Instabilities in wormlike micelle systems: From shear-banding to elastic turbulence

European Physical Journal E

Volumn 35, Issue 9, 2012, Pages

  Fardin, M A ^a,b,c   Lerouge, S ^a,c  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b Massachusetts Institute of Technology Cambridge   (United States)

^c Academy of Bradylogists   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLAY SUSPENSIONS; COLLOIDAL GELS; COMPLEX FLUIDS; ELASTIC INSTABILITIES; EXPERIMENTAL EVIDENCE; FLOW BIREFRINGENCE; FLOW-INDUCED TRANSITION; HETEROGENEOUS FLOW; HIGH SHEAR RATE; INTERFACIAL INSTABILITY; LOCAL SHEAR RATES; RHEOMETRY; SHEAR-BANDING; SPATIO-TEMPORAL FLUCTUATIONS; STAR POLYMERS; TELECHELIC POLYMERS; VELOCITY GRADIENTS; WALL SLIP; WORM-LIKE MICELLES; WORMLIKE MICELLAR SOLUTIONS;

MICELLES; POLYMERS; SHEAR DEFORMATION; SUSPENSIONS (FLUIDS);

SHEAR FLOW;

EID: 84868556896     PISSN: 12928941     EISSN: 1292895X     Source Type: Journal    
DOI: 10.1140/epje/i2012-12091-0     Document Type: Article

References (204)

1. S. Manneville, A. Colin, G. Waton, F. Schosseler, Phys. Rev. E 75, 061502 (2007).
2. J. Sprakel, E. Spruijt, M.A. Cohen Stuart, N.A.M. Besseling, M.P. Lettinga, J. van der Gucht, Soft Matter 4, 1696 (2008).
3. P. Coussot, J.S. Raynaud, F. Bertrand, P. Moucheront, J.P. Guilbaud, H.T. Huynh, S. Jarny, D. Lesueur, Phys. Rev. Lett. 88, 218301 (2002).
4. L. B́ecu, S. Manneville, A. Colin, Phys. Rev. Lett. 96, 138302 (2006).
5. T. Divoux, D. Tamarii, C. Barentin, S. Manneville, Phys. Rev. Lett. 104, 208301 (2010).
6. W. Losert, L. Bocquet, T.C. Lubensky, J.P. Gollub, Phys. Rev. Lett. 85, 1428 (2000).
7. C. Gilbreth, S. Sullivan, M. Dennin, Phys. Rev. E 74, 051406 (2006).
8. P.D. Olmsted, Rheol. Acta 47, 283 (2008).
9. M. Doi, S.F. Edwards, The Theory of Polymer Dynamics (Clarendon, 1989).
10. T.C.B. McLeish, R.C. Ball, J. Polym. Sci. Part B: Polym. Phys. 24, 1735 (1986).
11. T.C.B. McLeish, J. Polym. Sci. Part B: Polym. Phys. 25, 2253 (1987).
12. J. Berret, Rheology of wormlike micelles: Equilibrium properties and shear banding transitions, in Molecular Gels, edited by R.G. Weiss, P. Terech (Springer, The Netherlands, 2006) pp. 667-720.
