Rheological study of polymer flow past rough surfaces with slip boundary conditions
J. Chem. Phys. 129, 144902 (2008); doi:10.1063/1.2988496
Published 8 October 2008
You are not logged in to this journal. Log in
The slip phenomena in thin polymer films confined by either flat or periodically corrugated surfaces are investigated by molecular dynamics and continuum simulations. For atomically flat surfaces and weak wall-fluid interactions, the shear rate dependence of the slip length has a distinct local minimum which is followed by a rapid increase at higher shear rates. For corrugated surfaces with wavelength larger than the radius of gyration of polymer chains, the effective slip length decays monotonically with increasing corrugation amplitude. At small amplitudes, this decay is reproduced accurately by the numerical solution of the Stokes equation with constant and rate-dependent local slip length. When the corrugation wavelength is comparable to the radius of gyration, the continuum predictions overestimate the effective slip length obtained from molecular dynamics simulations. The analysis of the conformational properties indicates that polymer chains tend to stretch in the direction of shear flow above the crests of the wavy surface.
©2008 American Institute of Physics
| History: | Received 24 January 2008; accepted 2 September 2008; published 8 October 2008 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/129/144902/1 |
KEYWORDS and PACS
RELATED DATABASES
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (64)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- A. A. Darhuber and S. M. Troian,
Annu. Rev. Fluid Mech. 37, 425 (2005) . - C. Neto, D. R. Evans, E. Bonaccurso, H. J. Butt, and V. S. J. Craig,
Rep. Prog. Phys. 68, 2859 (2005) . - N. V. Churaev, V. D. Sobolev, and A. N. Somov,
J. Colloid Interface Sci. 97, 574 (1984) . - C. Cottin-Bizonne, S. Jurine, J. Baudry, J. Crassous, F. Restagno, and É. Charlaix,
Eur. Phys. J. E 9, 47 (2002) . - L. Joly, C. Ybert, and L. Bocquet, Phys. Rev. Lett. 96, 046101 (2006).
- T. Schmatko, H. Hervet, and L. Leger, Phys. Rev. Lett. 94, 244501 (2005).
- R. Pit, H. Hervet, and L. Leger, Phys. Rev. Lett. 85, 980 (2000).
- Y. Zhu and S. Granick, Phys. Rev. Lett. 88, 106102 (2002).
- E. Bonaccurso, H. J. Butt, and V. S. J. Craig, Phys. Rev. Lett. 90, 144501 (2003).
- J. Sanchez-Reyes and L. A. Archer,
Langmuir 19, 3304 (2003) . - T. Schmatko, H. Hervet, and L. Leger,
Langmuir 22, 6843 (2006) . - O. I. Vinogradova and G. E. Yakubov, Phys. Rev. E 73, 045302(R) (2006).
- K. B. Migler, H. Hervet, and L. Leger, Phys. Rev. Lett. 70, 287 (1993).
- R. G. Horn, O. I. Vinogradova, M. E. Mackay, and N. Phan-Thien, J. Chem. Phys. 112, 6424 (2000).
- Y. Zhu and S. Granick, Phys. Rev. Lett. 87, 096105 (2001).
- V. S. J. Craig, C. Neto, and D. R. M. Williams, Phys. Rev. Lett. 87, 054504 (2001).
- C. H. Choi, K. J. A. Westin, and K. S. Breuer, Phys. Fluids 15, 2897 (2003).
- J. Koplik, J. R. Banavar, and J. F. Willemsen, Phys. Fluids A 1, 781 (1989).
- P. A. Thompson and M. O. Robbins, Phys. Rev. A 41, 6830 (1990).
- P. A. Thompson, M. O. Robbins, and G. S. Grest,
Isr. J. Chem. 35, 93 (1995) . - P. A. Thompson and S. M. Troian,
Nature (London) 389, 360 (1997) . - A. Jabbarzadeh, J. D. Atkinson, and R. I. Tanner, J. Chem. Phys. 110, 2612 (1999).
- J. -L. Barrat and L. Bocquet, Phys. Rev. Lett. 82, 4671 (1999).
- M. Cieplak, J. Koplik, and J. R. Banavar, Phys. Rev. Lett. 86, 803 (2001).
- N. V. Priezjev and S. M. Troian, Phys. Rev. Lett. 92, 018302 (2004).
