Wall slip: Measurement and modeling issues

Polymer Processing Instabilities: Control and Understanding

Volumn , Issue , 2004, Pages 73-120

  Archer, Lynden A ^a  

^a Department of Obstetrics Gynecology   (United States)

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EID: 70349502528     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (111)

1. Goldstein, S. Modern Developments in Fluid Dynamics; Oxford University Press: London, 1938; Vol. 2, 676–680.
2. Silliman, W.J.; Scriven, L.E. Separating flow near a static contact line-slip at a wall and shape of a free surface. J. Comput. Phys. 1980, 34, 287-313.
3. Dussan, E.B. Spreading of liquids on solid surfaces—static and dynamic contact lines. Annu. Rev. Fluid Mech. 1979, 11, 371-400.
4. Schnell, E. Slippage of water over non-wettable surfaces. J. Appl. Phys. 1956, 27 1149-1152.
5. Churaev, N.V.; Soboloev, V.D.; Somov, A.N. Slippage of liquids over lyo- phobic solid surfaces. J. Colloid Interface Sci. 1984, 97, 574-581.
6. Richardson, S. On the no-slip boundary condition. J. Fluid Mech. 1973, 59, 707-719.
7. Zhu, Y.X.; Granick, S. Limits of the hydrodynamic no-slip boundary condition. Phys. Rev. Lett. 2002, 88, 106102-1-106102-4.
8. Zhu, Y.X.; Granick, S. Apparent slip of Newtonian fluids past adsorbed polymer layers. Macromolecules 2002, 35, 4658-4663.
9. Reiter, G.; Demirel, A.L.; Granick, S. From static to kinetic friction in confined films. Science 1994, 263, 1741-1744.
10. Benbow, J.J.; Lamb, P. New aspects of melt fracture. S.P.E. Trans. 1963, 3, 7-17.
11. Denn, M.M. Issues in viscoelastic fluid mechanics. Annu. Rev. Fluid Mech. 1990, 22, 13-34.
12. El Kissi, N.; Piau, J.M. The different capillary flow regimes of entangled polydimethyl siloxane polymer—macroscopic slip at the wall, hysteresis, and cork flow. J. Non-Newtonian Fluid Mech. 1990, 37, 55-94.
13. Wang, S.-Q. Molecular transitions and dynamics at polymer/wall interfaces: origins of flow instabilities and wall slip. Adv. Polym. Sci. 1999, 138, 227-275.
14. Joshi, Y.M.; Lele, A.K.; Mashelkar, R.A. Slipping fluids: a unified transient network model. J. Non-Newtonian Fluid Mech. 2000, 89, 303-335.
15. Denn, M.M. Extrusion instabilities and wall slip. Annu. Rev. Fluid Mech. 2001, 33,265-287.
16. Galt, J.; Maxwell, B. Velocity profiles for polyethylene melts. Mod. Plast. December; 1964, 42, 115-189.
17. Muller-Mohnssen, H.; Lobl, H.P.; Schauerte, W. Direct determination of apparent slip for a ducted flow of polyacrylamide solutions. J. Rheol. 1987, 31, 323-336.
18. Mhetar, V.R.; Archer, L.A. Slip in entangled polymer solutions. Macromolecules 1998, 31, 6639-6649.
19. Kraynik, A.M.; Schowalter, W.R. Slip at the wall and extrudate roughness with aqueous solution of polyvinyl alcohol and sodium borate. J. Rheol. 1981, 25, 95-114.
20. Schowalter, W.R. The behavior of complex fluids near solid boundaries. J. Non-Newtonian Fluid Mech. 1988, 29, 25-36.
21. Lim, F.J.; Schowalter, W.R. Wall slip of narrow molecular weight distribution polybutadienes. J. Rheol. 1989, 33, 1359-1382.
22. Migler, K.B.; Hervet, H.; Leger, L. Slip transition of a polymer melt under shear stress. Phys. Rev. Lett. 1993, 70, 287-290.
23. Migler, K.B.; Massey, G.; Hervet, H.; Leger, L. The slip transition at polymer- solid interface. J. Phys. Condens. Matter 1994, 6, A301-A304.
