Abstract.
The evolution over time of the nonlinear slip behavior of a polydimethylsiloxane (PDMS) polymer melt on a weakly adsorbing surface made of short non-entangled PDMS chains densely end-grafted to the surface of a fused silica prism has been measured. The critical shear rate at which the melt enters the nonlinear slip regime has been shown to increase with time. The adsorption kinetics of the melt on the same surface has been determined independently using ellipsometry. We show that the evolution of slip can be explained by the slow adsorption of melt chains using the Brochard-de Gennes's model.
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L. Auvray, P.G. De Gennes, Europhys. Lett. 2, 647 (1986)
P. Auroy, L. Auvray, L. Léger, J. Phys.: Condens. Matter 2, SA317 (1990)
P. Auroy, L. Auvray, L. Léger, Phys. Rev. Lett. 66, 719 (1991)
P. Auroy, L. Auvray, L. Léger, Macromolecules 24, 2523 (1991)
P. Auroy, Y. Mir, L. Auvray, Phys. Rev. Lett. 69, 93 (1992)
Y. Mir, P. Auroy, L. Auvray, Phys. Rev. Lett. 75, 2863 (1995)
P. Auroy, L. Auvray, Macromolecules 25, 4134 (1992)
L. Auvray, P. Auroy, M. Cruz, J. Phys. I 2, 943 (1992)
L. Auvray, M. Cruz, P. Auroy, J. Phys. II 2, 1133 (1992)
J. Lal, L. Auvray, J. Phys. II 4, 2119 (1994)
L. De Vargas, O. Manero, Polym. Eng. Sci. 29, 1232 (1989)
G. Chauveteau, A. Zaitoun, Basic rheological behavior of xanthan polysaccharide solutions in porous media: Effect of pore size and polymer concentration, in Proceedings of the First European Symposium on Enhanced Oil Recovery, Bournemouth, England (Society of Petroleum Engineers, Richardson, TX, 1981) pp. 197--212
A. Cuenca, H. Bodiguel, Lab Chip 12, 1672 (2012)
A. Cuenca, H. Bodiguel, Phys. Rev. Lett. 110, 108304 (2013)
A.V. Ramamurthy, J. Rheol. 30, 337 (1986)
J.M. Piau, N. El Kissi, J. Non-Newton. Fluid Mech. 54, 121 (1994)
M.M. Denn, Annu. Rev. Fluid Mech. 33, 265 (2001)
J. Cayer-Barrioz, D. Mazuyer, A. Tonck, E. Yamaguchi, Tribol. Lett. 32, 81 (2008)
A. Dėdinaitė, Soft Matter 8, 273 (2012)
C.L. Navier, Mémoire sur les lois du mouvement des fluides, in Mémoires de l'Académie des Sciences, Tome 6 (1827) pp. 389--440
N.V. Churaev, V.D. Sobolev, A.N. Somov, J. Colloid Interface Sci. 97, 574 (1984)
R. Pit, H. Hervet, L. Léger, Phys. Rev. Lett. 85, 980 (2000)
V.S.J. Craig, C. Neto, D.R.M. Williams, Phys. Rev. Lett. 87, 0545041 (2001)
T. Schmatko, H. Hervet, L. Léger, Phys. Rev. Lett. 94, 244501 (2005)
C. Neto, D.R. Evans, E. Bonaccurso, H. Butt, V.S.J. Craig, Rep. Prog. Phys. 68, 2859 (2005)
C. Cottin-Bizonne, S. Jurine, J. Baudry, J. Crassous, F. Restagno, E. Charlaix, Eur. Phys. J. E 9, 47 (2002)
E. Secchi, S. Marbach, A. Niguès, D. Stein, A. Siria, L. Bocquet, Nature 537, 210 (2016)
P.G. De Gennes, C. R. Acad. Sci. Paris 288, 219 (1979)
