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Effect of Shear Flow on Polymer Blends

  • Nigel ClarkeEmail author
Chapter
Part of the Advances in Polymer Science book series (POLYMER, volume 183)

Abstract

An overview of the various theoretical approaches to understanding the effect of shear flow on polymer blends is presented. Two differing models have emerged; one proposes the addition of a shear-dependent term directly into the free energy, whereas the other considers how shear modifies the equation of motion for concentration fluctuations. As discussed in detail, despite these differences, the models share much in common, and some degree of convergence between the two approaches has recently emerged. Although the focus is on modelling, a brief review of the varied range of experimental observations, highlighting the challenges that face theoreticians, is also given.

Keywords

Shear Rate Lower Critical Solution Temperature Polymer Blend High Shear Rate Normal Stress Difference 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Mazich KA, Carr SH (1983) J Appl Phys 54:5511 CrossRefGoogle Scholar
  2. 2.
    Mani S, Malone MF, Winter HH, Halary JL, Monnerie L (1991) Macromolecules 24:5451 CrossRefGoogle Scholar
  3. 3.
    Larbi FBC, Malone MF, Winter HH, Halary JL, Leviet MH, Monnerie L (1988) Macromolecules 21:3532 CrossRefGoogle Scholar
  4. 4.
    Hindawi IA, Higgins JS, Weiss RA (1992) Polymer 33:2522 CrossRefGoogle Scholar
  5. 5.
    Fernandez ML, Higgins JS, Horst R, Wolf BA (1995) Polymer 36:149 CrossRefGoogle Scholar
  6. 6.
    Hong Z, Shaw MT, Weiss RA (2000) Polymer 41:5895 CrossRefGoogle Scholar
  7. 7.
    Katsaros JD, Malone MF, Winter HH (1986) Polym Bull 16:83 CrossRefGoogle Scholar
  8. 8.
    Katsaros JD, Malone MF, Winter HH (1989) Polym Eng Sci 29:1434 CrossRefGoogle Scholar
  9. 9.
    Mani S, Malone MF, Winter HH (1992) Macromolecules 25:5671 CrossRefGoogle Scholar
  10. 10.
    Madbouly SA, Ougizawa T, Inoue T (1999) Macromolecules 32:5631 CrossRefGoogle Scholar
  11. 11.
    Hong ZY, Shaw MT, Weiss RA (1998) Macromolecules 31:6211 CrossRefGoogle Scholar
  12. 12.
    Gerard H, Higgins JS, Clarke N (1999) Macromolecules 32:5411 CrossRefGoogle Scholar
  13. 13.
    Gerard H, Cabral JT, Higgins JS (2003) Philos Trans R Soc Lond Ser A-Math Phys Eng Sci 361:767 CrossRefGoogle Scholar
  14. 14.
    Gerard H, Higgins JS (1999) PCCP Phys Chem Chem Phys 1:3059 Google Scholar
  15. 15.
    Larson RG (1999) The Structure and Rheology of Complex Fluids. Oxford University Press, New York Google Scholar
  16. 16.
    de Gennes PG (1971) J Chem Phys 55:572 CrossRefGoogle Scholar
  17. 17.
    de Gennes PG (1980) Scaling Concepts in Polymer Physics. Ithaca, New York Google Scholar
  18. 18.
    Doi M, Edwards SF (1978) J Chem Soc Faraday Trans II 74:1789 CrossRefGoogle Scholar
  19. 19.
    Doi M, Edwards SF (1978) J Chem Soc Faraday Trans II 74:1802 CrossRefGoogle Scholar
  20. 20.
    Doi M, Edwards SF (1978) J Chem Soc Faraday Trans II 74:1818 CrossRefGoogle Scholar
  21. 21.
    Doi M, Edwards SF (1986) The Theory of Polymer Dynamics. Oxford University Press, Oxford Google Scholar
  22. 22.
    Horst R, Wolf BA (1992) Macromolecules 25:5291 CrossRefGoogle Scholar
  23. 23.
    Wolf BA (1984) Macromolecules 17:615 CrossRefGoogle Scholar
  24. 24.
    Graessley WW (1974) Adv Polym Sci 16:1 Google Scholar
  25. 25.
    Schuch H (1988) Rheol Acta 27:384 CrossRefGoogle Scholar
  26. 26.
    Horst R, Wolf BA (1991) Macromolecules 24:2236 CrossRefGoogle Scholar
