Analysis of spatial heat and mass transfer in the channels of a forming tool during polymer coextrusion
DOI:
https://doi.org/10.7242/1999-6691/2018.11.4.28Keywords:
coextrusion, rheology, cross-linked polyethylene multilayer coating, mathematical modeling, abnormally viscous liquidAbstract
At present, there is a growing demand for use of crosslinked polyethylene (PE) as an insulating material possessing high operating temperature. One way to obtain multi-layer insulation of cables from cross-linked PE is coextrusion of grafted PE with its further cross-linking in steam boilers. The shapes of conical-cylindrical configuration channels, found by the authors in the literature, are significantly different from the actual cable head. In this article, the formulation and numerical realization of the spatial problem of heat and mass transfer of nonlinear plastics in the channels of a coextrusion cable head of complicated geometry are present. It is important to study and analyze the flows of melts of materials with different properties, because a three-layer coating is created in the forming tool. Largely the flow process is determined by the nonlinear character of the dependence of the melt viscosity on temperature and on the strain rate tensor. For polymer isolation, the cross-linked PE was used. Determination of the rheological parameters of this polymer using a laboratory rheometer is very difficult due to the process of cross-linking. In the paper, three geometric models of a forming tool, each of which differs from the previous shape and length of the channels, are considered. The models were realized using the finite element method in ANSYS software package. Maximum and average temperature and pressure dependences are presented for each geometric channel. Analysis of the results has revealed that the geometric model closest to the actual cable head better describes the processes of heat and mass transfer compared to other models.
Downloads
References
Sunwoo K.B., Park S.J., Lee S.J., Ahn K.H., Lee S.J. Three-dimensional numerical simulation of nonisothermal coextrusion process with generalized Newtonian fluids. Korea-Australia rheology journal, 2000, vol. 12, no. 3/4, pp. 165-173.
Michaeli W. Extrusion dies for plastic and rubber. Designs and engineering computations. Munich: Carl Hanser Verlag, 2003. 362 p.
Gifford W.A. A three-dimensional analysis of coextrusion. Polymer Eng. Sci., 1997, vol. 37, no. 2, pp. 315‑320. DOI
Malkin A.Y. Non-Newtonian viscosity in steady–state shear flows. Journal of Non-Newtonian Fluid Mechanics, 2013, vol. 192, pp. 48-65. DOI
Kazakov A.V., Trufanova N.M. Chislennoye modelirovaniye protsessa techeniya polimera v kabel’noy golovke i analiz zavisimosti parametrov protsessa ot nekotorykh teplofizicheskikh svoystv materiala [Numerical simulation of the polymer flow process in the cable head and analysis of the dependence of the process parameters on some thermophysical properties of the material]. Vestnik PGTU. Mekhanika – Bulletin of Perm State Technical University. Mechanics, 2009, no. 1, pp. 130‑136.
Dooley J., Rudolph L. Viscous and elastic effects in polymer coextrusion. Journal of plastic film & sheeting, 2003, vol. 19, pp. 111-122. DOI
Lee B.L., White J.L. An experimental study of rheological properties of polymer melts in laminar shear flow and of interface deformation and its mechanisms in two-phase stratified flow. Transactions of the Society of Rheology, 1974, vol. 18, pp. 467‑492. DOI
Southern J.M., Ballman R.L. Additional observations on stratified bicomponent flow of polymer melts in a tube. Polymer Sci. Polymer physics edition, 1975, vol. 13, no. 4, pp. 863-869. DOI
Bachurina M.V., Kazakov A.V., Trufanova N.M. Numerical study of mechanisms of abnormally viscous liquid flows. meh. splos. sred – Computational Continuum Mechanics, 2012, vol. 8, no. 3, pp. 298-309. DOI
Mitsoulis E., Heng F.L. Numerical simulation of coextrusion from a circular die. Appl. Polymer Sci., 1987, vol. 34, pp. 1713-1725. DOI
Goncharov G.M., Gudanov I.S., Lomov A.A. About influence of parameters of the initial zone of cylindrical channels on quality of the aggregated profiles. Nauchno-texnicheskij vestnik Povolzhya – Scientific and technical Bulletin of the Volga region, 2011, no. 6, pp. 137-141.
Goncharov G.M., Lomov A.A., Gudanov I.S., Lavrent’yev Yu.B., Yurygin P.P. Chislennoye izucheniye protsessa razmeroobrazovaniya pri soekstruzii trubchatykh izdeliy iz rezinovykh smesey [Numerical study of the process of size formation during the coextrusion of tubular products from rubber compounds]. vuzov. Khimiya i khimicheskaya tekhnologiya – News of universities. Chemistry and chemical technology, 2013, vol. 56, no. 12, pp. 82-85.
Yurygin P.P., Gudanov I.S., Goncharov G.M., Lomov A.A. Mathematical modeling of coextrusion of lenghty annular products from rubber compounds. Nauchno-texnicheskij vestnik Povolzhya – Scientific and technical Bulletin of the Volga region, 2013, no. 2, pp. 267-271.
Gudanov I.S., Yurygin P.P., Goncharov G.M., Lomov A.A. Opredeleniye energosilovykh parametrov protsessa soekstruzii trubchatykh profiley iz rezinovykh smesey [Determination of energy-power parameters of the process of coextrusion of tubular profiles made of rubber compounds]. vuzov. Khimiya i khimicheskaya tekhnologiya – News of universities. Chemistry and chemical technology, 2012, vol. 55, no. 5, pp. 116-118.
Snigerev B.A., Tazyukov F.Kh. Double layer of polymer melts in channels of dies. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika – News of Saratov university. New series. Series: Mathematics. Mechanics. Computer science, 2014, vol. 14, no. 3, pp. 349-354.
Mavridis H., Hrymak A.N., Vlachopoulos J. Finite-element simulation of stratified multiphase flows. AIChE Journal, 1987, no. 33, pp. 410-422. DOI
Rauwendaal Ch. Polymer extrusion. Munich: Carl Hanser Verlag, 2001. 791 p.
Kozitsyna M.V., Trufanova N.M., Ryabkova N.A. Numerical and experimental determination of the rheological properties of polymers. Vestnik PNIPU. Mashinostroyeniye, materialovedeniye – Bulletin PNRPU. Mechanical engineering, materials science, 2017, vol. 19, no. 1, pp. 155-169. DOI
Smirnov E.M., Zaytsev D.K. Metod konechnykh ob”yemov v prilozhenii k zadacham gidrogazodinamiki i teploobmena v oblastyakh slozhnoy geometrii [Finite volume method as applied to hydro- and gas dynamics and heat transfer problems in complex geometry domains]. Nauchno-tekhnicheskiye vedomosti SPbGTU – Scientific and technical statements of the St. Petersburg State Polytechnic University, 2004, no. 2, pp. 70-81.
Zienkiewicz O.С. The finite element method in engineering science. London: McGraw-Hill, 1971. 535 p.
Downloads
Published
Issue
Section
License
Copyright (c) 2018 Computational Continuum Mechanics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.