Analysis of magnetohydrodynamic pressure in conducting fluids

S.K. Krzeminski , Michał Śmiałek , M. Włodarczyk

Abstract

The process of magnetic field influence on the movement of a viscous, conducting liquid was described by using a Maxwell-Navier-Stokes system of equations. By introducing vector potentials Psi;, zeta;, A and elements of dimensional analysis, a nonlinear Poisson equation was produced for a function describing pressure distribution in a flat channel. For a Poiseuille flow there was formulated a Neuman boundary condition in a generalised form as an integral identity. To solve the above problem, a finite element approximation method was used. Appropriate numerical experiments were conducted. The calculation results were presented as a family of constant pressure lines and as lines of pressure value on the channel boundaries. All the experiments were performed for different values of criterion numbers: Reynolds (Re), Reynolds magnetic (Rm ) and Hartman (Ha)
Author S.K. Krzeminski
S.K. Krzeminski,,
-
, Michał Śmiałek IETSIP
Michał Śmiałek,,
- The Institute of the Theory of Electrical Engineering, Measurement and Information Systems
, M. Włodarczyk
M. Włodarczyk,,
-
Journal seriesIEEE Transactions on Magnetics, ISSN 0018-9464
Issue year1998
Vol34
No5
Pages3138-3141
Publication size in sheets0.5
Keywords in Englishapproximation theory, boundary conditions, channel boundaries, channel flow, criterion numbers, finite element analysis, finite element approximation, finite element methods, flat channel, integral equations, Magnetic analysis, magnetic fields, Magnetic liquids, magnetohydrodynamic pressure, magnetohydrodynamics, Maxwell equations, Maxwell-Navier-Stokes equations, Navier-Stokes equations, Neuman boundary condition, nonlinear equations, nonlinear Poisson equation, Poiseuille flow, Poisson equations, pressure, Pressure distribution, vector potentials, viscosity, viscous conducting fluids
DOIDOI:10.1109/20.717735
Languageen angielski
Score (nominal)25
Publication indicators WoS Impact Factor [Impact Factor WoS]: 2006 = 0.938 (2) - 2007=1.004 (5)
Citation count*1 (2015-03-15)
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