13. J.B. Salmon, A. Colin, S. Manneville, F. Molino, Phys. Rev. Lett. 90, 228303 (2003).
14. G. Marrucci, J. Non-Newtonian Fluid Mech. 62, 279 (1996).
15. S.T. Milner, T.C.B. McLeish, A.E. Likhtman, J. Rheol. 45, 539 (2001).
16. A.E. Likhtman, R.S. Graham, J. Non-Newtonian Fluid Mech. 114, 1 (2003).
17. J.M. Adams, P.D. Olmsted, Phys. Rev. Lett. 102, 067801 (2009).
18. S.Q. Wang, Phys. Rev. Lett. 103, 219801 (2009).
19. J.M. Adams, P.D. Olmsted, Phys. Rev. Lett. 103, 219801 (2009).
20. M.E. Cates, W.C.K. Poon, P. Bartlett, Philos. Trans. R. Soc. A, Math. Phys. Engin. Sci. 367, 4989 (2009).
21. P. Coussot, G. Ovarlez, Europhys. J. E 33, 183 (2010).
22. K. Martens, L. Bocquet, J.-L. Barrat, Soft Matter 8, 4197 (2012).
23. T. Divoux, C. Barentin, S. Manneville, Soft Matter 7, 8409 (2011).
24. T. Divoux, C. Barentin, S. Manneville, Soft Matter 7, 9335 (2011).
25. T. Divoux, D. Tamarii, C. Barentin, S. Teitel, S. Manneville, Soft Matter 8, 4151 (2012).
26. G. Ovarlez, K. Krishan, S. Cohen-Addad, EPL 91, 68005 (2010).
27. T. Gibaud, C. Barentin, S. Manneville, Phys. Rev. Lett. 101, 258302 (2008).
28. T. Gibaud, C. Barentin, N. Taberlet, S. Manneville, Soft Matter 5, 3026 (2009).
29. R.L. Moorcroft, M.E. Cates, S.M. Fielding, Phys. Rev. Lett. 106, 055502 (2011).
30. M.E. Cates, S.M. Fielding, Adv. Phys. 55, 799 (2006).
31. S. Lerouge, J.-F. Berret, Shear-induced transitions and instabilities in surfactant wormlike micelles in Polymer Characterization, Vol. 230 of Advances in Polymer Science, edited by K. Dusek, J.-F. Joanny (Springer, Berlin/Heidelberg, 2010) pp. 1-71.
