Polymer melt processing: Foundations in fluid mechanics and heat transfer

Polymer Melt Processing: Foundations in Fluid Mechanics and Heat Transfer

Volumn 9780521899697, Issue , 2008, Pages 1-250

  Denn, Morton M ^a  

^a CITY COLLEGE OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CURRICULA; FLUID MECHANICS; HEAT TRANSFER; MECHANICS; POLYMER MELTS;

COMPLEX LIQUID; COUPLED TRANSPORT; GRADUATE COURSE; MELT PROCESSING; MELT STATE; POLYMER PROCESSING; PROPERTY DEVELOPMENT; TRANSPORT PROCESS;

TRANSPORT PROPERTIES;

EID: 84923972467     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511813177     Document Type: Book

References (190)

1. Grossberg, A. Yu., and A. R. Khokhlov, Giant Molecules, Academic Press, San Diego, 1997.
2. Graessley, W. W., Polymeric Liquids and Networks: Structure and Properties, Garland Science, New York, 2004.
3. Rubinstein, M., and R. H. Colby, Polymer Physics, Oxford University Press, New York, 2003.
4. Denn, M. M., Process Fluid Mechanics, Prentice Hall, Englewood Cliffs, NJ, 1980.
5. Aris, R., Vectors, Tensors, and the Basic Equations of Fluid Dynamics, Prentice Hall, Englewood Cliffs, NJ, 1962; reprinted by Dover Publications, Mineola, NY, 1990.
6. Bird, R. B., W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, 2nd ed., John Wiley, New York, 2006.
7. Denn, M. M., Process Modeling, Longman Scientific and John Wiley, New York, 1986, Ch. 5.
8. Joshi, Y. M., and M. M. Denn, J. Non-Newtonian Fluid Mech., 114, 185 (2003)
9. Tadmor, Z., and C. G. Gogos, Principles of Polymer Processing, 2nd ed., Wiley InterScience, New York, 2006.
10. Hay, G., M. E. Mackay, K. M. Awati, and Y. Park, J. Rheol., 43, 1099 (1999).
11. Denn, M. M., Polym. Eng. Sci., 21, 65 (1981).
12. Renardy, M., J. Non-Newtonian Fluid Mech., 114, 229 (2003).
13. Hay, G., M. E. Mackay, K. M. Awati, and Y. Park, J. Rheol., 43, 1099 (1999).
14. Laun, H. M., Rheolog. Acta, 42, 295 (2003).
15. Laun, H. M., Rheolog. Acta, 43, 509 (2004).
16. Pearson, J. R. A., Y. T. Shah, and E. S. A. Viera, Chem. Eng. Sci., 28, 2079 (1973).
17. Shah, Y. T., and J. R. A. Pearson, Chem. Eng. Sci., 29, 737, 1435 (1974).
18. Pearson, J. R. A., Mechanics of Polymer Processing, Elsevier Applied Science, London, 1985, pp. 589ff.
19. Sukanek, P. C., and R. L. Laurence, AIChE J., 20, 474 (1974).
20. Rauwendaal C. J., and J. F. Ingen Housz, Int. Polym. Proc., III, 123 (1988).
21. Skul’skiy, O. I., Y. V. Slanov, and N. V. Shakirov, J. Non-Newtonian Fluid Mech., 81, 17 (1999).
22. Batchelor, G. K., An Introduction to Fluid Dynamics, Cambridge University Press, London, 1967, pp. 217ff.
23. Sherman, F. S., Viscous Flow, McGraw-Hill, New York, 1990, pp. 229ff.
24. Middleman, S., Fundamentals of Polymer Processing, McGraw-Hill, New York, 1977, pp. 172ff.
25. Tadmor, Z., and C. G. Gogos, Principles of Polymer Processing, 2nd ed., Wiley InterScience, New York, 2007, pp. 64ff.
