On Application of the Ostwald–de Waele Model to Description of Non-Newtonian Fluid Flow in the Nip of Counter-Rotating Rolls

  • V. M. Shapovalov

The accuracy of the Ostwald–de Waele model in solving the problem of roll flow has been assessed by comparing with the "reference" solution for an Ellis fluid. As a result of the analysis, it has been shown that the model based on a power-law equation leads to substantial distortions of the flow pattern.


mathematical modeling non-Newtonian fluid rolls Ostwald–de Waele model Ellis model pressure shear stress velocity 


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  1. 1.
    Z. P. Shul′man, Convective Heat and Mass Transfer of Rheologically Complicated Fluids [in Russian], Énergiya, Moscow (1975).Google Scholar
  2. 2.
    A. V. Samoilov, Thermal Calculations of Screw and Roll Machines [in Russian], Mashinostroenie, Moscow (1978).Google Scholar
  3. 3.
    G. Astarita and G. Marrucci, Principles of Non-Newtonian Fluid Mechanics [Russian translation], Mir, Moscow (1978).Google Scholar
  4. 4.
    J. M. McKelvey, Polymer Processing [Russian translation], Khimiya, Moscow (1965).Google Scholar
  5. 5.
    Yu. E. Lukach, D. D. Ryabinin, and B. N. Meltov, Roll Machines for Processing of Plastics and Rubber Compounds [in Russian], Mashinostroenie, Moscow (1967).Google Scholar
  6. 6.
    N. G. Bekin, Roll Machines for Processing of Rubber Mixes (Foundations of the Theory) [in Russian], Yaroslavskii Tekhnologich. Instititut, Yaroslavl′ (1969).Google Scholar
  7. 7.
    R. V. Torner, Theoretical Principles of Polymer Processing: Mechanics of Processes [in Russian], Khimiya, Moscow (1977).Google Scholar
  8. 8.
    D. D. Ryabinin and Yu. E. Lukach, Mixing Machines for Plastics and Rubber Mixes [in Russian], Mashinostroenie, Moscow (1972).Google Scholar
  9. 9.
    M. A. Sheryshev, Mathematical Description of the Processes of Processing of Plastics [in Russian], Ross. Khimico-Tekhnol. Univ. im. D. I. Mendeleeva, Moscow (2005).Google Scholar
  10. 10.
    A. S. Klinkov, V. I. Kochetov, M. V. Sokolov, P. S. Belyaev, and V. G. Odnodol′ko, Design and Calculation of Roll Machines for Polymer Materials [in Russian], Izd. Tambovsk. Gos. Tekhnich. Univ., Tambov (2005).Google Scholar
  11. 11.
    A. N. Andreev, Mathematical modeling of non-Newtonian fluid flow in the nip of rotating rolls and procedure for calculation of power parameters of sheeting dough, Nauchn. Zh. St.-Peterburgsk. Nats. Issled. Univ. Informats. Tekhnol., Mekh. Optiki (electronic version), Ser. Protsessy Apparaty Pishchev. Proizvodstv, Issue 2 (2011).Google Scholar
  12. 12.
    V. N. Krasovskii, A. M. Voskresenskii, and V. M. Kharchevnikov, Examples and Problems on the Technology of Polymer Processing [in Russian], Khimiya, Leningrad (1984).Google Scholar

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Authors and Affiliations

  1. 1.Volzhskiy Polytechnic InstituteBranch of the Volgograd State University of TechnologyVolzhskiyRussia

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