24. Leger, L.; Raphael, E.; Hervet, H. Surface-anchored polymer chains: Their role in adhesion and friction. Adv. Polym. Sci. 1999, 138, 185-225.
25. Mooney, M. Explicit formulas for slip and fluidity. J. Rheol. 1931, 2, 210-222.
26. Hatzikiriakos, S.G.; Dealy, J.M. Wall slip of molten high-density polyethylene.I Sliding plate rheometer studies. J. Rheol. 1996, 35, 497-523.
27. Henson, J.D.; Mackay, M.E. Effect of gap on the viscosity of monodisperse polystyrene melts: slip effects. J. Rheol. 1995, 34, 359-373.
28. Vinogradov, G.V.; Protasov, V.P.; Dreval, V.E. The rheological behavior of flexible-chain polymers in the region of high shear rates and stresses, the critical process of spurting, and supercritical conditions of their movement at T > Tg. Rheol. Acta 1984, 23, 46-61.
29. Piau, J.M.; El Kissi, N. Measurement and modeling of friction in polymer melts during macroscopic slip at the wall. J. Non-Newtonian Fluid Mech. 1994, 54, 121-142.
30. Ramamurthy, A.V. Wall slip in viscous fluids and influence of materials of construction. J. Rheol. 1986, 30, 337-357.
31. Kalika, D.S.; Denn, M.M. Wall slip and extrudate distortion in linear low density polyethylene. J. Rheol. 1987, 31, 815-834.
32. Person, T.J.; Denn, M.M. The effect of die materials and pressure-dependent slip on extrusion of linear low density polyethylene. J. Rheol. 1997, 41, 249-265.
33. Durilat, E.; Hervet, H.; Leger, L. Influence of grafting density on wall slip of polymer melt on a polymer brush. Europhys. Lett. 1997, 38, 383-388.
34. Mhetar, V.R.; Archer, L.A. Slip in entangled polymer melts. 2. Effect of surface treatment. Macromolecules 1998, 31, 8617-8622.
35. Dao, T.T.; Archer, L.A. Stick-slip dynamics of entangled polymer liquids. Langmuir 2002, 18, 2616-2624.
36. Black, W.B.; Graham, M.D. Wall-slip and polymer-melt flow instability. Phys. Rev. Lett. 1996, 77, 956-959.
37. Reimers, M.J.; Dealy, J.M. Sliding plate rheometer studies of concentrated polystyrene solutions: large amplitude oscillatory shear of a very high molecular weight polymer in diethyl phthalate. J. Rheol. 1996, 40, 167-186.
38. Dhori, P.K.; Giacomin, A.J.; Slattery, J.C. Common line motion. 2. Sliding plate rheometry. J. Non-Newtonian Fluid Mech. 1997, 71, 215-229.
39. Leger, L.; Hervet, H.; Charitat, T.; Koutsos, V. The stick-slip transition in highly entangled poly(styrene-butadiene) melts. Adv. Colloid Interface Sci. 2001, 94, 39-52.
40. Mhetar, V.R.; Archer, L.A. Slip in entangled polymer melts. 1. General features. Macromolecules 1998, 31, 8607-8616.
41. Mhetar, V.R.; Archer, L.A. Secondary flow of entangled polymer fluids in plane Couette shear. J. Rheol. 1996, 40, 549-572.
42. Koran, F. M. Eng Dissertation. Chemical Engineering; McGill University: Montreal, 1994.
43. Dao, T.T.; Archer, L.A. Relaxation dynamics of entangled polymer liquids near solid substrates. Langmuir 2001, 17, 4042-4049.
44. Islam, M.T.; Archer, L.A. Nonlinear rheology of highly entangled polymer solutions in start-up and steady shear flow. J. Polym. Sci. B Polym. Phys. 2001, 39, 2275-2289.
45. Larson, R.G.; Mead, D. Development of orientation and texture during shearing of liquid crystalline polymers. Liq. Cryst. 1992, 12, 751-768.
