Numerical solution of magnetohydrodynamic flow through duct with perturbated boundary using RBF-FD method

Abstract

This paper explores the magnetic field and velocity profile within a square and rectangular duct that experiences a perturbation in the steady magnetohydrodynamic flow. The magnetic field applied forms an angle with the x-axis. To solve for the solutions, a radial basis function-based finite difference approach is employed, known as one of the most efficient numerical methods. The Hartmann number and the perturbation magnitude in the region with insulated walls are adjusted to compute the findings. Numerical solutions are obtained by varying the angles of the applied magnetic field. The results are computed by varying the width and magnitude of the perturbation on the wall. The computed results of the induced magnetic field and velocity are represented through contours.

KEYWORDS:

• Magnetohydrodynamic flow (MHD)
• radial basis function based finite difference method
• square duct
• velocity
• magnetic field
• perturbated boundary

Disclosure statement

No potential conflict of interest was reported by the author(s).