32. S.J. Candau, E. Hirsch, R. Zana, J. Colloid Interface Sci. 105, 521 (1985).
33. S.J. Candau, E. Hirsch, R. Zana, J. Phys. 45, 1263 (1984).
34. S.J. Candau, E. Hirsch, R. Zana, M. Adam, J. Colloid Interface Sci. 122, 430 (1988).
35. M.E. Cates, J. Phys. Chem. 94, 371 (1990).
36. M.E. Cates, J. Phys. 49, 1593 (1988).
37. M.E. Cates, S.J. Candau, J. Phys.: Condens. Matter 2, 6869 (1990).
38. H. Rehage, H. Hoffmann, Mol. Phys. 74, 933 (1991).
39. M.R. Lopez-Gonzalez, W.M. Holmes, P.T. Callaghan, P.J. Photinos, Phys. Rev. Lett. 93, 268302 (2004).
40. L. B́ecu, D. Anache, S. Manneville, A. Colin, Phys. Rev. E 76, 011503 (2007).
41. J.-F. Berret, D.C. Roux, G. Porte, P. Lindner, Europhys. Lett. 25, 521 (1994).
42. V. Schmitt, F. Lequeux, A. Pousse, D. Roux, Langmuir 10, 955 (1994).
43. J.-F. Berret, D.C. Roux, G. Porte, J. Phys. II 4, 1261 (1994).
44. P.T. Callaghan, M.E. Cates, C.J. Rofe, J.B.A.F. Smeulders, J. Phys. II 6, 375 (1996).
45. J.P. Decruppe, R. Cressely, R. Makhloufi, E. Cappelaere, Colloid Polym. Sci. 273, 346 (1995).
46. R. Makhloufi, J.P. Decruppe, A. Aït-Ali, R. Cressely, Europhys. Lett. 32, 253 (1995).
47. V. Schmitt, F. Lequeux, J. Phys. II 5, 193 (1995).
48. S. Manneville, Rheol. Acta 47, 301 (2008).
49. P.T. Callaghan, Rheol. Acta 47, 243 (2008).
50. S.M. Fielding, Soft Matter 3, 1262 (2007).
51. W.M. Holmes, M.R. Lopez-Gonzalez, P.T. Callaghan, Europhys. Lett. 64, 274 (2003).
52. M.R. Lopez-Gonzalez, W.M. Holmes, P.T. Callaghan, Soft Matter 2, 855 (2006).
53. R. Bandyopadhyay, G. Basappa, A.K. Sood, Phys. Rev. Lett. 84, 2022 (2000).
54. R. Bandyopadhyay, A.K. Sood, Europhys. Lett. 56, 447 (2001).
55. R. Bandyopadhyay, A.K. Sood, Langmuir 19, 3121 (2003).
56. R. Ganapathy, A.K. Sood, Phys. Rev. Lett. 96, 108301 (2006).
57. R. Ganapathy, A.K. Sood, Langmuir 22, 11016 (2006).
58. R. Ganapathy, A.K. Sood, J. Non-Newtonian Fluid Mech. 149, 78 (2008).
59. S. Lerouge, J.P. Decruppe, J.-F. Berret, Langmuir 16, 6464 (2000).
60. J.P. Decruppe, S. Lerouge, J.-F. Berret, Phys. Rev. E 63, 022501 (2001).
61. P.T. Callaghan, Curr. Opin. Colloid Interface Sci. 11, 13 (2006).
62. M.P. Lettinga, S. Manneville, Phys. Rev. Lett. 103, 248302 (2009).
63. S. Manneville, L. B́ecu, A. Colin, Eur. Phys. J. AP 28, 361 (2004).
64. L. B́ecu, S. Manneville, A. Colin, Phys. Rev. Lett. 93, 018301 (2004).
65. E. Fischer, P.T. Callaghan, Europhys. Lett. 50, 803 (2000).
66. P. Fischer, E.K. Wheeler, G.G. Fuller, Rheol. Acta 41, 35 (2002).
67. K. Feindel, P. Callaghan, Rheol. Acta 49, 1003 (2010).
68. N.A. Spenley, M.E. Cates, T.C.B. McLeish, Phys. Rev. Lett. 71, 939 (1993).
69. N.A. Spenley, X.F. Yuan, M.E. Cates, J. Phys. II 6, 551 (1996).
70. P.D. Olmsted, C.Y.D. Lu, Phys. Rev. E 56, R55 (1997).
71. P.D. Olmsted, O. Radulescu, C.Y.D. Lu, J. Rheol. 44, 257 (2000).
72. P.D. Olmsted, P. Goldbart, Phys. Rev. A 41, 4578 (1990).
73. J.K.G. Dhont, Phys. Rev. E 60, 4534 (1999).
74. P.D. Olmsted, Curr. Opin. Colloid Interface Sci. 4, 95 (1999).
75. O. Radulescu, P.D. Olmsted, C.Y.D. Lu, Rheol. Acta 38, 606 (1999).
76. X.F. Yuan, Europhys. Lett. 46, 542 (1999).
77. C.Y.D. Lu, P.D. Olmsted, R.C. Ball, Phys. Rev. Lett. 84, 642 (2000).
78. O. Radulescu, P.D. Olmsted, J. Non-Newtonian Fluid Mech. 91, 143 (2000).
79. K. Sato, X. Yuan, T. Kawakatsu, Eur. Phys. J. E 31, 135 (2010).
80. C. Masselon, A. Colin, P.D. Olmsted, Phys. Rev. E 81, 021502 (2010).
81. M.A. Fardin, T.J. Ober, C. Gay, G. Gŕegoire, G.H. McKinley, S. Lerouge, Soft Matter 8, 910 (2012).
82. S.M. Fielding, P.D. Olmsted, Phys. Rev. Lett. 92, 084502 (2004).
83. J.M. Adams, S.M. Fielding, P.D. Olmsted, J. Non-Newtonian Fluid Mech. 151, 101 (2008).
84. S.M. Fielding, Phys. Rev. Lett. 95, 134501 (2005).
85. S.M. Fielding, P.D. Olmsted, Phys. Rev. Lett. 96, 104502 (2006).
86. H.J. Wilson, Philos. Trans. R. Soc. London, Ser. A: Math. Phys. Eng. Sci. 364, 3267 (2006).
87. S.M. Fielding, Phys. Rev. E 76, 016311 (2007).
88. J.B. Salmon, S. Manneville, A. Colin, Phys. Rev. E 68, 051503 (2003).
89. J.B. Salmon, S. Manneville, A. Colin, Phys. Rev. E 68, 051504 (2003).
90. S. Manneville, J.B. Salmon, A. Colin, Eur. Phys. J. E 13, 197 (2004).
91. S. Lerouge, M. Argentina, J.P. Decruppe, Phys. Rev. Lett. 96, 088301 (2006).
92. M.M. Britton, P.T. Callaghan, J. Rheol. 41, 1365 (1997).
93. M.M. Britton, P.T. Callaghan, Phys. Rev. Lett. 78, 4930 (1997).
94. M.M. Britton, P.T. Callaghan, Eur. Phys. J. B 7, 237 (1999).
95. R.W. Mair, P.T. Callaghan, Europhys. Lett. 36, 719 (1996).
96. R.W. Mair, P.T. Callaghan, J. Rheol. 41, 901 (1997).
97. E. Fischer, P.T. Callaghan, Phys. Rev. E 64, 011501 (2001).
98. S. Lerouge, J.P. Decruppe, P. Olmsted, Langmuir 20, 11355 (2004).
99. J.Y. Lee, G.G. Fuller, N.E. Hudson, X.F. Yuan, J. Rheol. 49, 537 (2005).
100. Y.T. Hu, A. Lips, J. Rheol. 49, 1001 (2005).
101. M.M. Britton, R.W. Mair, R.K. Lambert, P.T. Callaghan, J. Rheol. 43, 897 (1999).
102. A.F. Mendez-Sanchez, J. Perez-Gonzalez, L. de Vargas, J.R. Castrejon-Pita, A.A. Castrejon-Pita, G. Huelsz, J. Rheol. 47, 1455 (2003).