  27. 27.
    Horst R, Wolf BA (1993) Macromolecules 26:5676 CrossRefGoogle Scholar
  28. 28.
    Horst R, Wolf BA (1994) Rheol Acta 33:99 CrossRefGoogle Scholar
  29. 29.
    Krause C, Wolf BA (1997) Macromolecules 30:885 CrossRefGoogle Scholar
  30. 30.
    Krause C, Horst R, Wolf BA (1997) Macromolecules 30:890 CrossRefGoogle Scholar
  31. 31.
    Wolf BA (1999) J Chem Phys 110:7542 CrossRefGoogle Scholar
  32. 32.
    Horst R, Wolf BA (1997) Polymer 38:4697 CrossRefGoogle Scholar
  33. 33.
    An L, Hinrichs A, Horst R, Krause C, Wolf BA (2000) Macromol Symp 149:75 CrossRefGoogle Scholar
  34. 34.
    Sun ZY, Yang JA, Jiang W, An LJ, Jiang ZH, Wu ZW (2002) Polymer 43:4047 CrossRefGoogle Scholar
  35. 35.
    Chopra D, Haynes C, Hatzikiriakos SG, Vlassopoulos D (1999) J Non-Newton Fluid Mech 82:367 CrossRefGoogle Scholar
  36. 36.
    Jou D, Casasvazquez J, Criadosancho M (1995) Physical Properties of Polymers, p 207 Google Scholar
  37. 37.
    Jou D, Casas-Vazquez J, Lebon G (1999) Rep Prog Phys 62:1035 CrossRefGoogle Scholar
  38. 38.
    Criado-Sancho M, Jou D, Casas-Vazquez J, del Castillo LF (2002) Phys Rev E 66:061803 CrossRefGoogle Scholar
  39. 39.
    Cahn JW, Hilliard JE (1958) J Chem Phys 28:258 CrossRefGoogle Scholar
  40. 40.
    Cook HE (1970) Acta Metall 18:297 CrossRefGoogle Scholar
  41. 41.
    de Gennes PG (1980) J Chem Phys 72:4756 CrossRefGoogle Scholar
  42. 42.
    Pincus P (1981) J Chem Phys 75:1996 CrossRefGoogle Scholar
  43. 43.
    Lai J, Fuller GG (1994) J Polymer Sci: Part B: Polymer Phys 32:2461 Google Scholar
  44. 44.
    Ohta T, Nozaki H, Doi M (1990) J Chem Phys 93:2664 CrossRefGoogle Scholar
  45. 45.
    Pistoor N, Binder K (1989) Colloid Polym Sci 266:132 CrossRefGoogle Scholar
  46. 46.
    Helfand E, Fredrickson GH (1989) Phys Rev Lett 62:2468 CrossRefPubMedGoogle Scholar
  47. 47.
    Onuki A (1990) J Phys Soc Jpn 59:3423 Google Scholar
  48. 48.
    Onuki A (1990) J Phys Soc Jpn 59:3427 Google Scholar
  49. 49.
    Milner ST (1991) Phys Rev Lett 66:1477 CrossRefPubMedGoogle Scholar
  50. 50.
    Doi M, Onuki A (1992) J Phys II 2:1631 CrossRefGoogle Scholar
  51. 51.
    Sun T, Balazs AC, Jasnow D (1999) Phys Rev E 59:603 CrossRefGoogle Scholar
  52. 52.
    Clarke N, McLeish TCB (1998) Phys Rev E 57:R3731 CrossRefGoogle Scholar
  53. 53.
    Brochard F (1988) M Nagasawa (ed) Elsevier Science, Amsterdam p 249 Google Scholar
  54. 54.
    Tanaka H (2000) J Physics-Condensed Matter 12:R207 Google Scholar
  55. 55.
    Onuki A, Taniguchi T (1997) J Chem Phys 106:5761 CrossRefGoogle Scholar
  56. 56.
    Clarke N, McLeish TCB, Pavawongsak S, Higgins JS (1997) Macromolecules 30:4459 CrossRefGoogle Scholar
  57. 57.
    Descloizeaux J (1988) Europhys Lett 5:437 Google Scholar
  58. 58.
    Tsenoglou C (1991) Macromolecules 24:1762 CrossRefGoogle Scholar
  59. 59.
    Mead DW (1996) J Rheol 40:633 CrossRefGoogle Scholar
  60. 60.
    Clarke N (1999) Faraday Discuss 112:249 CrossRefGoogle Scholar
  61. 61.
    Pavawongsak S, Higgins JS, Clarke N, McLeish TCB, Peiffer DG (2000) Polymer 41:757 CrossRefGoogle Scholar
  62. 62.
    Larson RG (1988) Constitutive Equations for Polymer Melts and Solutions. Butterworths, Boston Google Scholar
  63. 63.
    Larson RG (1984) J Rheol 28:545 CrossRefGoogle Scholar
  64. 64.
    Marucci G, Ianniruberto G (1997) In: Adams MJ, Mashelkar JR, Pearson JRA, Rennie AR (eds) Dynamics of complex fluids. Imperical College Press, The Royal Society, London Google Scholar
