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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 2, Pages 82–86 (Mi ivm8977)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Solving the problem of Bingham fluid flow in cylindrical pipeline

A. V. Lapin, A. D. Romanenko

Chair of Mathematical Statistics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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Abstract: We consider an elliptic variational inequality in a circular domain, which simulates viscoplastic Bingham flow in a pipe. This variational inequality is approximated by finite-difference scheme on a grid in polar coordinates. To solve the finite-dimensional problem we propose a generalized Uzawa-type iterative method. We prove the convergence of the iterative method.
Keywords: Bingham's flow, finite-difference approximation, iterative method.
Presented by the member of Editorial Board: R. Z. Dautov
Received: 25.09.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 2, Pages 67–70
DOI: https://doi.org/10.3103/S1066369X15020103
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: A. V. Lapin, A. D. Romanenko, “Solving the problem of Bingham fluid flow in cylindrical pipeline”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 2, 82–86; Russian Math. (Iz. VUZ), 59:2 (2015), 67–70
Citation in format AMSBIB
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\by A.~V.~Lapin, A.~D.~Romanenko
\paper Solving the problem of Bingham fluid flow in cylindrical pipeline
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 2
\pages 82--86
\mathnet{http://mi.mathnet.ru/ivm8977}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 2
\pages 67--70
\crossref{https://doi.org/10.3103/S1066369X15020103}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84921828802}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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