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Generalization of the poiseuille law based on the constitutive rheological relation for polymeric liquids

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Abstract

The method of perturbations of the small parameter determining the anisotropy of the properties of linear polymers is used to determine the velocity profile and rate for steady flow in a round tube. It is shown that for the four-parameter rheological model considered, the stress state of the Poiseuille flow along with the tangential shear stress is characterized by the first and second differences of normal stresses.

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References

  1. G. V. Pyshnograi, V. N. Pokrovskii, Yu. G. Yanovskii, et al., “Constitutive equation of nonlinear viscoelastic polymer media in a zero approximation of the parameters of molecular theory and an implication for shear and tension,”Dokl. Ross. Akad. Nauk,339, No. 5, 612–615 (1994).

    Google Scholar 

  2. G. V. Pyshnograio, “An initial approximation in the theory of microviscoelasticity of linear polymers and associated nonlinear effects,”Prikl. Mekh. Tekh. Fiz.,37, No. 1, 145–151 (1996).

    Google Scholar 

  3. Yu. A. Altukhov and G. V. Pyshnograi, “Microstructural approach in the theory of flow of linear polymers and associated nonlinear effects,”Vysokomol. Soed., Ser. A.,38, No. 7, 1185–1193 (1996).

    Google Scholar 

  4. L. I. Sedov,Mechanics of Continuous Media [in Russian], Vol. 1, Nauka, Moscow (1983).

    MATH  Google Scholar 

  5. V. B. Érenburg and V. N. Pokrovskii, “Nonuniform shear flows of linear polymers,”Inzh. Fiz. Zh.,41, No. 3, 449–456 (1981).

    Google Scholar 

  6. Chang Dei Han,Rheology in Polymer Processing [Russian translation], Khimiya, Moscow (1979).

    Google Scholar 

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 5, pp. 158–163, September–October, 1999.

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Golovicheva, I.É., Pyshnograi, G.V. & Popov, V.I. Generalization of the poiseuille law based on the constitutive rheological relation for polymeric liquids. J Appl Mech Tech Phys 40, 917–921 (1999). https://doi.org/10.1007/BF02468477

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  • DOI: https://doi.org/10.1007/BF02468477

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