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Two-dimensional simulations of the effect of the reservoir region on the pressure oscillations observed in the stick-slip instability regime

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Języki publikacji
EN
Abstrakty
EN
The time-dependent, two-dimensional compressible Newtonian flow over the reservoir-die region is solved assuming that slip occurs along the die wall following a nonmonotonic slip law. The combination of compressibility and nonlinear slip leads to self-sustained oscillations of the pressure drop and of the mass flow rate at constant piston speed, when the latter falls into the unstable negative slope regime of the flow curve. The effect of the reservoir volume on the amplitude, the frequency and the waveform of the pressure oscillations is studied and comparisons are made with experimental observations concerning the stick-slip polymer extrusion instability.
Rocznik
Strony
245--254
Opis fizyczny
Bibliogr. 17 poz., wykr.
Twórcy
autor
  • Department of Mathematics and Statistics University of Cyprus, P.O.BOX 20537, 1678 Nicosia, CYPRUS, georgios@ucy.ac.cy
Bibliografia
  • Achilleos E., Georgiou G. and Hatzikiriakos S.G. (2002): On numerical simulations of polymer extrusion instabilities. -Applied Rheology, vol.12, pp.88-104.
  • Adewale K.P. and Leonov A.I. (1997): Modelling spurt and stress oscillations in flows of molten polymers. - Rheol. Acta., vol.36, pp.110-127.
  • Denn M.M. (2001): Extrusion instabilities and wall slip. - Annu. Rev. Fluid Mech., vol.33, pp.265-287.
  • Den Doelder C.F.J., Koopmans R.J., Molenaar J. and Van de Ven A.A.F. (1998): Comparing the wall slip and the constitutive approach for modelling spurt instabilities in polymer melt flows. - J. Non-Newtonian Fluid Mech., vol.75, pp.25-41.
  • Durand V., Vergnes B., Agassant J.F., Benoit E. and Koopmans R.J. (1996): Experimental study and modeling of oscillating flow of high density polyethylenes. - J. Rheology, vol.40, pp.383-394.
  • Georgiou G.C. and Crochet M.J. (1994a): Compressible viscous flow in slits with slip at the wall. - J. Rheol., vol.38, pp.639-654.
  • Georgiou G.C. and Crochet M.J. (1994b): Time-dependent compressible extrudate-swell problem with slip at the wall. - J. Rheol., vol.38, pp.1745-1755.
  • Georgiou G. (2003): The time-dependent compressible Poiseuille and extrudate-swell flows of a Carreau fluid with slip at the wall. - J. Non-Newtonian Fluid Mech., vol.109, pp.93-114.
  • Georgiou G. (2004): Stick-slip instability. In: Polymer Processing Instabilities: Control and Understanding, S.G.
  • Hatzikiriakos and K. Migler (Eds.). - New York: Mercel Dekker.
  • Greenberg J.M. and Demay Y. (1994): A simple model of the melt fracture instability. - Eur. J. Appl. Maths., vol.5, pp.337-357.
  • Hatzikiriakos S.G. and Dealy J.M. (1992a): Wall slip of molten high density polyethylenes. II. Capillary rheometer studies. - J. Rheol., vol.36, pp.703-741.
  • Hatzikiriakos S.G. and Dealy J.M. (1992b): Role of slip and fracture in the oscillating flow of HDPE in a capillary. - J. Rheol., vol.36, pp.845-884.
  • Hatzikiriakos S.G. and Migler K. (2004): Polymer Processing Instabilities: Control and Understanding. - New York: Mercel Dekker.
  • Myerholtz R.W. (1967): Oscillating flow behavior of high-density polyethylene melts. - J. Appl. Polym. Sci., vol.11, pp.687-698.
  • Robert L., Vergnes B. and Demay Y. (2001): Complex transients in the capillary flow of linear polyethylene. - J. Rheol., vol.44, pp.1183-1187.
  • Sato K. and Toda A. (2001): Physical mechanism of stick-slip behavior in polymer melt extrusion: Temperature dependence of flow curve. - J. Phys. Soc. Japan, vol.70, pp.3268-3273.
  • Weill A. (1980): Capillary flow of linear polyethylene melt: Sudden increase of flow rate. - J. Non-Newtonian Fluid Mech., vol.7, pp.303-314.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0023-0014
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