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ENCIT 2016
16th Brazilian Congress of Thermal Sciences and Engineering
HYBRID ANALYSIS OF THE MUTUAL INTERACTION BETWEEN FLOW AND MAGNETIC FIELDS INSIDE A PARALLEL-PLATE CHANNEL
Submission Author:
Joao Alves de Lima , Universidade Federal da Paraíba - UFPB
Co-Authors:
Gustavo Assad, João Quaresma, Emanuel Macêdo, Fabio Pontes
Presenter: Joao Alves de Lima
doi://10.26678/ABCM.ENCIT2016.CIT2016-0068
Abstract
The purpose of the present work is to develop a hybrid analysis of the mutual interaction between flow and magnetic (external and induced) fields of an electric conductive fluid inside a parallel-plate channel. The objective will be achieved with the application of the so-called Generalized Integral Transform Technique (GITT) on the equations that govern the flow of the conductive fluid and the transport of the magnetic field within this flow field. The conductive fluid can enter the channel under any velocity profile and will have its natural development within the channel changed by the applied magnetic field (due to the Lorentz force). Electric currents are induced within the flow and they can be used to power generation, propulsion, levitation and other applications. Due to these electric currents, magnetic fields will also be induced and superposed to that one externally applied. This makes the flow and the magnetic fields strongly coupled. These phenomena add new challenges to the computational method adopted for solution, in view of the presence of new couplings, nonlinearities and boundary conditions for the magnetic field. The study of these interactions will be performed through the two-dimensional Navier-Stokes equations in the stream-function formulation, coupled with the transport equations of the magnetic fields. The choice of the simple geometry is driven by the easy of generation of benchmark results, in contrast to use of a physical model, more difficult to numerical treatment. Results for the main potentials are presented and compared to the literature for various values of the governing parameters. The proposed study placed here falls within the current scenario of use and development of new technologies to alternative sources of energy generation.
Keywords
MHD (Magnetohydrodynamics), Navier-Stokes Equations, Magnetic Fields, Integral Transforms
