Abstract
A non-steady, non-isothermal flow while filling a channel is studied with account for dissipation of mechanical energy, dependency of viscosity on temperature, and existence of free surface. Simulation results are presented for fields of temperature, viscosity, dynamic and kinematic parameters of flow as a function of key dimensionless parameters.
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M.R. Kamal, A.I., Isayev, and S.-J. Liu, Injection Molding: Technology and Fundamentals, Carl Hancer Verlag, Munich, 2009.
R.V. Torner, Theoretical Principles of Polymer Processing: Mechanics of Processes, Khimia, Moscow, 1977.
Z. Tadmor and C.G. Gogos, Principles of Polymer Processing, John Wiley & Sons, N.Y. etc., 1979.
D.J. Coyle, J.W. Blake, and C.W. Macosco, The kinematics of fountain flow in mold filling, AIChE J., 1987, Vol. 33, No. 7, P. 1168–1177.
H. Mavridis, Finite element studies in injection mold filling, Ph.D. Thesis, McMaster Univ., Hamilton, Ont., Canada, 1988.
G.P. Shrager, A.N. Kozloborodov, and V.A. Yakutenok, Simulation of Hydrodynamic Processes in Polymer Material Processing, Tomsk Univer. Publisher, Tomsk, 1999.
E. Mitsoulis, Fountain flow revisited: the effect of various fluid mechanics parameters, AIChE J., 2010, Vol. 56, No. 5, P. 1147–1162.
A.M. Stolin, A.Ya. Malkin, and A.G. Merzhanov, Non-isothermal processes and methods of investigation in the chemistry and mechanics of polymers, Russian Chemical Reviews, 1979, Vol. 48, No. 8, P. 798–811.
A.V. Baranov, Non-isothermal flow of rheological complex media taking into account of chemical conversions, J. on Composite Mechanics and Design, 2010, Vol. 16, No.3, P. 384–399.
H. Hassan, N. Regnier, C. Pujos, and G. Defaye, Effect of viscous dissipation on the temperature of the polymer during injection molding filling, Polym. Engng. Sci., 2008, Vol. 48, No. 6, P. 1199–1206.
J. PrimoBenitez-Rangel, A. Dominguez-Gonzalez, G. Herrera-Ruiz, and M. Delgado-Rosas, Filling process in injection mold: a review, Polymer-Plastics Technology and Engng., 2007, Vol. 46, No. 7, P. 721–727.
A.M. Lipanov, M.Yu. Alies, and Yu.N. Konstantinov, Numerical simulation of creep flow for non-Newtonian fluids with free interface, Mat. Modelirovanie, 1993, Vol. 5, No. 7, P. 3–9.
T. Nguyen-Chung and G. Mennig, Non-isothermal transient flow and molecular orientation during injection mold filling, Rheol. Acta, 2001, Vol. 40, No. 1, P. 67–73.
R.E. Otmani, M. Zinet, M. Boutaous, and H. Benhadid, Numerical simulation and thermal analysis of the filling stage in injection molding process: role of the mold-polymer interface, J. Appl. Polym. Sci., 2011, Vol. 121, No. 3, P. 1579–1592.
W. Wang, X. Li, and H. Xianhong, Numerical simulation and experimental verification of the filling stage in injection molding, Polym. Engng. Sci., 2012, Vol. 52, No. 1, P. 42–51.
V.I. Yankov, V.I. Boyarchenko, V.P. Pervadchuk, I.O. Glot, and N.V. Shakirov, Processing of fiber-shaping polymers. Polymer rheology foundations and polymer flow in channels, Moscow-Izhevsk: Regular and Random Dynamics, 2008.
V.A. Yakutenok and E.I. Borzenko, Numerical simulation of viscous incompressible liquid with free interface using the SIMPLE method, Mat. Modelirovanie, 2007, Vol. 19, No. 3, P. 52–58.
I.M. Vasenin, A.P. Nefedov, and G.R. Shrager, Method for simulation of viscous fluid flow with free interface, Chislennye Metody Mekhaniki Sploshnoi Sredy, Novosibirsk: CC SB AS, 1985, Vol. 16, No. 6, P. 28–43.
S. Patamkar, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, 1980.
E.I. Borzenko and G.R. Shrager, Nonisothermal Viscous Fluid Flow during Filling a Plane Channel, Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i mekhanika, 2012, Vol. 18, No. 2, P. 80–87.
P.V. Roache, Fundamental of Computational Fluid Dynamics, Hermosa Publ., New Mexico, 1998.
S.A. Kaganov, About steady laminar flow of incompressible liquid in flat channel and round cylindrical tube with account for friction heat and dependency of viscosity on temperature, J. Appl. Mech Techn. Phys., 1962, No. 3, P. 96–99.
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Research was financially supported by the Ministry of Education and Science (Agreement No. 14.B.37.21.0419) and RFBR (Project No. 12-08-00313a).
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Borzenko, E.I., Shrager, G.R. Effect of viscous dissipation on temperature, viscosity, and flow parameters while filling a channel. Thermophys. Aeromech. 21, 211–221 (2014). https://doi.org/10.1134/S0869864314020073
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DOI: https://doi.org/10.1134/S0869864314020073