Finite element approximation of biharmonic mathematical model for MHD flow using Psi;-an approach

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


A generalized mathematical model describing the dynamics of magnetic field influence on a conducting liquid in a square cavity is presented. A method involving a biharmonic mathematical model with stream function Psi;, and the magnetic potential A was used. The Galerkin method was applied to solve a system of two variational identities. A numerical finite element algorithm based on the second order elements was developed. In the algorithm the Newton-Raphson method is used to solve the resulting nonlinear system. Numerical experiments with different Reynolds (Re, Rm) and Hartmann (H alpha;) numbers were presented in graphical form
Author S.K. Krzeminski
S.K. Krzeminski,,
, Michał Śmiałek (FoEE / ITEEMIS)
Michał Śmiałek,,
- The Institute of the Theory of Electrical Engineering, Measurement and Information Systems
, M. Włodarczyk - [Warsaw University of Technology (PW)]
M. Włodarczyk,,
- Politechnika Warszawska
Journal seriesIEEE Transactions on Magnetics, ISSN 0018-9464
Issue year2000
Publication size in sheets0.5
Keywords in Englishbiharmonic mathematical model, conducting liquid, finite element analysis, finite element approximation, Galerkin method, Hartmann numbers, magnetic potential, magnetohydrodynamics, MHD flow, Newton-Raphson method, nonlinear system, Reynolds numbers, second order elements, square cavity, stream function, variational identities, variational techniques, viscosity
ASJC Classification2208 Electrical and Electronic Engineering; 2504 Electronic, Optical and Magnetic Materials
Languageen angielski
Score (nominal)25
Score sourcejournalList
Publication indicators WoS Citations = 6; Scopus Citations = 2; Scopus SNIP (Source Normalised Impact per Paper): 2000 = 1.073; WoS Impact Factor: 2006 = 0.938 (2) - 2007=1.004 (5)
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