Effective slip-length tensor for a flow over weakly slipping stripes

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 88, Issue 2, 2013, Pages

  Asmolov, Evgeny S ^a,b,c   Zhou, Jiajia ^d   Schmid, Friederike ^d   Vinogradova, Olga I ^a,c,e  

^a FRUMKIN INSTITUTE OF PHYSICAL CHEMISTRY AND ELECTROCHEMISTRY   (Russian Federation)

^b CENTRAL AEROHYDRODYNAMIC INSTITUTE TSAGI   (Russian Federation)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

^d JOHANNES GUTENBERG UNIVERSITY   (Germany)

^e RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC FORMULA; DISSIPATIVE PARTICLE DYNAMICS SIMULATION; EFFECTIVE SLIP LENGTHS; HETEROGENEOUS SOLID SURFACE; NUMERICAL SOLUTION; SLIP LENGTH; SLIPPING SURFACES;

ANISOTROPY;

TENSORS;

EID: 84883897790     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.023004     Document Type: Article

References (55)

1. H. A. Stone, A. D. Stroock, and A. Ajdari, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.36.050802.122124 36, 381 (2004).
2. T. M. Squires and S. R. Quake, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.977 77, 977 (2005). (Pubitemid 43272528)
3. O. I. Vinogradova, Int. J. Miner. Proc. IJMPBL 0301-7516 10.1016/S0301-7516(98)00041-6 56, 31 (1999). (Pubitemid 29375591)
4. L. Bocquet and J. L. Barrat, Soft Matter 1744-683X 10.1039/b616490k 3, 685 (2007). (Pubitemid 46794175)
5. D. Quere, Annu. Rev. Mater. Res. ARMRCU 1531-7331 10.1146/annurev.matsci. 38.060407.132434 38, 71 (2008).
6. G. McHale, M. I. Newton, and N. J. Schirtcliffe, Soft Matter 1744-683X 10.1039/b917861a 6, 714 (2010).
7. O. I. Vinogradova and A. V. Belyaev, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/23/18/184104 23, 184104 (2011).
8. O. I. Vinogradova and A. L. Dubov, Mendeleev Commun. MENCEX 0959-9436 10.1016/j.mencom.2012.09.001 19, 229 (2012).
9. O. I. Vinogradova, Langmuir LANGD5 0743-7463 10.1021/la00006a059 11, 2213 (1995).
10. O. I. Vinogradova and G. E. Yakubov, Langmuir LANGD5 0743-7463 10.1021/la026419f 19, 1227 (2003).
11. O. I. Vinogradova, K. Koynov, A. Best, and F. Feuillebois, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.118302 102, 118302 (2009).
12. C. Cottin-Bizonne, B. Cross, A. Steinberger, and E. Charlaix, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.056102 94, 056102 (2005). (Pubitemid 40620864)
13. L. Joly, C. Ybert, and L. Bocquet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.046101 96, 046101 (2006). (Pubitemid 43270881)
14. C. H. Choi, U. Ulmanella, J. Kim, C. M. Ho, and C. J. Kim, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2337669 18, 087105 (2006). (Pubitemid 44317210)
15. P. Joseph, C. Cottin-Bizonne, J.-M. Beno I î t, C. Ybert, C. Journet, P. Tabeling, and L. Bocquet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.156104 97, 156104 (2006). (Pubitemid 44547770)
16. J. P. Rothstein, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev-fluid-121108-145558 42, 89 (2010).
17. K. Kamrin, M. Z. Bazant, and H. A. Stone, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112010001801 658, 409 (2010).
18. M. Z. Bazant and O. I. Vinogradova, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211200800356X 613, 125 (2008).
19. N. V. Priezjev, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3663384 135, 204704 (2011).
20. N. Tretyakov and M. Müller, Soft Matter 1744-683X 10.1039/c3sm27440c 9, 3613 (2013).
21. N. V. Priezjev, A. A. Darhuber, and S. M. Troian, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.041608 71, 041608 (2005). (Pubitemid 40619576)
22. C. Cottin-Bizonne, C. Barentin, E. Charlaix, L. Bocquet, and J. L. Barrat, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2004-10061-9 15, 427 (2004). (Pubitemid 40134684)
23. S. Schmieschek, A. V. Belyaev, J. Harting, and O. I. Vinogradova, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.016324 85, 016324 (2012).
24. E. S. Asmolov, S. Schmieschek, J. Harting, and O. I. Vinogradova, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.87.023005 87, 023005 (2013).
