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Advances in Condensed Matter Physics
Volume 2015, Article ID 172862, 17 pages
http://dx.doi.org/10.1155/2015/172862
Research Article

Self-Organization of Polymeric Fluids in Strong Stress Fields

Institute of Petrochemical Synthesis, Russian Academy of Sciences, 29 Leninskii Prospect, Moscow 119991, Russia

Received 15 April 2015; Revised 9 July 2015; Accepted 29 July 2015

Academic Editor: Golam M. Bhuiyan

Copyright © 2015 A. V. Semakov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. P. E. Rouse Jr., “A theory of the linear viscoelastic properties of dilute solutions of coiling polymers,” The Journal of Chemical Physics, vol. 21, no. 7, pp. 1272–1280, 1953. View at Publisher · View at Google Scholar · View at Scopus
  2. P. Flory, Statistical Mechanics of Chain Molecules, Interscience, New York, NY, USA, 1969.
  3. F. Bueche, “The viscoelastic properties of plastics,” The Journal of Chemical Physics, vol. 22, no. 4, pp. 603–609, 1954. View at Publisher · View at Google Scholar · View at Scopus
  4. J. D. Ferry, R. F. Landel, and M. L. Williams, “Extensions of the Rouse theory of viscoelastic properties to undiluted linear polymers,” Journal of Applied Physics, vol. 26, no. 4, pp. 359–362, 1955. View at Publisher · View at Google Scholar · View at Scopus
  5. J. D. Ferry, Viscoelastic Properties of Polymers, Wiley, New York, NY, USA, 3rd edition, 1980.
  6. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics, Clarendon Press, Oxford, UK, 1986.
  7. P.-G. de Gennes, Scaling Concepts in Polymer Physics, Cornell University Press, London, UK, 1979.
  8. T. McLeish, “Molecular polymeric matter, Weissenberg, Astbury, and the pleasure of being wrong,” Rheologica Acta, vol. 47, no. 5-6, pp. 479–489, 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. W. W. Greassley, Polymeric Liquids and Networks: Dynamics and Rheology, Garland Science, New York, NY, USA, 2008.
  10. M. H. Wagner, “The slip-link model: a constitutive equation for general biaxial extension of polymer melts,” Makromolekulare Chemie. Macromolecular Symposia, vol. 56, no. 1, pp. 13–24, 1992. View at Publisher · View at Google Scholar
  11. A. E. Likhtman, “Single-chain slip-link model of entangled polymers: simultaneous description of neutron spin-echo, rheology, and diffusion,” Macromolecules, vol. 38, no. 14, pp. 6128–6139, 2005. View at Publisher · View at Google Scholar · View at Scopus
  12. D. M. Nair and J. D. Schieber, “Linear viscoelastic predictions of a consistently unconstrained brownian slip-link model,” Macromolecules, vol. 39, no. 9, pp. 3386–3397, 2006. View at Publisher · View at Google Scholar · View at Scopus
  13. M. H. Wagner, V. H. Rolón-Garrido, J. K. Nielsen, H. K. Rasmussen, and O. Hassager, “A constitutive analysis of transient and steady-state elongational viscosities of bidisperse polystyrene blends,” Journal of Rheology, vol. 52, no. 1, pp. 67–86, 2008. View at Publisher · View at Google Scholar · View at Scopus
  14. V. H. Rolón-Garrido and M. H. Wagner, “The damping function in rheology,” Rheologica Acta, vol. 48, no. 3, pp. 245–284, 2009. View at Publisher · View at Google Scholar · View at Scopus
  15. M. H. Wagner and V. H. Rolón-Garrido, “The interchain pressure effect in shear rheology,” Rheologica Acta, vol. 49, no. 5, pp. 459–471, 2010. View at Publisher · View at Google Scholar · View at Scopus
  16. V. H. Rolón-Garrido, “The molecular stress function (MSF) model in rheology,” Rheologica Acta, vol. 53, no. 9, pp. 63–700, 2014. View at Publisher · View at Google Scholar · View at Scopus
  17. L. A. Archer, “Separability criteria for entangled polymer liquids,” Journal of Rheology, vol. 43, no. 6, pp. 1555–1571, 1999. View at Publisher · View at Google Scholar · View at Scopus
  18. H. Watanabe, Y. Matsumiya, S. Ishida et al., “Nonlinear rheology of multiarm star chains,” Macromolecules, vol. 38, no. 17, pp. 7404–7415, 2005. View at Publisher · View at Google Scholar · View at Scopus
  19. A. K. Tezel, J. P. Oberhauser, R. S. Graham, K. Jagannathan, T. C. B. McLeish, and L. G. Leal, “The nonlinear response of entangled star polymers to startup of shear flow,” Journal of Rheology, vol. 53, no. 5, pp. 1193–1214, 2009. View at Publisher · View at Google Scholar · View at Scopus
  20. J. Park, D. W. Mead, and M. M. Denn, “Stochastic simulation of entangled polymeric liquids in fast flows: microstructure modification,” Journal of Rheology, vol. 56, no. 5, pp. 1057–1081, 2012. View at Publisher · View at Google Scholar · View at Scopus
