Pressure-flow rate characteristics of steady-state isothermal flows of molten viscoelastic polymers in cylindrical channels of any cross-section geometry
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The steady-state isothermal flow of a molten polymer is considered in response to a constant pressure difference in a relatively long cylindrical channel with any cross section. Conditions are given for particular cases of viscoelastic media in narrow channels (planar slots) and cylindrical channels (tubes). The viscosity and the elastic properties of the molten polymers are used in a viscoelastic model. Formulas are derived for the flow in a circular tube and a planar slot, which agree well with theoretical and experimental data. The maximum possible loads on these elements of the shaping tool are determined not by the viscosity but instead by the elastic properties of the polymer liquids, i.e., the elastic shear modulus, and this must be considered in designing extrusion equipment.
KeywordsSimple Shear Volume Flow Rate Circular Tube Cylindrical Channel Elastic Shear Modulus
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- 1.R. V. Torner, Basic Processes in Working Polymers (Theory and Calculation Methods) [Russian translation], Khimiya, Moscow (1972).Google Scholar
- 2.A. S. Lodge, Elastic Liquids [Russian translation], Nauka, Moscow (1969).Google Scholar
- 3.B. V. Berdyshev, Principles of the Theory for Forming Hollow Components from Polymers, with Methods of Calculating the Shaping Components of Processing Equipment: PhD Thesis [in Russian], MGUIÉ, Moscow (1999).Google Scholar
- 4.B. V. Berdyshev, A. A. Borisov, and I. A. Gerasimchuk, “Thermodynamics and mechanics of deformation for cross-linked elastomers,” Khim. Neftegaz. Mashinostr., No. 6, 3–5 (2005).Google Scholar
- 5.A. A. Borisov, I. A. Gerasimchuk, M. S. Kuz’min, and A. N. Mikhailov, “Thermodynamics and mechanics of deformation in cross-linked elastomers,” in: Abstracts for Papers at the Internet Conference “ Creativity of Young Workers in Science and Education,” Part 2 [in Russian], MGUIÉ, Moscow (2003), pp. 20–24.Google Scholar
- 6.Yu. S. Lipatov (ed.), Thermophysical and Rheological Characteristics of Polymers: A Handbook [in Russian], Naukova Dumka, Kiev (1977).Google Scholar
- 7.A. K. Panov and A. R. Anasov, Hydrodynamics of the Flow of Anomalous-Viscosity Polymer Systems in Shaping Channels [in Russian], UGPTU, Ufa (1964).Google Scholar