46. Macosko, C.W. Rheology Principles Measurements and Applications; Wiley- VCH: New York, 1994. Chapter 5.
47. Yoshimura, A.; Prud’homme, R.K. Wall slip corrections for Couette and parallel disk viscometers. J. Rheol. 1988, 32, 53-67.
48. Brunn, P.O.; Ryssel, E. Lamb’s slip hypothesis—revisited for torsional and cone-plate flow. Z. Angew. Math. Mech. 1999, 79, 485-491.
49. Dealy, J.M. Comments on slip of complex fluids in viscometry by P. Brunn, S. Muller, S.B. Schorer. Rheol. Acta 1998, 37, 195.
50. Henson, J.D.; Mackay, M.E. The effect of molar mass and temperature on the slip of polystyrene melts at low stress levels. J. Rheol. 1998, 42, 1505-1517.
51. Hay, G.; Mackay, M.E.; McGlashan, S.A.; Park, Y. Comparison of shear stress and wall slip measurement techniques on a liner low density polyethylene. J. Non-Newtonian Fluid Mech. 2000, 92, 187-201.
52. Sanchez-Reyes, J.; Archer, L.A. Interfacial slip violations in polymer solutions: Role of microscale surface roughness. Langmuir, ASAP, 2003, 19, 3304-3312.
53. Larson, R.G. Instabilities in viscoelastic flows. Rheol. Acta 1992, 31, 213-263.
54. Bagley, E.B. End corrections in the capillary flow of polyethylene. J. Appl. Phys. 1957, 28, 624-627.
55. Hatzikiriakos, S.G.; Dealy, J.M. Wall slip of molten high-density polyethylene. I Capillary rheometer studies. J. Rheol. 1992, 36, 703-741.
56. Hay, G.; Mackay, M.E.; Awati, K.M. Pressure and temperature effects in slit rheometry. J. Rheol. 1999, 43, 1099-1116.
57. Awati, K.M.; Park, Y.; Weisser, E.; Mackay, M.E. Wall slip and shear stresses of polymer melts at high shear rates without pressure and viscous heating effects. J. Non-Newtonian Fluid Mech. 2000, 89, 117-131.
58. Wang, S.-Q.; Drada, P.A. Superfluid like stick-slip transition in capillary flow of linear polyethylene melt: 1. General features. Macromolecules 1996, 29, 2627-2632.
59. Wang, S.-Q.; Drada, P.A. Stick-slip transition in capillary flow of polyethylene. Molecular weight dependence and low-temperature anomaly. Macromolecules 1996, 29, 4115-4119.
60. Ferguson, J.; Haward, R.N.; Wright, B. Flow properties ofpolyethylene whole polymers and fractions. J. Appl. Chem. USSR 1964, 14, 53-65.
61. Yang, X.; Ishida, H.; Wang, S.-Q. Wall slip and absence of interfacial flow instabilities in capillary flow of various polymer melts. J. Rheol. 1998, 42, 63-80.
62. Yang, X.; Halasa, A.; Ishida, H.; Wang, S.-Q. Experimental study of interfacial and constitutive phenomena in fast flow. 1. Interfacial instabilities of monodisperse polybutadiene. Rheol. Acta 1998, 37, 415-423.
63. Miehlich, R.; Gaub, H.E. Holographic pattern photo bleaching apparatus for the measurement of lateral transport processes at interfaces—design and performance. Rev. Sci. Instrum. 1993, 64, 2632-2638.
64. Ferry, J.D. Viscoelastic Properties of Polymers; John Wiley & Sons: New York, 1980. Chapter 17.
65. Aubouy, M.; Raphael, E. Structure of an irreversibly adsorbed polymer layer in a solution of mobile chains. Macromolecules 1994, 27, 5182-5186.
66. Joshi, Y.M.; Lele, A.K. Dynamics of end-tethered chains at high surface coverage. J. Rheol. 2002, 46, 427-453.
67. Chen, C.J.; Emrich, R.J. Investigation of the shock-tube boundary layer by a tracer method. Phys. Fluids 1963, 6, 1-9.
68. den Otter, J.L.; Wales, J.L.S.; Schijf, J. The velocity profiles of molten polymers during laminar flow. Rheol. Acta 1967, 6, 205-209.
