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Literature cited
C. F. Curtiss and R, B. Bird, “A kinetic theory for polymer melts,” J. Chem. Phys.,74, 2016 (1981).
A. S. Lodge, J. D. Schieber, and R. B. Bird, “The Weissenberg effect at finite rod-rotation speeds,” J. Chem. Phys.,88, 4001 (1988).
P. G. de Gennes, “Reptation of a polymer chain in the presence of fixed obstacles,” J. Chem. Phys.,55, 572 (1971).
M. Doi and S. F. Edwards, “Dynamics of concentrated polymer systems,” J. Chem. Soc. Faraday Trans. II,74, 1789 (1978).
V. S. Volkov and G. V. Vinogradov, “Relaxational interactions and viscoelasticity of polymer melts. Pt. I. Model development,” J. Non-Newton. Fluid Mech.,18, 163 (1985).
V. S. Volkov and G. V. Vinogradov, “Relaxational interactions and viscoelasticity of polymer melts. Pt. II. Rheological properties in shear and elongational flows,” J. Non-Newton. Fluid Mech.,25, 261 (1987).
V. L. Grebnev and V. N. Pokrovskii, “Viscoelasticity of linear polymers: second-order effects,” Vysokomol. Soedin. Ser. B:29, 704 (1987).
V. N. Pokrovskii and Yu. K. Kokorin, “Theory of viscoelasticity of dilute mixtures of linear polymers,” Vysokomol. Soedin., Ser. B:26, 573 (1984).
V. N. Pokrovskii and G. V. Pyshnograi, “Nonlinear effects in the dynamics of concentrated polymer solutions and melts,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 88 (1990).
W. W. Graessley, “The entanglement concept in polymer rheology,” Adv. Polym. Sci.,16, 1 (1974).
V. N. Pokrovskii and N. P. Kruchinin, “Nonlinear effects in the flow of linear polymers,” Vysokomol. Doedin., Ser. B:22, 335 (1980).
Yu. A. Altukhov, A. N. Kekalov, V. N. Pokrovskii, et al., “Description of pulsating flow of polymer solutions that exhibit viscoelastic properties,” in: Structure of Hydrodynamic Flows (induced Flow, Thermal Convection) [Russian collection] (eds. E. M. Khabakhpasheva and V. S. Berdnikov), Institute of Thermophysics, Siberian Branch, USSR Academy of Sciences, Novosibirsk (1986), p. 5.
S. de Groot and P. Mazur, Nonequilibrium Thermodynamics, North-Holland, Amsterdam (1962).
A. I. Leonov, “Description of rheological behavior of viscoelastic media at large elastic deformations,” Preprint No. 34 [in Russian], Institute of Problems of Mechanics, USSR Academy of Sciences, Moscow (1973).
A. N. Prokunin, “On the description of viscoelastic flows of polymer fluids,” Rheol. Acta,28, 38 (1989).
J. G. Oldroyd, “On the formulation of rheological equations of state,” Proc. R. Soc. London, Ser. A:200, 523 (1950).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 71–77, January–February, 1991.
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Pokrovskii, V.N., Pyshnograi, G.V. Simple forms of determining equation of concentrated polymer solutions and melts as a consequence of molecular viscoelasticity theory. Fluid Dyn 26, 58–64 (1991). https://doi.org/10.1007/BF01050113
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DOI: https://doi.org/10.1007/BF01050113