103. C. Masselon, J.B. Salmon, A. Colin, Phys. Rev. Lett. 1, 38301 (2008).
104. P. Nghe, S.M. Fielding, P. Tabeling, A. Ajdari, Phys. Rev. Lett. 104, 248303 (2010).
105. G.G. Fuller, Optical Rheometry of Complex Fluids, chapter Rheology of wormlike micelles: equilibrium properties and shear-banding transition (Oxford University Press, New York, 1995).
106. S. Lerouge, M.A. Fardin, M. Argentina, G. Gŕegoire, O. Cardoso, Soft Matter 4, 1808 (2008).
107. M.A. Fardin, B. Lasne, O. Cardoso, G. Gŕegoire, M. Argentina, J.P. Decruppe, S. Lerouge, Phys. Rev. Lett. 103, 028302 (2009).
108. M.A. Fardin, T.J. Ober, V. Grenard, T. Divoux, S. Manneville, G.H. McKinley, S. Lerouge, to be published in Soft Matter, DOI: 10.1039/C2SM26313K.
109. B.A. Schubert, N.J. Wagner, E.W. Kaler, S.R. Raghavan, Langmuir 20, 3564 (2004).
110. I.A. Kadoma, J.W. van Egmond, Phys. Rev. Lett. 76, 4432 (1996).
111. E.K. Wheeler, P. Izu, G.G. Fuller, Rheol. Acta 35, 139 (1996).
112. I.A. Kadoma, J.W. van Egmond, Langmuir 13, 4551 (1997).
113. I.A. Kadoma, C. Ylitalo, J.W. van Egmond, Rheol. Acta 36, 1 (1997).
114. I.A. Kadoma, J.W. van Egmond, Phys. Rev. Lett. 80, 5679 (1998).
115. B.M. Baumert, S.J. Muller, Phys. Fluids 9, 566 (1997).
116. B.M. Baumert, S.J. Muller, J. Non-Newtonian Fluid Mech. 83, 33 (1999).
117. A. Groisman, V. Steinberg, Phys. Rev. Lett. 78, 1460 (1997).
118. A. Groisman, V. Steinberg, Europhys. Lett. 43, 165 (1998).
119. T. Shikata, H. Hirata, E. Takatori, K. Osaki, J. Non-Newtonian Fluid Mech. 28, 171 (1988).
120. J.-F. Berret, Langmuir 13, 2227 (1997).
121. C. Grand, J. Arrault, M.E. Cates, J. Phys. II 7, 1071 (1997).
122. T. Shikata, S.J. Dahman, D.S. Pearson, Langmuir 10, 3470 (1994).
123. S. Lerouge, J.P. Decruppe, C. Humbert, Phys. Rev. Lett. 81, 5457 (1998).
124. J.F.A. Soltero, F. Bautista, J.E. Puig, O. Manero, Langmuir 15, 1604 (1999).
125. P. Pimenta, E.E. Pashkovski, Langmuir 22, 3980 (2006).
126. J.-F. Berret, G. Porte, Phys. Rev. E 60, 4268 (1999).
127. Suzanne M. Fielding, Phys. Rev. Lett. 104, 198303 (2010).
128. A. Nicolas, A.N. Morozov, Phys. Rev. Lett. 108, 088302 (2012).
129. C.D. Andereck, S.S. Liu, H.L. Swinney, J. Fluid Mech. 164, 155 (1986).
130. N. Abcha, N. Latrache, F. Dumouchel, I. Mutabazi, Exp. Fluids 45, 85 (2008).
131. E. Miller, J.P. Rothstein, J. Non-Newtonian Fluid Mech. 143, 22 (2007).
132. M.W. Liberatore, F. Nettesheim, P.A. Vasquez, M.E. Helgeson, N.J. Wagner, E.W. Kaler, L.P. Cook, L. Porcar, Y.T. Hu, J. Rheol. 53, 441 (2009).
