Numerical investigation of entropy generation of nano-fluid in vertical sinusoidal channel with magnetic field

In this study, generated entropy of mixed convection of Al2O3–water nano fluids in a vertical channel with sinusoidal walls under a constant and uniform magnetic field was numerically investigated. The effects of various parameters such as volume fraction of nanoparticles, amplitude of sine wave, Reynolds, Grashof and Hartman numbers were studied. This study was carried out by assuming the laminar, steady state and incompressible flow. Also, the thermo physical properties of nanoparticles were assumed constant. The Boussinesq approximation was used to calculate the variations of the density caused by buoyancy force and the finite volume method and two phase mixture model were used to simulate the flow. The results showed that the entropy generation due to heat transfer and viscous effects increase by adding nanoparticles to the base fluid. Also, the results showed that the entropy generation due to heat transfer increases by increasing the Grashof number and decreasing the Reynolds number, while a reverse trend is observed for entropy generation due to viscous effects. By increasing the Hartman number, the entropy generation due to heat transfer increases at first and then decreases and entropy generation due to viscous effects reduces. For all studied intensities of magnetic fields, the entropy generation decreases using corrugated channels.