26. Denn, M. M., and G. Marrucci, J. Non-Newtonian Fluid Mech., 87, 175 (1999).
27. Lee, S. J., M. M. Denn, M. J. Crochet, and A. B. Metzner, J. Non-Newtonian Fluid Mech., 10, 3 (1982).
28. Macosko, C. W., Rheology: Principles, Measurements, and Applications, VCH, New York, 1994, Sec. 6.4.4.
29. Ziabicki, A., Fundamentals of Fibre Spinning, John Wiley, New York, 1976.
30. Denn, M. M., “Fibre Spinning,” in J. R. A. Pearson and S. M. Richardson, Eds., Computational Analysis of Polymer Processing, Applied Science, London, 1983, pp. 179
31. Vassilatos, G., E. R. Schmelzer, and M. M. Denn, Int. Polym. Proc., VII, 144 (1992).
32. Denn, M. M., Ind. Eng. Chem. Res., 35, 2842 (1996).
33. Miller, C., AIChE J., 50, 898 (2004).
34. Harvey, A. D., and A. K. Doufas, AIChE J., 53, 78 (2007).
35. Denn, M. M., Stability of Reaction and Transport Processes, Prentice Hall, Englewood Cliffs, NJ, 1975.
36. Finlayson, B. A., The Method of Weighted Residuals and Variational Principles, Academic Press, San Diego, CA, 1972.
37. Bathe, K.-J., Finite Element Procedures, 2nd ed., Prentice Hall, Upper Saddle River, NJ, 1995.
38. Reddy, J. N., An Introduction to the Finite Element Method, McGraw-Hill, New York, 1984.
39. Reddy, J. N., and D. K. Gartling, The Finite Element Method in Heat Transfer and Fluid Mechanics, CRC Press, Boca Raton, FL, 1994.
40. Zienkiewicz, O. C., The Finite Element Method, 3rd ed., McGraw-Hill, New York, 1977.
41. Debbaut, B., J. Non-Newtonian Fluid Mech., 98, 15 (2001).
42. Lee, S. J., M. M. Denn, M. J. Crochet, and A. B. Metzner, J. Non-Newtonian Fluid Mech., 10, 3 (2001).
43. Fisher, R. J., M. M. Denn, and R. I. Tanner, Ind. Eng. Chem. Fundam. 19, 195 (1980).
44. Freeman, B. D., M. M. Denn, R. Keunings, G. E. Molau, and J. Ramos, J. Polym. Eng., 6, 171 (1986).
45. Su, Y., G. G. Lipscomb, H. Balasubramanian, and D. R. Lloyd, AIChE J., 52, 2072 (2006).
46. Dealy, J. M., and R. G. Larson, Structure and Rheology of Molten Polymers, Hanser, New York, 2006.
47. Dealy, J. M., and K. F. Wissbrun, Melt Rheology and Its Role in Plastics Processing: Theory and Applications, Van Nostrand Reinhold, New York, 1990.
48. Gupta, R. K., Polymer and Composite Rheology, 2nd ed., Marcel Dekker, New York, 2000.
49. Larson, R. G., Constitutive Equations for Polymer Melts and Solutions, Butterworth, Boston, 1988.
50. Larson, R. G., The Structure and Rheology of Complex Fluids, Oxford, New York, 1999.
51. Morrison, F. A., Understanding Rheology, Oxford, New York, 2001.
52. Bach, A., H. K. Rasmussen, and O. Hasager, J. Rheol., 47, 429 (2003).
53. Sentmanat, M., B. N. Wang, and G. H. McKinley, J. Rheol., 49, 585 (2005).
54. McLeish, T. C. B., Adv. Phys., 51, 1379 (2002).
55. Verbeeten, W. M. H., Peters, G. W. M., and Baaijens, F. P. T., J. Rheol., 45, 823 (2001) [Erratum, 45, 1489 (2001)].
56. Inkson, N. J., and T. N. Philllips, J. Non-Newtonian Fluid Mech., 145, 92 (2007).
57. Keunings, R. “Simulation of Viscoelastic Fluid Flow,” in C. L. Tucker, III, Ed., Fundamentals of Computer Modeling for Polymer Processing, Hanser, Munich, 1989, pp. 403ff.
58. Baaijens, F. P. T., J. Non-Newtonian Fluid Mech., 79, 361 (1998).
59. Owens, R. G., and T. N. Phillips, Computational Rheology, Imperial College Press, London, 2002.
60. Keunings, R., “Finite Element Methods for Integral Viscoelastic Fluids,” in K. Walters, Ed., Annual Rheology Reviews, British Society of Rheology, London, 2002.
