Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
COMBINED ANALYTICAL AND NUMERICAL STUDY OF LAMINAR MAGNETOHYDRODYNAMICS IN A BACKWARD-FACING STEP CHANNEL
Submission Author:
Gustavo Assad , PB
Co-Authors:
Gustavo Assad, Joao Alves de Lima, Carlos Antonio Cabral Santos, Dhiego Veloso, Fábio Lima, Igor Silveira, Allan Giuseppe
Presenter: Gustavo Assad
doi://10.26678/ABCM.COBEM2023.COB2023-0468
Abstract
The aim of this study is to investigate the complex reciprocal action between a flow of electrically conductive fluid and an externally applied magnetic field in a backward-facing step channel. This problem is of great interest in a variety of engineering applications, such as in the design of magnetohydrodynamic (MHD) power generators and flow control devices. In this geometry, the flow encounters a sudden expansion, which leads to the formation of a recirculation zone behind the step. The presence of an external magnetic field can significantly affect the flow and alter this region. We present one formulation for the backward-facing step problem, governed by the equations of Navier-Stokes and the transport of magnetic field, originating in the classical electromagnetism equations. To solve this formulation with General Integral Transform Technic (GITT) we use two second order eigenvalue problems to the components of the magnetic field, horizontal (B1) and vertical (B2), and one forth order eigenvalue problem to solve the formulation associated to the velocity. With that we find hybrid solutions with better computational cost and recover the boundary conditions associated with the main problem. Results are compared with the extensive literature for benchmarking purposes.
Keywords
Magnetohydrodynamics (MHD), Navier-Stokes Equations, Integral Transforms (GITT), Backward Facing Step
