Numerical analysis of peristaltic MHD flows

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


The paper presents a generalized mathematical model describing the dynamics of magnetic field influence on a peristaltic flow of a conducting liquid in a two dimensional channel. A method using the stream function ( Psi;), vorticity ( xi;) and magnetic potential (A) is used. The Galerkin method is applied to obtain a system of three variational identities. A numerical finite element algorithm based on the second order elements is developed. The algorithm uses the Newton-Raphson method to solve the resulting nonlinear system. A simulator based on the formulated algorithm is constructed using object-oriented technology
Author S.K. Krzeminski - [Warsaw University of Technology (PW)]
S.K. Krzeminski,,
- Politechnika Warszawska
, Michał Śmiałek (FoEE / ITEEMIS)
Michał Śmiałek,,
- The Institute of the Theory of Electrical Engineering, Measurement and Information Systems
, M. Włodarczyk - [Politechnika Warszawska]
M. Włodarczyk,,
Journal seriesIEEE Transactions on Magnetics, ISSN 0018-9464
Issue year2000
Publication size in sheets0.5
Keywords in Englishchannel flow, conducting liquid, finite element algorithm, finite element analysis, Galerkin method, generalized mathematical model, magnetic field influence, magnetic potential, magnetohydrodynamics, Newton-Raphson method, nonlinear system, object-oriented technology, peristaltic flow, peristaltic MHD flows, second order elements, stream function, two dimensional channel, variational identities, variational techniques, vortices, vorticity
ASJC Classification2208 Electrical and Electronic Engineering; 2504 Electronic, Optical and Magnetic Materials
Languageen angielski
Score (nominal)25
Score sourcejournalList
Publication indicators WoS Citations = 4; Scopus Citations = 5; Scopus SNIP (Source Normalised Impact per Paper): 2000 = 1.073; WoS Impact Factor: 2006 = 0.938 (2) - 2007=1.004 (5)
Citation count*8 (2020-09-22)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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