Abstract

The three-dimensional magneto-dynamics of viscous fluids have a wide range of applications in engineering and industry, including turbine bodies, heat exchangers, drying technology, and flow on arrow wings. Therefore, the three-dimensional flow of water containing 29 nm cupric nanomaterials on a wedge-shaped surface is studied using the magnetic field, Joule heating, and frictional heating effects. The slip conditions for thermal and solutal fields are taken into account. The Li & Peterson model is considered for the thermal conductivity of the CuO-H2O nanoliquid, which is a function of the temperature and volume of the nanoparticles, while the experimental model of dynamic viscosity is considered. The Modified Buongiorno Model (MBM) is used, which consists of effective thermophysical properties of nanoliquids, and the mechanisms of chaotic movement and thermo-migration of nanoparticles. Nonlinear governing problem is solved by the finite element method (FEM). The heat transfer and mass transfer rates are optimized by applying the response surface methodology (RSM). The thermal boundary layer attempts to adhere to the surface of the wedge surface for a greater magnitude of the shear-strain rate factor. Furthermore, the reduced Nusselt number is greatest in the absence of a friction heating mechanism through the system compared to its presence. The optimum condition for higher heat and mass transfer takes place at Nb = 0.2131, Nt = 0.1 and δT = 0.1 having a maximum heat transfer rate of 2.4658 and a maximum mass transfer rate of 2.8233

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