Finite element analysis on entropy generation in MHD Iron(III) Oxide-Water NanoFluid equipped in partially heated fillet cavity

Abstract

The present work contains numerical analysis on the magnetized ferric oxide–water nanofluid in a fillet square cavity. The magnetized ferrofluid flow around a rotating heated cylinder is manifested with entropy generation. The governing equations in conjunction with various non-dimensional physical parameters are simulated via Galerkin's Finite Element Method (GFEM). The discrete system of non-linear algebraic equations is treated by adopting the Newton method coupled with a direct solver PARDISO. A space involving the quadratic polynomials (P2) has been selected to compute the approximations for the velocity profile while the pressure and temperature profiles are approximated by linear (P1) finite element space of functions. The effects of the pertinent parameters have been examined for Hartmann number 0≤Ha≤100, angular velocity 0≤ω≤4 and volume fraction 0≤ϕ≤0.06. A grid independence and code validation studies are also performed. Computational outcomes are represented through streamlines, isotherms and line graphs of other quantities of interest. It is deducted that the fluid move over the cylinder as the cylinder rotates clockwise. Furthermore, increasing the volume fraction of ferro-particles and their angular velocity raises the Nuavg and lowers both viscous and thermal entropy.