Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
TWO-DIMENSIONAL FIRST INTEGRAL OF VISCO'RESISTIVE MAGNETOHYDRODYNAMICS
Submission Author:
José Ignacio López , SP
Co-Authors:
José Ignacio López
Presenter: José Ignacio López
doi://10.26678/ABCM.COBEM2019.COB2019-0613
Abstract
The purpose of this article is to study some question related to the visco-resistive complex two-dimensional first integral equations of magnetohydrodynamics. In this work the authors found a way to write a first integral, for viscoresistive magnetohydrodynamics, which generalizes Bernoulli’s equation and which depends on a real-valued potentials. Upon inserting the streaming-function representation of the flow, the first integral amounts to the two second order complex equations for four real-valued fields, i.e., the velocity and magnetic potential and streaming function for the flow and flux function for the magnetic field. Most of the questions that we investigated are related to the transformations of differential magnetohydrodynamics operators from the real plane (R) to the complex plane (C). A new type of complete set of field equations appears: the first integral complex magnetohydrodynamics equations. We also calculated a special case of complex solution for these magnetohydrodynamics equations. In this family, with many members of coupling solutions the magnetic field appears with the same structure as the velocity field.
Keywords
MHD, Magnetohydrodynamics, COMPLEX NAVIER-STOKES EQUATIONS, VISCO-RESISTIVE FLOWS, FIRST INTEGRAL
