Entropy optimization of MHD non-Newtonian fluid in a wavy enclosure with double diffusive natural convection

Abstract

This study investigates the impact of an inclined magnetic field (MHD) on entropy generation in double diffusive natural convective flow in a wavy enclosure filled with a non-Newtonian Casson fluid. The Galerkin Finite Element Method (GFEM) is employed to numerically solve the standard formulation, utilizing quadratic polynomials for momentum interpolation and a linear interpolating function for model approximation. The discretized system is resolved using Newton’s approach and PARDISO's matrix factorization. Through simulations of varying ranges of Rayleigh numbers Casson parameter Hartmann numbers Lewis numbers and inclined angle gamma the study provides valuable insights into the behavior of double diffusive natural convection in the wavy enclosure. Isotherms, iso-concentration contours, and streamlines are analyzed to assess different input distributions, and the study presents graphical representations and tabular data on heat transfer, mass transfer rate, and entropy production.