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 ( 1 e 3 ≤ Ra ≤ 1 e 5 ) , Casson parameter ( 0.1 ≤ β ≤ 10 ) , Hartmann numbers ( 0 ≤ Ha ≤ 40 ) , Lewis numbers ( 0.1 ≤ Le ≤ 5 ) , and inclined angle gamma ( 0 ≤ γ ≤ 60 o ) , 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.