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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)
DOI: https://doi.org/10.15372/PMTF20190104
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}
Linking options:
  • https://www.mathnet.ru/eng/pmtf478
  • https://www.mathnet.ru/eng/pmtf/v60/i1/p27
    • This publication is cited in the following 7 articles:
    1. A. V. Khokhlov, V. V. Gulin, “Families of Stress-Strain, Relaxation, and Creep Curves Generated by a Nonlinear Model for Thixotropic Viscoelastic-Plastic Media Accounting for Structure Evolution Part 1. The model, Its Basic Properties, Integral Curves, and Phase Portraits”, Mech Compos Mater, 60:1 (2024), 49  crossref
    2. B. V. Semisalov, “Exact Poiseuil-type solutions for flows of viscoelastic polymer fluid through a circular pipe”, J. Appl. Mech. Tech. Phys., 64:4 (2023), 675–685  mathnet  crossref  crossref  elib
    3. B. V. Semisalov, “On a scenario of transition to turbulence for polymer fluid flow in a circular pipe”, Math. Models Comput. Simul., 16:2 (2024), 197–207  mathnet  crossref  crossref
    4. A. V. Khokhlov, V. V. Gulin, “Analysis of the Properties of a Nonlinear Model for Shear Flow of Thixotropic Media Taking into Account the Mutual Influence of Structural Evolution and Deformation”, Phys Mesomech, 26:6 (2023), 621  crossref
    5. A.A. Laas, M.A. Makarova, A.S. Malygina, G.O. Rudakov, G.V. Pyshnograi, “Refining rheological model for description of linear and nonlinear viscoelasticity of polymer systems”, Comp. Contin. Mech., 14:1 (2021), 12  crossref
    6. O. I. Skul'skiy, “Some Aspects of Manufacturing the Prepregs for Long-Length Products from Composite Materials with a Thermoplastic Binder”, J Appl Mech Tech Phy, 61:7 (2020), 1194  crossref
    7. N. V. Burmasheva, E. Yu. Prosviryakov, “Konvektivnye sloistye techeniya vertikalno zavikhrennoi vyazkoi neszhimaemoi zhidkosti. Issledovanie temperaturnogo polya”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 224:3 (2020), 528–541  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
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