  65. 65.
    Larson RG, Mead DW, Doi M (1998) Macromolecules 31:7895 CrossRefGoogle Scholar
  66. 66.
    Wiltzius P, Bates FS, Heffner WR (1988) Phys Rev Lett 60:1538 CrossRefPubMedGoogle Scholar
  67. 67.
    Beaucage G, Sukumaran S, Clarson SJ, Kent MS, Schaefer DW (1996) Macromolecules 29:8349 CrossRefGoogle Scholar
  68. 68.
    Ferry JD (1988) Viscoelastic properties of polymers. Wiley, New York Google Scholar
  69. 69.
    Bates FS, Dierker SB, Wignall GD (1986) Macromolecules 19:1938 CrossRefGoogle Scholar
  70. 70.
    Clarke N, McLeish TCB (1999) Macromolecules 32:4447 CrossRefGoogle Scholar
  71. 71.
    Colby RH (1989) Polymer 30:1275 CrossRefGoogle Scholar
  72. 72.
    Zawada JA, Fuller GG, Colby RH, Fetters LJ, Roovers J (1994) Macromolecules 27:6851 CrossRefGoogle Scholar
  73. 73.
    Zawada JA, Fuller GG, Colby RH, Fetters LJ, Roovers J (1994) Macromolecules 27:6871 CrossRefGoogle Scholar
  74. 74.
    Kant R, Kumar SK, Colby RH (2003) Macromolecules 36:10087 CrossRefGoogle Scholar
  75. 75.
    Lodge TP, McLeish TCB (2000) Macromolecules 33:5278 CrossRefGoogle Scholar
  76. 76.
    Roovers J, Toporowski PM (1992) Macromolecules 25:1096 CrossRefGoogle Scholar
  77. 77.
    Chung GC, Kornfield JA, Smith SD (1994) Macromolecules 27:5729 CrossRefGoogle Scholar
  78. 78.
    Chung GC, Kornfield JA, Smith SD (1994) Macromolecules 27:964 CrossRefGoogle Scholar
  79. 79.
    Katana G, Fischer EW, Hack T, Abetz V, Kremer F (1995) Macromolecules 28:2714 CrossRefGoogle Scholar
  80. 80.
    Kumar SK, Colby RH, Anastasiadis SH, G Fytas (1996) J Chem Phys 105:3777 CrossRefGoogle Scholar
  81. 81.
    Fernandez ML, Higgins JS, Richardson SM (1996) J Mat Proc Tech 56:807 CrossRefGoogle Scholar
  82. 82.
    Ji H, Helfand E (1995) Macromolecules 28:3869 CrossRefGoogle Scholar
  83. 83.
    Miroshnychenko D, Clarke N (2002) Phys Rev E 66:041802 CrossRefGoogle Scholar
  84. 84.
    Saito S, Matsuzaka K, Hashimoto T (1999) Macromolecules 32:4879 CrossRefGoogle Scholar
  85. 85.
    Xu A, Gonnella G, Lamura A (2003) Phys Rev E 67:056105 CrossRefGoogle Scholar
  86. 86.
    Luo KF, Yang YL (2002) Macromol Theory Simul 11:429 CrossRefGoogle Scholar
  87. 87.
    Roths T, Friedrich C, Marth M, Honerkamp J (2002) Rheol Acta 41:211 CrossRefGoogle Scholar
  88. 88.
    Zhang ZL, Zhang HD, Yang YL (2001) J Chem Phys 115:7783 CrossRefGoogle Scholar
  89. 89.
    Berthier L (2001) Phys Rev E 63:051503 CrossRefGoogle Scholar
  90. 90.
    Lamura A, Gonnella G (2001) Physica A 294:295 CrossRefGoogle Scholar
  91. 91.
    Corberi F, Gonnella G, Lamura A (2000) Phys Rev E 62:8064 CrossRefGoogle Scholar
  92. 92.
    Zhang ZL, Zhang HD, Yang YL (2000) J Chem Phys 113:8348 CrossRefGoogle Scholar
  93. 93.
    Liu H, Chakrabarti A (2000) J Chem Phys 112:10582 CrossRefGoogle Scholar
  94. 94.
    Shou ZY, Chakrabarti A (2000) Phys Rev E 61:R2200 CrossRefGoogle Scholar
  95. 95.
    Wu YN, Skrdla H, Lookman T, Chen SY (1997) Physica A 239:428 CrossRefGoogle Scholar
  96. 96.
    Padilla P, Toxvaerd S (1997) J Chem Phys 106:2342 CrossRefGoogle Scholar
  97. 97.
    Onuki A, Yamamoto R, Taniguchi T (1997) J Phys II 7:295 CrossRefGoogle Scholar
  98. 98.
    Okuzono T (1997) Mod Phys Lett B 11:379 CrossRefGoogle Scholar
  99. 99.
    Jupp L, Kawakatsu T, Yuan XF (2003) J Chem Phys 119:6361 CrossRefGoogle Scholar

Authors and Affiliations

  1. 1.Department of ChemistryUniversity of DurhamDurhamUK

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