STABILIZED FEM SOLUTIONS OF MHD EQUATIONS AROUND A SOLID AND INSIDE A CONDUCTING MEDIUM

Abstract

In this study, the numerical solution of the magnetohydrodynamic(MHD) áow is considered in a circular pipe around a conducting solid and inan insulating or conducting medium. An external magnetic Öeld is appliedthrough axis of the pipe with an angle with through the x-axis. The mathematical model of the considered physical problem can be deÖned in termsof coupled MHD equations in the pipe domain and the Laplace equations onthe solid and external mediums. The coupled equations are transformed intodecoupled inhomogeneous convection-di§usion type equations in order to apply stabilization in the Önite element method solution procedure. Obtainedstabled solutions for the high values of the problem parameters display thewell-known characteristics of the MHD pipe áow.