69. Muller-Mohnssen, H.; Weiss, D.; Tippe, A. Concentration dependent changes of apparent slip in polymer solution flow. J. Rheol. 1990, 34, 223-244.
70. Archer, L.A.; Larson, R.G.; Chen, Y.L. Direct measurements of slip in sheared polymer solutions. J. Fluid Mech. 1995, 301, 133-151.
71. Archer, L.A.; Chen, Y.L.; Larson, R.G. Delayed slip after step strains of highly entangled polystyrene solutions. J. Rheol. 1995, 39, 519-525.
72. Wise, G.M.; Denn, M.M. Surface mobility and slip of polybutadiene melts in shear flow. J. Rheol. 2000, 44, 549-567.
73. Vinogradov, G.V.; Dreval, V.E.; Protasov, V.P. The static electrification of linear polymers extruded through ducts above the glass transition temperature. Proc. R. Soc. Lond. A 1987, 409, 249-270.
74. Lau, H.C.; Schowalter, W.R. A model for adhesive failure of viscoelastic fluids during flow. J. Rheol. 1986, 30, 193-206.
75. Anastasiadis, S.H.; Hatzikiriakos, S.G. The work of adhesion of polymer/wall interfaces and its association with the onset of wall slip. J. Rheol. 1998, 42, 795-812.
76. Hill, D.A.; Hasegawa, T.; Denn, M.M. On the apparent relation between adhesive failure and melt fracture. J. Rheol. 1990, 34, 891-918.
77. Hill, D.A. Wall slip in polymer melts: a pseudo-chemical model. J. Rheol. 1998, 42, 581-601.
78. Brochard, F.; de Gennes, P.G. Shear-dependent slippage at a polymer/solid interface. Langmuir 1992, 8, 3033-3037.
79. Brochard-Wyart, F.; Gay, C.; de Gennes, P.G. Slippage of polymer melts on grafted surfaces. Macromolecules 1996, 29, 377-382.
80. Ajdari, A.; Brochard-Wyart, F.; de Gennes, P.G.; Leibler, L.; Viovy, J.L.; Rubinstein, M. Slippage of an entangled polymer melt on a grafted surface. Physica A 1994, 204, 17-39.
81. Huseby, T.W. Hypothesis on a certain flow instability in polymer melts. Trans. Soc. Rheol. 1966,10, 181-190.
82. Vinogradov, G.V.; Ivanova, L.I. Wall slippage and elastic turbulence of polymers in the rubbery state. Rheol. Acta 1968, 7, 243-254.
83. McLeish, T.C.B. Stability of the interface between two dynamic phases in capillary flow of linear polymer melts. J. Polym. Sci. B Polym. Phys. 1987, 25, 2253-2264.
84. McLeish, T.C.B.; Ball, R.C. A molecular approach to the spurt effect in polymer melt flow. J. Polym. Sci. B Polym. Phys. 1986, 24, 1735-1745.
85. Kolakka, R.W.; Malkus, D.S.; Hansen, M.G.; Ierley, G.R.; Worthing, R.A. Spurt phenomena of the Johnsen-Segalman fluid and related models. J. Non- Newtonian Fluid. Mech. 1988, 29, 303-335.
86. Adewale, K.P.; Leonov, A.I. Modeling spurt and stress oscillations in flows of molten polymers. Rheol. Acta 1997, 36, 110-127.
87. Dhori, P.K.; Slattery, J.C. Common line motion. 1. Implications of entropy inequality. J. Non-Newtonian Fluid Mech. 1997, 71, 197-213.
88. Joshi, Y.M.; Lele, A.K.; Mashelkar, R.A. Molecular model of wall slip: role of convective constraint release. Macromolecules 2001, 34, 3412-3420.
89. Lee, L.T.; Guiselin, O.; Lapp, A.; Farnoux, B.; Penfold, J. Direct measurements of polymer depletion layers by neutron reflectivity. Phys. Rev. Lett. 1991, 67, 2838-2841.
