Numerical solution of steady MHD duct flow in a square annulus duct under strong transverse magnetic field

Abstract

ABSTRACT This paper explains how the two-dimensional magnetohydrodynamics (MHD) flow through a duct with square annulus cross-section with electrically conducting walls is analysed using radial basis function-generated finite difference method. By applying the transverse magnetic field on the walls with some inclination, the solution is obtained in terms of velocity and magnetic field. The coupled equations are decoupled by using non-dimensional quantities and these equations are solved numerically. The simulations are done by changing the width of the annular region and the shape of the inner boundary. The solutions for induced magnetic field and velocity are obtained for different values of the Hartmann number and the angle of inclination of the applied magnetic field on the walls.