augmented. It found that (Es)t reduced raising Ha, but rises augmentation Re. positive Nu¯, negative.