25. J. Zhou, A. V. Belyaev, F. Schmid, and O. I. Vinogradova, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.4718834 136, 194706 (2012).
26. A. Ajdari, Phys. Rev. E 1063-651X 10.1103/PhysRevE.65.016301 65, 016301 (2001).
27. A. D. Stroock, S. K. Dertinger, G. M. Whitesides, and A. Ajdari, Anal. Chem. ANCHAM 0003-2700 10.1021/ac0257389 74, 5306 (2002). (Pubitemid 35215360)
28. A. Shukurov, R. Stepanov, and D. Sokoloff, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.025301 78, 025301 (R) (2008).
29. A. D. Stroock, S. K. W. Dertinger, A. Ajdari, I. Mezić, H. A. Stone, and G. M. Whitesides, Science SCIEAS 0036-8075 10.1126/science.1066238 295, 647 (2002). (Pubitemid 34111816)
30. S. S. Bahga, O. I. Vinogradova, and M. Z. Bazant, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112009992771 644, 245 (2010).
31. A. V. Belyaev and O. I. Vinogradova, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.098301 107, 098301 (2011).
32. T. M. Squires, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2978954 20, 092105 (2008).
33. C. Ybert, C. Barentin, C. Cottin-Bizonne, P. Joseph, and L. Bocquet, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2815730 19, 123601 (2007).
34. F. Feuillebois, M. Z. Bazant, and O. I. Vinogradova, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.026001 102, 026001 (2009).
35. A. V. Belyaev and O. I. Vinogradova, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112010000741 652, 489 (2010).
36. E. S. Asmolov and O. I. Vinogradova, J. Fluid Mech. JFLSA7 0022-1120 10.1017/jfm.2012.228 706, 108 (2012).
37. C. Y. Wang, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1560925 15, 1114 (2003). (Pubitemid 36751492)
38. J. R. Philip, J. Appl. Math. Phys. ZAMPA8 0044-2275 10.1007/BF01595477 23, 353 (1972).
39. M. Sbragaglia and A. Prosperetti, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2716438 19, 043603 (2007). (Pubitemid 46705893)
40. P. J. Hoogerbrugge and J. M. V. A. Koelman, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/19/3/001 19, 155 (1992).
41. P. Español and P. Warren, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/30/4/001 30, 191 (1995).
42. R. D. Groot and P. B. Warren, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.474784 107, 4423 (1997).
43. T. Soddemann, B. Dünweg, and K. Kremer, Phys. Rev. E 1063-651X 10.1103/PhysRevE.68.046702 68, 046702 (2003).
44. J. Smiatek, M. Allen, and F. Schmid, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2007-10311-4 26, 115 (2008).
45. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.88.023004 for details on the simulation model and parameters.
46. H. Limbach, A. Arnold, B. Mann, and C. Holm, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2005.10.005 174, 704 (2006).
47. L. Cao, J. Wu, and D. Gao, Adv. Sci. Eng. Med. 2164-6627 10.1166/asem.2012.1157 4, 345 (2012).
48. E. S. Asmolov, A. V. Belyaev, and O. I. Vinogradova, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.026330 84, 026330 (2011).
49. N. Lecoq, R. Anthore, B. Cichocki, P. Szymczak, and F. Feuillebois, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112004009942 513, 247 (2004). (Pubitemid 39142837)
50. A. Mongruel, T. Chastel, E. S. Asmolov, and O. I. Vinogradova, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.87.011002 87, 011002(R) (2013).
51. G. Beavers and D. Joseph, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112067001375 30, 197 (1967).
52. G. Taylor, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112071002088 49, 319 (1971).
53. S. Richardson, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211207100209X 49, 327 (1971).
54. C. Kunert and J. Harting, Phys. Rev. Lett PRLTAO 0031-9007 10.1103/PhysRevLett.99.176001 99, 176001 (2007). (Pubitemid 350005106)
55. C. Kunert, J. Harting, and O. I. Vinogradova, Phys. Rev. Lett PRLTAO 0031-9007 10.1103/PhysRevLett.105.016001 105, 016001 (2010).