S.-Q. Wang, P.P. Drda, Macromol. Chem. Phys. 198, 673 (1997)
O. Bäumchen, R. Fetzer, K. Jacobs, Phys. Rev. Lett. 103, 247801 (2009)
M. Hénot, E. Drockenmuller, L. Léger, F. Restagno, ACS Macro Lett. 7, 112 (2018)
F.J. Lim, W.R. Schowalter, J. Rheol. 33, 1359 (1989)
N.E. Kissi, J. Paiu, J. Non-Newton. Fluid Mech. 37, 55 (1990)
S.G. Hatzikiriakos, J.M. Dealy, J. Rheol. 36, 703 (1992)
K.B. Migler, H. Hervet, L. Léger, Phys. Rev. Lett. 70, 287 (1993)
P.P. Drda, S.-Q. Wang, Phys. Rev. Lett. 75, 2698 (1995)
S.-Q. Wang, P.A. Drda, Macromolecules 29, 2627 (1996)
S.-Q. Wang, P.A. Drda, Macromolecules 29, 4115 (1996)
E. Durliat, H. Hervet, L. Léger, Europhys. Lett. 38, 383 (1997)
L. Léger, H. Hervet, G. Massey, E. Durliat, J. Phys.: Condens. Matter 9, 7719 (1997)
G. Massey, H. Hervet, L. Léger, Europhys. Lett. 43, 83 (1998)
A. Chennevière, F. Cousin, F. Boué, E. Drockenmuller, K.R. Shull, L. Léger, F. Restagno, Macromolecules 49, 2348 (2016)
M. Ilton, T. Salez, P.D. Fowler, M. Rivetti, M. Aly, M. Benzaquen, J.D. McGraw, E. Raphaël, K. Dalnoki-Veress, O. Bäumchen, Beyond the Navier-de Gennes Paradigm: Slip Inhibition on Ideal Substrates, arXiv:1708.03420 (2017)
C. Gay, Eur. Phys. J. B 7, 251 (1999)
F.J. Rielly, W.L. Price, SPE J. 17, 1097 (1961)
D.S. Kalika, M.M. Denn, J. Rheol. 31, 815 (1987)
F. Brochard, P.G. De Gennes, Langmuir 8, 3033 (1992)
A. Adjari, F. Brochard-Wyart, P.-G. de Gennes, L. Leibler, J.-L. Viovy, M. Rubinstein, Physica A: Stat. Mech. Appl. 204, 17 (1994)
A. Ajdari, F. Brochard-Wyart, C. Gay, P.G. De Gennes, J. Phys. II 5, 491 (1995)
F. Brochard-Wyart, C. Gay, P.G. de Gennes, Macromolecules 29, 377 (1996)
S. Jeong, S. Cho, J.M. Kim, C. Baig, J. Rheol. 61, 253 (2017)
P. De Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, 1979)
L. Léger, H. Hervet, P. Auroy, E. Boucher, G. Massey, The reptation model: tests through diffusion measurements in linear polymer melts, in Rheology for Polymer Melt Processing, edited by J.-M. Piau, J.-F. Agassant, Rheology Series, Vol. 5 (Elsevier, 1996) pp. 1--16
C. Cohen, D. Damiron, S.B. Dkhil, E. Drockenmuller, F. Restagno, L. Léger, J. Polym. Sci. Part A: Polym. Chem. 50, 1827 (2012)
L.J. Fetters, D.J. Lohse, D. Richter, T.A. Witten, A. Zirkel, Macromolecules 27, 4639 (1994)
C. Marzolin, P. Auroy, M. Deruelle, J.P. Folkers, L. Léger, A. Menelle, Macromolecules 34, 8694 (2001)
M. Hénot, A. Chennevière, E. Drockenmuller, L. Léger, F. Restagno, Macromolecules 50, 5592 (2017)
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Hénot, M., Drockenmuller, E., Léger, L. et al. Sensing adsorption kinetics through slip velocity measurements of polymer melts. Eur. Phys. J. E 41, 83 (2018). https://doi.org/10.1140/epje/i2018-11697-4
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DOI: https://doi.org/10.1140/epje/i2018-11697-4