61. Agassant, J. F. et al., Int. Polym. Proc., XVII, 3 (2002).
62. Tanner, R. I., Engineering Rheology, 2nd ed., Oxford, New York, 2000, pp. 418ff.
63. Yousefi, A.-M., P. Collins, S. Chang, and R. W. DiRaddo, Polym. Eng. Sci., 47, 1 (2007).
64. Debbaut, B., O. Homerin, and N. Jivraj, Polym. Eng. Sci., 39, 1812 (1999).
65. Devereux, B. M., and M. M. Denn, Ind. Eng. Chem. Res., 33, 2384 (1994).
66. Doufas, A. K., and A. J. McHugh, J. Rheol., 45, 403 and 855 (2001).
67. Shrinkhande, P., W. H. Kohler, and A. J. McHugh, J. Appl. Polym. Sci., 100, 3240 (2006).
68. Kohler, W. H., and A. J. McHugh, J. Rheol., 51, 721 (2007).
69. Kannan, K., I. J. Rao, and K. R. Rajagopal, J. Rheol., 46, 977 (2002).
70. Shin, D. M., J. S. Lee, H. W. Jung, and J. C. Hyun, Rheol. Acta, 45, 575 (2006).
71. Petrie, C. J. S., “Film Blowing, Blow Moulding, and Thermoforming,” in J. R. A. Pearson and S. M. Richardson, Eds., Computational Analysis of Polymer Processing, Applied Science Publishers, London, 1983, pp. 217ff.
72. Cain, J. J., and M. M. Denn, Polym. Eng. Sci., 28, 1527 (1988).
73. Shin, D. M., J. S. Lee, H. W. Jung, and J. C. Hyun, J. Rheol., 51, 605 (2007).
74. Housiadis, K. D., G. Klidis, and J. Tsamopoulos, J. Non-Newtonian Fluid Mech., 141, 193
75. André, J.-M., Modelisation Thermomécanique et Structurale du Soufflage de Gaine de Poly-éthylènes, Thèese, Ecole Nationale Supérieure de Physique de Grenoble, 1999.
76. André, J.-M., Y. Demay, and J.-F. Agassant, C. R. Acad. Sci. Paris, 325, Ser. II, 621 (1997).
77. André, J.-M., J.-F. Agassant, Y. Demay, J.-M. Haudin, and B. Monasse, Int. J. Forming Proc., 1, 187 (1998).
78. Muslet, I. A., and M. R. Kamal, J. Rheol., 48, 525 (2004).
79. Henrichsen, L. K., and A. J. McHugh, Int. Polym. Proc., XXII, 179 (2007).
80. White, J. L., Appl. Polym. Symp., 20, 155 (1973).
81. Petrie, C. J. S., and M. M. Denn, AIChE J., 22, 209 (1976).
82. Boger, D. V., and K. Walters, Rheological Phenomena in Focus, Elsevier, Amsterdam, 1993.
83. Verbeeten, W. M. H., G. W. M. Peters, and F. P. T. Baaijens, J. Non-Newtonian Fluid Mech., 117, 73 (2004).
84. Mitsoulis, E., S. G. Hatzikiriakos, K. Christodoulou, and D. Vlassopoulos, Rheol. Acta, 37, 438 (1998).
85. Rajagopalan, D., Rheol. Acta, 39, 138 (2000).
86. Baaijens, F. P. T., S. H. A. Selen, H. P. W. Baaijens, G. W. M. Peters, and H. E. H. Meier, J. Non-Newtonian Fluid Mech., 68, 173 (1997).
87. Baaijens, F. P. T., and G. W. M. Peters, J. Non-Newtonian Fluid Mech., 68, 205 (1997).
88. Dooley, J., Viscoelastic Flow Effects in Multilayer Polymer Coextrusion, Ph.D. dissertation, Technical University of Eindhoven, the Netherlands, 2002.
89. Debbaut, B., T. Avalosse, J. Dooley, and K. Hughes, J. Non-Newtonian Fluid Mech., 69, 255 (1997).
90. Debbaut, B., and J. Dooley, J. Rheol., 43, 1525 (1999).
91. Bousfield, D.W., R. Keunings, G. Marrucci, and M. M. Denn, J. Non-Newtonian FluidMech., 21, 79 (1986).
92. Langouche, F., and B. Debbaut, Rheol. Acta, 38, 48 (1999).
93. Debbaut, B., J. Non-Newtonian Fluid Mech., 98, 15 (2001).
94. Lee, K., M. R. Mackley, T. C. B. McLeish, T. M. Nicholson, and O. G. Harlen, J. Rheol., 45, 1261 (2001).
95. Van Os, R. G. M., and T. N. Phillips, J. Non-Newtonian Fluid Mech., 129, 142 (2005).
96. Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, Oxford University Press, Oxford, 1961.
