Finite element modeling of dual convection in a wavy cavity containing magnetohydrodynamics non-Newtonian Casson fluid

Abstract

This study focuses on the mathematical modeling of dual convection energy transfer in a wavy cavity. The non-Newtonian Casson fluid model is envisioned as being capable of describing characteristics of viscoelastic liquids. An inclined magnetic field that is governed by Lorentz force is also taken into consideration. The Galerikin discretization is used to solve the leading formulation numerically. Quadratic polynomials interpolate momentum, concentration, and temperature equations, while linear functions imitate pressure distribution. The discretized version of the domain is analyzed with regard to the rectangular and triangular elements. The Newton’s technique and PARDISO, factorization-based nonlinear solver, are utilized to resolve the nonlinearly discretized system. Patterns of streamlines, isoconcentration, and isothermal contours are depicted in order to examine the variation in the inflow distributions.