133. M.E. Helgeson, P.A. Vasquez, E.W. Kaler, N.J. Wagner, J. Rheol. 53, 727 (2009).
134. M.E. Helgeson, M.D. Reichert, Y.T. Hu, N.J. Wagner, Soft Matter 5, 3858 (2009).
135. M.A. Fardin, T. Divoux, M.A. Guedeau-Boudeville, I. Buchet-Maulien, J. Browaeys, G.H. McKinley, S. Manneville, S. Lerouge, Soft Matter 8, 2535 (2012).
136. J.P. Decruppe, O. Greffier, S. Manneville, S. Lerouge, Phys. Rev. E 73, 061509 (2006).
137. A. Raudsepp, P.T. Callaghan, Soft Matter 4, 784 (2008).
138. R. Larson, E.S.G. Shaqfeh, S.J. Mueller, J. Fluid Mech. 218, 573 (1990).
139. R.G. Larson, Rheol. Acta 31, 213 (1992).
140. P. Pakdel, G.H. McKinley, Phys. Rev. Lett. 77, 2459 (1996).
141. A. Groisman, V. Steinberg, Phys. Fluids 10, 2451 (1998).
142. A.N. Morozov, W. van Saarloos, Phys. Rep. 447, 112 (2007).
143. A. Groisman, V. Steinberg, Nature 405, 53 (2000).
144. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, International Series of Monographs on Physics (Dover Publications, 1981).
145. H. Giesekus, Rheol. Acta 5, 239 (1966).
146. H. Giesekus, Progr. Heat Mass Trans. 5, 187 (1972).
147. B.M. Baumert, S.J. Muller, Rheol. Acta 34, 147 (1995).
148. E.S.G. Shaqfeh, Annu. Rev. Fluid Mech. 28, 129 (1996).
149. R.G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, New York, 1988).
150. J.M. Dealy, Rheol. Bul. 79, 2 (2010).
151. S.J. Muller, Korea-Australia Rheol. J. 20, 117 (2008).
152. R.G. Larson, Nature 405, 27 (2000).
153. A. Groisman, V. Steinberg, New J. Phys. 6, 29 (2004).
154. V. Steinberg, Scholarpedia 3, 5476 (2008).
155. A. Groisman, V. Steinberg, Phys. Rev. Lett. 77, 1480 (1996).
156. N. Phan-Tien, J. Non-Newtonian Fluid Mech. 13, 325 (1983).
157. G.H. McKinley, J.A. Byars, R.A. Brown, R.C. Armstrong, J. Non-Newtonian Fluid Mech. 40, 201 (1991).
158. T. Burghelea, E. Segre, V. Steinberg, Phys. Fluids 19, 053104 (2007).
159. G.H. McKinley, P. Pakdel, A. Oztekin, J. Non-Newtonian Fluid Mech. 67, 19 (1996).
160. Y.L. Joo, E.S.G. Shaqfeh, Phys. Fluids A: Fluid Dyn. 3, 2043 (1991).
161. Y. Jun, V. Steinberg, Phys. Rev. Lett. 102, 124503 (2009).
162. G.H. McKinley, R.C. Armstrong, R.A. Brown, Philos. Trans. R. Soc. London, Ser. A: Phys. Engin. Sci. 344, 265 (1993).
163. G.H. McKinley, W.P. Raiford, R.A. Brown, R.C. Armstrong, J. Fluid Mech. 223, 411 (1991).
164. M. Avgousti, A.N. Beris, J. Non-Newtonian Fluid Mech. 50, 225 (1993).
165. R. Sureshkumar, A.N. Beris, M. Avgousti, Proc. R. Soc. London, Ser. A: Math. Phys. Sci. 447, 135 (1994).
166. Y.L. Joo, E.S.G. Shaqfeh, J. Fluid Mech. 262, 27 (1994).
167. D.G. Thomas, U.A. Al-Mubaiyedh, R. Sureshkumar, B. Khomami, J. Non-Newtonian Fluid Mech. 138, 111 (2006).
168. D.G. Thomas, B. Khomami, R. Sureshkumar, J. Fluid Mech. 620, 353 (2009).
169. R.G. Larson, S.J. Muller, E.S.G. Shaqfeh, J. Non-Newtonian Fluid Mech. 51, 195 (1994).
170. O. Crumeyrolle, I. Mutabazi, M. Grisel, Phys. Fluids 14, 1681 (2002).
171. O. Crumeyrolle, N. Latrache, I. Mutabazi, A.B. Ezersky, J. Phys.: Conf. Ser. 14, 78 (2005).
172. M.A. Fardin, D. Lopez, J. Croso, G. Gŕegoire, O. Cardoso, G.H. McKinley, S. Lerouge, Phys. Rev. Lett. 104, 178303 (2010).