97. Lin, C. C., The Theory of Hydrodynamic Stability, Cambridge University Press, Cambridge, 1955; corrected printing, 1966.
98. Petrie, C. J. S., and M. M. Denn, AIChE J., 22, 209 (1976).
99. Larson, R. G., Rheol. Acta, 31, 213 (1992).
100. Hatzikiriakos, S.G., and K. Migler, Eds., Polymer Processing Instabilities: Control and Understanding, Marcel Dekker, New York, 2004.
101. Kase, S., and M. M. Denn, Proc. 1978 Joint Automatic Control Conf., Instrument Society of America, Pittsburgh, 1975, pp. II–71.
102. Denn, M. M., “Modeling for Process Control,” in C. T. Leondes, Ed., Control and Dynamic Systems, Vol. 15, Academic Press, New York, 1979, pp. 147ff.
103. Chang, J. C., M. M. Denn, and S. Kase, Ind. Eng. Chem. Fundam., 21, 13 (1982).
104. Kase, S., and M. Araki, J. Appl. Polym. Sci., 27, 4439 (1982).
105. Young, D. G., and M. M. Denn, Chem. Eng. Sci., 44, 1807 (1989).
106. Devereux, B. D., and M. M. Denn, Ind. Eng. Chem. Res., 33, 2384 (1994)
107. Devereux, B. D., Computer Simulation of the Melt Fiber Spinning Process, Ph.D. dissertation, University of California, Berkeley, 1994.
108. Kohler, W. H., and A. J. McHugh, Chem. Eng. Sci., 62, 2690 (2007).
109. Malkin, A. Ya., and C. J. S. Petrie, J. Rheol., 41, 1 (1997).
110. Ghijsels, A., C. H. C. Massardier, and R. M. Bradley, Int. Polym. Proc., 12, 147 (1997).
111. Joshi, Y. M., and M. M. Denn, “Failure and Recovery of Entangled Polymer Melts in Elongational Flow,” in D. M. Binding and K. Walters, Eds., Rheology Review 2004,” British Soc. Rheology, 2004, p. 1.
112. Cogswell, F. N., and D. R. Moore, Polym. Eng. Sci., 14, 573 (1974).
113. Joshi, Y., and M. M. Denn, J. Rheol., 47, 291 (2003).
114. Henrichsen, L. K., and A. J. McHugh, Int. Polym. Proc., XXII, 190 (2007)
115. Housiadas, K. D., G. Klidis, and J. Tsamopoulos, J. Non-Newtonian Fluid Mech., 141, 193 (2007)
116. Wilson, G. M., and B. Khomami, J. Rheol., 37, 315 (1993).
117. Ganpule, H. K., and B. Khomami, J. Non-Newtonian Fluid Mech., 81, 27 (1999).
118. Renardy, Y. Y., and M. Renardy, J. Non-Newtonian Fluid Mech., 81, 215 (1999).
119. Khomami, B, and K. C. Su, J. Non-Newtonian Fluid Mech., 91, 59 (2000).
120. Huang, C.-T., and B. Khomami, Rheol. Acta, 40, 467 (2001).
121. Shaqfeh, E. S. G., “Fully Elastic Instabilities in Viscometric Flows,” in J. L. Lumley, M. Van Dyke, and H. L. Reed, Eds., Ann. Rev. Fluid Mech., Vol. 28, Annual Reviews, Inc., Palo Alto, CA, 1996, pp. 129ff.
122. Baumert, B. M., and S. J. Muller, J. Non-Newtonian Fluid Mech., 83, 33 (1999).
123. Al-Mubaiyedh, U. A., R. Sureshkumar, and B. Khomami, J. Rheol., 44, 1121 (2000).
124. White, J. M., and S. J. Muller, Phys. Rev. Lett., 84, 5130 (2000).
125. McKinley, G. H., P. Pakdel, and A. Öztekin, J. Non-Newtonian Fluid Mech., 67, 19 (1996).
126. McKinley, G. H., “Extensional Rheology and Flow Instabilities in Elastic Polymer Solutions,” in M. J. Adams, R. A. Mashelkar, J. R. A. Pearson, and A. R. Rennie, Eds., Dynamics of Complex Fluids, Imperial College Press and the Royal Society, London, 1998, p. 6.