- T. M. Galea and P. Attard,
Langmuir 20, 3477 (2004) . - N. V. Priezjev, Phys. Rev. E 75, 051605 (2007).
- R. Khare, J. J. de Pablo, and A. Yethiraj,
Macromolecules 29, 7910 (1996) . - A. Koike and M. Yoneya,
J. Phys. Chem. B 102, 3669 (1998) . - A. Niavarani and N. V. Priezjev, Phys. Rev. E 77, 041606 (2008).
- J. P. Gao, W. D. Luedtke, and U. Landman,
Tribol. Lett. 9, 3 (2000) . - A. Jabbarzadeh, J. D. Atkinson, and R. I. Tanner, Phys. Rev. E 61, 690 (2000).
- N. V. Priezjev and S. M. Troian,
J. Fluid Mech. 554, 25 (2006) . - C. Kunert and J. Harting, Phys. Rev. Lett. 99, 176001 (2007).
- N. V. Priezjev, J. Chem. Phys. 127, 144708 (2007).
- E. Lauga and H. A. Stone,
J. Fluid Mech. 489, 55 (2003) . - S. C. Hendy, M. Jasperse, and J. Burnell, Phys. Rev. E 72, 016303 (2005).
- N. V. Priezjev, A. A. Darhuber, and S. M. Troian, Phys. Rev. E 71, 041608 (2005).
- T. Qian, X. P. Wang, and P. Sheng, Phys. Rev. E 72, 022501 (2005).
- S. C. Hendy and N. J. Lund, Phys. Rev. E 76, 066313 (2007).
- S. Richardson,
J. Fluid Mech. 59, 707 (1973) . - C. Cottin-Bizonne, J. -L. Barrat, L. Bocquet, and É. Charlaix,
Nat. Mater. 2, 237 (2003) . - C. Cottin-Bizonne, C. Barentin, É. Charlaix, L. Bocquet, and J. -L. Barrat,
Eur. Phys. J. E 15, 427 (2004) . - M. Sbragaglia, R. Benzi, L. Biferale, S. Succi, and F. Toschi, Phys. Rev. Lett. 97, 204503 (2006).
- M. Sbragaglia and A. Prosperetti, Phys. Fluids 19, 043603 (2007).
- J. Ou, B. Perot, and J. P. Rothstein, Phys. Fluids 16, 4635 (2004).
- C. H. Choi and C. J. Kim, Phys. Rev. Lett. 96, 066001 (2006).
- P. Joseph, C. Cottin-Bizonne, J. -M. Benoit, C. Ybert, C. Journet, P. Tabeling, and L. Bocquet, Phys. Rev. Lett. 97, 156104 (2006).
- D. Einzel, P. Panzer, and M. Liu, Phys. Rev. Lett. 64, 2269 (1990).
- P. Panzer, M. Liu, and D. Einzel,
Int. J. Mod. Phys. B 6, 3251 (1992) . - K. Kremer and G. S. Grest, J. Chem. Phys. 92, 5057 (1990).
- G. S. Grest and K. Kremer, Phys. Rev. A 33, 3628 (1986).
- J. P. Boon and S. Yip, Molecular Hydrodynamics (McGraw-Hill, New York, 1980).
- M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987).
- J. C. Heinrich and D. W. Pepper, Intermediate Finite Element Method: Fluid Flow and Heat Transfer Applications (Taylor & Francis, Philadelphia, 1999).
- J. H. Irving and J. G. Kirkwood, J. Chem. Phys. 18, 817 (1950).
- R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, 2nd ed. (Wiley, New York, 1987).
- Z. Xu, J. J. de Pablo, and S. Kim, J. Chem. Phys. 102, 5836 (1995).
- J. T. Bosko, B. D. Todd, and R. J. Sadus, J. Chem. Phys. 121, 12050 (2004).
- E. O. Tuck and A. Kouzoubov,
J. Fluid Mech. 300, 59 (1995) . - L. M. Hocking,
J. Fluid Mech. 76, 801 (1976) . - T. Aoyagi, J. Takimoto, and M. Doi, J. Chem. Phys. 115, 552 (2001).
- I. Bitsanis and G. Hadziioannou, J. Chem. Phys. 92, 3827 (1990).
- S. J. Plimpton,
J. Comput. Phys. 117, 1 (1995)
see also http://lammps.sandia.gov