173. K.A. Kumar, M.D. Graham, J. Fluid Mech. 443, 301 (2001).
174. D.G. Thomas, U.A. Al-Mubaiyedh, R. Sureshkumar, B. Khomami, J. Non-Newtonian Fluid Mech. 138, 111 (2006).
175. A. Fouxon, V. Lebedev, Phys. Fluids 15, 2060 (2003).
176. T. Burghelea, E. Segre, V. Steinberg, Europhys. Lett. 68, 529 (2004).
177. T. Burghelea, E. Segre, V. Steinberg, Phys. Fluids 17, 103101 (2005).
178. T. Burghelea, E. Segre, V. Steinberg, Phys. Rev. Lett. 96, 214502 (2006).
179. V. Steinberg, C. R. Phys. 10, 728 (2009).
180. P. Fischer, H. Rehage, Rheol. Acta 36, 13 (1997).
181. S. Majumdar, A.K. Sood, Phys. Rev. E 84, 015302 (2011).
182. F.H. Busse, Topics in Applied Physics, chapter Transition to turbulence in Rayleigh-B'enard convection: Hydrodynamics instabilities and the transition to turbulence (Springer, New York, 1981).
183. J.-F. Berret, G. Porte, J.P. Decruppe, Phys. Rev. E 55, 1668 (1997).
184. G. Porte, J.-F. Berret, J.L. Harden, J. Phys. II 7, 459 (1997).
185. S. Manneville, J.B. Salmon, L. B́ecu, A. Colin, F. Molino, Rheol. Acta 43, 408 (2004).
186. P. Ballesta, M.P. Lettinga, S. Manneville, J. Rheol. 51, 1047 (2007).
187. R.E. Khayat, J. Fluid Mech. 400, 33 (1999).
188. M.A. Fardin, T.J. Ober, C. Gay, G. Gŕegoire, G.H. McKinley, S. Lerouge, EPL 96, 44004 (2011).
189. E. Cappelaere, R. Cressely, J. Colloid Polym. Sci. 275, 407 (1997).
190. B. Lasne, These de Doctorat, Universit'e Paris-Diderot (2010).
191. A.W. El-Kareh, L.G. Leal, J. Non-Newtonian Fluid Mech. 33, 257 (1989).
192. V. Schmitt, C.M. Marques, F. Lequeux, Phys. Rev. E 52, 4009 (1995).
193. S.M. Fielding, P.D. Olmsted, Eur. Phys. J. E 11, 65 (2003).
194. P.D. Olmsted, Europhys. Lett. 48, 339 (1999).
195. O. Radulescu, P.D. Olmsted, J.P. Decruppe, S. Lerouge, J.-F. Berret, G. Porte, Europhys. Lett. 62, 230 (2003).
196. J. Goyon, A. Colin, G. Ovarlez, A. Ajdari, L. Bocquet, Nature 454, 84 (2008).
197. R.G. Larson, Constitutive Equations for Polymer Melt and Solutions (Butterworth-Heinemann, 1988).
198. M. Cromer, L.P. Cook, G.H. McKinley, J. Non-Newtonian Fluid Mech. 166, 566 (2011).
199. A. Groisman, V. Steinberg, Phys. Rev. Lett. 86, 934 (2001).
200. S. Gerashchenko, C. Chevallard, V. Steinberg, Europhys. Lett. 71, 221 (2005).
201. Y. Liu, V. Steinberg, EPL 90, 44002 (2010).
202. Y. Liu, V. Steinberg, EPL 90, 44005 (2010).
203. P.A. Stone, S.D. Hudson, P. Dalhaimer, D.E. Discher, E.J. Amis, K.B. Migler, Macromolecules 39, 7144 (2006).
204. S.J. Haward, T.J. Ober, M.S.N. Oliveira, M.A. Alves, G.H. McKinley, Soft Matter 8, 536 (2012).