127. Padkel, P., and G. H. McKinley, Phys. Fluids, 10, 1058 (1998).
128. Grillet, A. M., E. S. G. Shaqfeh, and B. Khomami, J. Non-Newtonian Fluid Mech., 94, 15 (2000).
129. Öztekin, A., B. Alakus, and G. H. McKinley, J. Non-Newtonian Fluid Mech., 72, 1 (1997).
130. Burghelea, T., E. Segre, and V. Steinberg, Phys. Fluids, 19, 053104 (2007)
131. Denn, M. M., “Extrusion Instabilities and Wall Slip,” in J. L. Lumley et al., Eds. Annual Review of Fluid Mechanics, Vol. 33, Annual Reviews, Palo Alto, CA, 2001, p. 265.
132. Denn, M. M., “Issues in Viscoelastic Fluid Mechanics,” in J. L. Lumley et al., Eds. Annual Review of Fluid Mechanics, Vol. 22, Annual Reviews, Palo Alto, CA, 1990, p. 13.
133. Xu, F., M. M. Denn, and J. D. Schieber, J. Rheol., 51, 452 (2007).
134. Joshi, Y. M., and M. M. Denn, J. Non-Newtonian Fluid Mech., 114, 185 (2003).
135. Petrie, C. J. S., and M. M. Denn, AIChE J., 22, 209 (1976)
136. Schaul, J. S., M. J. Hannon, and K. F. Wissbrun, Trans. Soc. Rheol., 19, 351 (1975)
137. Shaw M. T., and L. Wang, Proc. XIIIth Congress on Rheology, Cambridge, UK, vol. 3, 2000, p. 170.
138. Migler, K. B., Y. Song, F. Qiao, and K. Flynn, J. Rheol., 46, 383 (2002).
139. Mizunuma, H., and H. Takagi, J. Rheol., 47, 737 (2003).
140. Rutgers, R., and M. Mackley, J. Rheol., 44, 1319 (2000).
141. Pol, H. V., Y. M. Joshi, P. S. Tapadia, A. K. Lele, and R. A. Mashelkar, Ind. Eng. Chem. Res., 46, 3048 (2007).
142. Muelenbroek, B., C. Strom, A. N. Morozov, and W. van Saarloos, J. Non-Newtonian Fluid Mech., 116, 235 (2004).
143. Morozov, A. N., and W. van Saarloos, Phys. Rev. Lett., 95, 024501 (2005).
144. Atalik, K., and R. Keunings, J. Non-Newtonian Fluid Mech., 102, 299 (2002).
145. Rosenberg, J., M. Denn, and R. Keunings, J. Non-Newtonian Fluid Mech., 37, 317 (1990).
146. Folgar, F. P., and C. L. Tucker, III, J. Reinforc. Plast. Compos., 3, 98 (1984).
147. Phan-Thien, N., X. J. Fan, R. I. Tanner, and R. Zheng, J. Non-Newtonian Fluid Mech., 103, 251 (2002).
148. Dou, H.-S., B. C. Cheong, N. Phan-Thien, K. S. Yeo., and R. Zheng, Rheol. Acta, 46, 427 (2007).
149. Jack, D. A., and D. E. Smith, Compos., Part A: Appl. Sci. Manuf., 38, 975 (2007).
150. Chaubal, C. V., and L. G. Leal, J. Rheol., 42, 177 (1998).
151. Feng, J., C. V. Chaubal, and L. G. Leal, J. Rheol., 42, 1095 (1998).
152. Rey, A. D., and M. M. Denn, Ann. Rev. Fluid Mech., 34, 233 (2002).
153. De Gennes, P. G., and J. Prost, The Physics of Liquid Crystals, 2nd ed., Oxford University Press, Oxford, 1993.
154. Kleman, M., and O. D. Lavrentovich, Soft Matter Physics, Springer, New York, 2001.
155. Chono, S., T. Tsuji, and M. M. Denn, J. Non-Newtonian Fluid Mech., 79, 515 (1998).
156. Klein, D. H., L. G. Leal, C. J. Garcia-Cervera, and H. D. Ceniceros, Phys. Fluids, 19, 023101 (2007).
157. Barnes, H. A., J. Non-Newtonian Fluid Mech., 81, 133 (1999).
