Numerical analysis of peristaltic MHD flows

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

Abstract

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,,
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- 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,,
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Journal seriesIEEE Transactions on Magnetics, ISSN 0018-9464
Issue year2000
Vol36
No4
Pages1319-1324
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
DOIDOI:10.1109/20.877682
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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