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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 1, Pages 27–36
DOI: https://doi.org/10.15372/PMTF20190104
(Mi pmtf478)
 

This article is cited in 7 scientific papers (total in 7 papers)

Effect of different flows on the shear branding of a liquid with a non-monotonic flow curve

Yu. L. Kuznetsova, O. I. Skul'skiy

Institute of Continuous Media Mechanics, Ural Branch, Russian Academy of Sciences, Perm, 614013, Russia
Full-text PDF (292 kB) Citations (7)
Abstract: A Couette flow of liquid, described by a modified Vinogradov–Pokrovsky model with a non-monotonic flow curve is simulated. It is shown that the analytical solution of the stationary problem has an infinite set of solutions. The time-dependent problem is numerically simulated in the assumption that the components of the structural tensor take values corresponding to a current change in the velocity field. It is determined that the time it takes for the plate velocity to reach a given value significantly affects the velocity profile and the dependence of tangential stresses on an operating shear rate. It is shown that, as this time decreases, the shear banding of the flow is observed not only for shear rates corresponding to the downward branch of the flow curve, but also in the entire domain of its ambiguity.
Keywords: shear banding of the shear flow, modified Vinogradov–Pokrovsky model, non-monotonic flow curve, multiple solutions, determination time.
Received: 07.06.2018
Revised: 07.06.2018
Accepted: 30.07.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 1, Pages 22–30
DOI: https://doi.org/10.1134/S0021894419010048
Bibliographic databases:
Document Type: Article
UDC: 532.5.032
Language: Russian
Citation: Yu. L. Kuznetsova, O. I. Skul'skiy, “Effect of different flows on the shear branding of a liquid with a non-monotonic flow curve”, Prikl. Mekh. Tekh. Fiz., 60:1 (2019), 27–36; J. Appl. Mech. Tech. Phys., 60:1 (2019), 22–30
Citation in format AMSBIB
\Bibitem{KuzSku19}
\by Yu.~L.~Kuznetsova, O.~I.~Skul'skiy
\paper Effect of different flows on the shear branding of a liquid with a non-monotonic flow curve
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 1
\pages 27--36
\mathnet{http://mi.mathnet.ru/pmtf478}
\crossref{https://doi.org/10.15372/PMTF20190104}
\elib{https://elibrary.ru/item.asp?id=36976007}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 1
\pages 22--30
\crossref{https://doi.org/10.1134/S0021894419010048}
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  • https://www.mathnet.ru/eng/pmtf/v60/i1/p27
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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