158. Nguyen, Q. D., and D. V. Boger, Ann. Rev. Fluid Mech., 24, 47 (1992).
159. Møller, P. C. F., J. Mewis, and D. Bonn, Soft Matter, 2, 274 (2006).
160. Hanson, P. J., and M. C. Williams, Polym. Eng. Sci., 27, 586 (1987).
161. Hobbie, E. K., and D. J. Fry, J. Chem. Phys., 126, 124907 (2007)
162. Kim, K. J., and J. L. White, Polym. Eng. Sci., 39, 2189 (1999)
163. Loiseau, A., and J.-F. Tassin, Macromolecules, 39, 9185 (2006).
164. Lipscomb, G. G., and M. M. Denn, J. Non-Newtonian Fluid Mech., 14, 337 (1984).
165. Bercovier, M., and M. Engelman, J. Comput. Phys., 36, 313 (1980).
166. Papanastasiou, T. C., J. Rheol., 31, 385 (1987).
167. O’Donovan, E. J., and R. I. Tanner, J. Non-Newtonian Fluid Mech., 14, 75 1984
168. Frigaard, I. A., and C. Nouar, J. Non-Newtonian Fluid Mech., 127, 1 (2005).
169. Burgos, G. R., A. N. Alexandrov, and V. Entov, J. Rheol., 43, 463 (1999).
170. Beris, A. N., J. A. Tsamopoulos, R. C. Armstrong, and R. A. Brown, J. Fluid Mech., 158, 219 (1985).
171. Liu, B. T., S. J. Muller, and M. M. Denn, J. Non-Newtonian Fluid Mech., 102, 179 (2002).
172. Smyrnaios, D. N., and J. A. Tsamopoulos, J. Non-Newtonian Fluid Mech., 100, 165 (2001).
173. Florides, G. C., A. A. Alexandrou, and G. C. Georgiou, J. Non-Newtonian Fluid Mech., 143, 38 (2007).
174. Jay, P., A. Magnin, and J. M. Piau, J. Fluids Eng., 124, 700 (2002).
175. Mitsoulis, E., and R. R. Huilgol, J. Non-Newtonian Fluid Mech., 122, 45 (2004).
176. J. M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport, Cambridge University Press, Cambridge, 1989.
177. Ottino, J. M., P. DeRoussel, S. Hansen, and D. V. Khakhar, Adv. Chem. Eng., 25, 105 (1999).
178. Tucker, C. L., III, and P. Moldenaers, Ann. Rev. Fluid Mech., 34, 177 (2002).
179. Kruijt, P. G. M., O. S. Galaktionov, P. D. Anderson, G. W. M. Peters, and H. E. H. Meijer, AIChE J., 47, 1005 (2001)
180. Galaktionov, O. S., P. D. Anderson, G. W. M. Peters, and H. E. H. Meijer, Int. Polym. Proc., XVIII, 138 (2003).
181. Camesasca, M., M. Kaufman, and I. Manas-Zloczower, Macromol. Theory Simul., 15, 595 (2006).
182. Scardovelli, R., and S. Zaleski, Ann. Rev. Fluid Mech., 31, 567 (1999).
183. Kistler, S. F., and L. E. Scriven, “Coating Flows,” in J. R. A. Pearson and S. F. Richardson, Eds., Computational Analysis of Polymer Processing, Applied Science Publ., Barking, U. K., 1983, p. 243.
184. Sethian, J. A., and P. Smereka, Ann. Rev. Fluid Mech., 35, 347 (2003).
185. Pillaipakkam, S. B., and P. Singh, J. Comput. Phys., 174, 552 (2001).
186. Singh, J. P., and M. M. Denn, Phys. Fluids, 20, 040901 (2008).
187. Dou, H.-S., B. C. Cheong, N. Phan-Thien, K. S. Yeo, and R. Zheng, Rheol. Acta, 46, 427 (2007).
188. Cristini, V., S. Guido, A. Alfani, J. Blawzdziewicz, and M. Loewenberg, J. Rheol., 47, 1283 (2003).
189. Palierne, J. F., Rheol. Acta, 29, 204 (1990); Erratum, 30, 497 (1991).
190. Lee, H. S., and M. M. Denn, J. Rheol., 43, 1583 (1999).