Flow of Micropolar Hybrid Nanofluid Via Permeable Stretching/Shrinking Sheet and Heat Transfer Optimization Through Response Surface Methodology

Abstract

Numerical research has been done on the mathematical modelling of micropolar Cu-Al₂O₃/water nanofluid flow driven by a deformable sheet in a stagnation area with suction effect. Using appropriate similarity transformations, the governing partial differential equations are reduced to nonlinear ordinary differential equations, which are then solved numerically using bvp4c function in MATLAB. The hybrid nanofluids are made up of aluminium and copper nanoparticles dispersed in a base fluid called water. Due to variations in numerous relevant parameters, the given problem yields multiple solutions for both shrinking and stretching sheets. Interaction between these input parameters (hybrid nanoparticle, micropolar and suction) and their influences on heat transfer are assessed by a statistical Response Surface Methodology (RSM) model developed by BoxBehnken design approach. The Nusselt number is anticipated to have a maximum value of 18.2903. The RSM results indicate that the highest heat transfer coefficient is achieved when the suction parameter is at its maximum value and the hybrid nanoparticle and micropolar parameters are at their minimum values.