  21. M. A. Fontelos and J. Li, “On the evolution and rupture of filaments in Giesekus and FENE models,” Journal of Non-Newtonian Fluid Mechanics, vol. 118, no. 1, pp. 1–16, 2004. View at Publisher · View at Google Scholar · View at Scopus
  22. G. V. Vinogradov, A. Y. Malkin, Y. G. Yanovskii et al., “Viscoelastic properties and flow of narrow distribution polybutadiens and polyisoprenes,” Journal of Polymer Science Part A-2, vol. 10, pp. 1061–1084, 1972. View at Google Scholar
  23. G. V. Vinogradov, A. Y. Malkin, V. V. Vlosevitch et al., “Flow, high-elastic (recoverable) deformations and rupture of uncured high MW linear polymers in unaxial extension,” Journal of Polymer Science Part B: Polymer Physics, vol. 13, pp. 1721–1735, 1975. View at Google Scholar
  24. A. Y. Malkin, A. Arinstein, and V. G. Kulichikhin, “Polymer extension flows and instabilities,” Progress in Polymer Science, vol. 39, no. 5, pp. 959–978, 2014. View at Publisher · View at Google Scholar · View at Scopus
  25. G. Marrucci, “Dynamics of entanglements: a nonlinear model consistent with the Cox-Merz rule,” Journal of Non-Newtonian Fluid Mechanics, vol. 62, no. 2-3, pp. 279–289, 1996. View at Publisher · View at Google Scholar · View at Scopus
  26. H. H. Winter, “Three views of viscoelasticity for Cox-Merz materials,” Rheologica Acta, vol. 48, no. 3, pp. 241–243, 2009. View at Publisher · View at Google Scholar · View at Scopus
  27. A. Y. Malkin and C. J. S. Petrie, “Some conditions for rupture of polymer liquids in extension,” Journal of Rheology, vol. 41, no. 1, pp. 1–25, 1997. View at Publisher · View at Google Scholar · View at Scopus
  28. A. Y. Malkin, “Non-Newtonian viscosity in steady-state shear flows,” Journal of Non-Newtonian Fluid Mechanics, vol. 192, pp. 48–65, 2013. View at Publisher · View at Google Scholar · View at Scopus
  29. R. S. Graham, A. E. Likhman, T. C. B. McLeish, and S. T. Milner, “Microscopic theory of linear, entangled polymer chains under rapid deformation including chain stretch and convective constraint,” Journal of Rheology, vol. 47, pp. 1171–1200, 2003. View at Publisher · View at Google Scholar
  30. A. Y. Malkin, A. V. Semakov, and V. G. Kulichikhin, “Macroscopic modeling of a single entanglement at high deformation rates of polymer melts,” Applied Rheology, vol. 22, no. 3, Article ID 32575, 9 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  31. Sh.-Q. Wang, “The tip of iceberg in nonlinear polymer rheology: entangled liquids are ‘solids’,” Journal of Polymer Science Part B: Polymer Physics, vol. 46, no. 24, pp. 2660–2665, 2008. View at Publisher · View at Google Scholar · View at Scopus
  32. I. S. Aranson and L. Kramer, “The world of the complex Ginzburg-Landau equation,” Reviews of Modern Physics, vol. 74, no. 1, pp. 99–144, 2002. View at Publisher · View at Google Scholar · View at Scopus
  33. Y. Ishimori, “Multi-vortex solution of a two-dimensional nonlinear wave equation,” Progress of Theoretical Physics, vol. 72, pp. 33–37, 1982. View at Google Scholar
  34. T. T. Hoffmann, Discrete Differential Geometry, part 1, Birkhöuser, Basel, Switzerland, 2008.
  35. G. V. Kulichikhin, E. Plotnikova, A. Subbotin, and N. Platé, “Specific rheology—morphology relationships for some blends containing LCPs,” Rheologica Acta, vol. 40, no. 1, pp. 49–59, 2001. View at Publisher · View at Google Scholar · View at Scopus
  36. A. V. Semakov and V. G. Kulichikhin, “Self-assembly and elastic instability in polymer flows,” Polymer Science—Series A, vol. 51, no. 11-12, pp. 1313–1328, 2009. View at Publisher · View at Google Scholar · View at Scopus
  37. R. Pasquino, F. Snijkers, N. Grizzuti, and J. Vermant, “The effect of particle size and migration on the formation of flow-induced structures in viscoelastic suspensions,” Rheologica Acta, vol. 49, no. 10, pp. 993–1001, 2010. View at Publisher · View at Google Scholar · View at Scopus
  38. A. Montesi, A. A. Peña, and M. Pasquali, “Vorticity alignment and negative normal stresses in sheared attractive emulsions,” Physical Review Letters, vol. 92, no. 5, Article ID 058303, 2004. View at Google Scholar · View at Scopus
  39. I. Masalova, M. Taylor, E. Kharatiyan, and A. Y. Malkin, “Rheopexy in highly concentrated emulsions,” Journal of Rheology, vol. 49, no. 4, pp. 839–849, 2005. View at Publisher · View at Google Scholar · View at Scopus
  40. L. Schouveiler, P. Le Gal, and M.-P. Chauve, “Stability of a traveling roll system in a rotating disk flow,” Physics of Fluids, vol. 10, no. 11, pp. 2695–2697, 1998. View at Publisher · View at Google Scholar · View at Scopus