90. Cohen, Y.; Metzner, A.B. Apparent slip-flow of polymer solutions. J. Rheol. 1985, 29, 67-102.
91. Rehage, H.; Hoffmann, H. Viscoelastic surfactant solutions—model systems for rheological research. Mol. Phys. 1991, 74, 933-973.
92. Spenley, N.A.; Cates, M.E.; McLeish, T.C.B. Nonlinear rheology of wormilk micelles. Phys. Rev. Lett. 1993, 71, 939-942.
93. Doi, M.; Edwards, S.F. The Theory of Polymer Dynamics; Oxford University Press: Oxford, 1984.
94. Ianniruberto, G.; Marrucci, G. On compatibility of the Cox-Merz rule with the model of Doi and Edwards. J. Non-Newtonian Fluid Mech. 1996, 65, 241-246.
95. Mead, D.W.; Larson, R.G.; Doi, M. A molecular theory for fast flows of entangled polymers. Macromolecules 1998, 31, 7895-7914.
96. Mhetar, V.R.; Archer, L.A. A new proposal for polymer dynamics in steady shearing flows. J. Polym. Sci. B Polym. Phys. 2000, 38, 222-233.
97. Milner, S.T.; McLeish, T.C.B.; Lichtman, A.E. Microscopic theory of convective constraint release. J. Rheol. 2000, 45, 539-563.
98. Islam, M.T.; Archer, L.A. Nonlinear rheology of highly entangled polymer solutions in start-up and steady shear flow. J. Polym. Sci. B Polym. Phys. 2001, 39, 2275-2289.
99. El Kissi, N.; Leger, L.; Piau, J.M.; Mezghani, A. Effect of surface properties on polymer melt slip and extrusion defects. 1994, 52, 249-261.
100. Wang, S.Q.; Drada, P.A. Stick-slip transition in capillary flow of linear polyethylene. 3. Surface conditions. Rheol. Acta 1997, 36, 128-134.
101. Blake, T.D. Slip between a liquid and a solid: DM Tolstoi’s (1952) theory reconsidered. Colloids Surf. 1990, 47, 135-145.
102. Hirshfelder, J.O.; Curtiss, C.F.; Bird, R.B. Molecular Theory of Gases and Liquids; John Wiley and Sons: New York, 1954.
103. Pearson, J.R.A.; Petrie, C.J.S. In Polymer Systems: Deformation and Flow; Wetton, R.E., Whorlow, R.W., Eds.; Macmillan: London, 1968.
104. Richardson, S. No-slip boundary condition. J. Fluid Mech. 1973, 59, 707-719.
105. Dhori, P.K.; Giacomin, A.J.; Slattery, J.C. Common line motion. 3. Implications in polymer extrusion. J. non-Newtonian Fluid. Mech. 1997, 71, 231-243.
106. Bueche, F. Viscosity, self-diffusion, and allied effects in solid polymers. J. Chem. Phys. 1952, 20, 1959-1964.
107. Legrand, F.; Piau, J.M.; Hervet, H. Wall slip of a polydimethyl siloxaneextruded through a slit die with rough steel surfaces: Micrometric measurement at the wall with fluorescent-labeled chains. J. Rheol. 1998, 42, 1389-1402.
108. Barone, J.R.; Wang, S.Q.; Farinha, J.P.S.; Winnik, M.A. Polyethylene melt adsorption and desorption during flow on high-energy surfaces: characterization of postextrusion die wall by laser scanning confocal fluorescence microscopy. Langmuir 2000, 16, 7038-7043.
109. Fetters, L.J.; Lohse, D.J.; Richter, D.; Witten, T.A.; Zirkel, A. Connection between polymer molecular weight, density, chain dimensions, and melt viscoelastic properties. Macromolecules 1994, 27, 4639-4647.
110. Leger, L.; Hervet, H.; Auroy, P.; Boucher, E.; Massey, G. The reptation model: Tests through diffusion measurements in linear polymer melts. In Rheology of Polymer Melt Processing; Piau, J.-M., Agassant J.-F., Eds; Elsevier: Amsterdam, 1996; 1-16.
111. Juliani; Archer, L.A. Linear and nonlinear rheology of bidisperse polymer blends. J. Rheol. 2001, 45, 691–708.