Boundary conditions for fluids with internal orientational degrees of freedom: Apparent velocity slip associated with the molecular alignment

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

Volumn 75, Issue 6, 2007, Pages

  Heidenreich, Sebastian ^a   Ilg, Patrick ^b   Hess, Siegfried ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

BIREFRINGENCE; BOUNDARY CONDITIONS; CRYSTAL ORIENTATION; DEGREES OF FREEDOM (MECHANICS); POLYMERS; THERMOTROPIC LIQUID CRYSTALS;

MOLECULAR LIQUIDS; MOMENTUM BALANCE EQUATIONS; POLYMERIC FLUIDS; SLIP VELOCITY;

FLOW OF FLUIDS;

EID: 34547325931     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.066302     Document Type: Article

References (44)

1. F. R. W. McCourt, J. J. M. Beenakker, W. E. Köhler and I. Kuscer, Nonequilibrium Phenomena in Polyatomic Gases (Clarendon, Oxford, 1990), Vols. 1 and 2.
2. T. M. Squires and S. R. Quake, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.977 77, 977 (2005).
3. N. V. Priezjev and S. M. Troian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.018302 92, 018302 (2004).
4. C. Neto, D. R. Evans, E. Bonaccurso, H.-J. Butt, and V. S. J. Craig, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/68/12/R05 68, 2859 (2005).
5. E. Lauga, M. P. Brenner, and H. A. Stone, in Handbook of Experimental Fluid Dynamics, edited by, J. Foss, C. Tropea, and, A. Yarin, (Springer, New York, 2005).
6. C. Cottine-Bizonne, Nat. Mater. NMAACR 1476-1122 10.1038/nmat857 2, 238 (2003).
7. P. Joseph and P. Tabeling, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.035303 71, 035303 (R) (2005).
8. D. C. Tretheway and C. D. Mainhart, Phys. Fluids PFLDAS 0031-9171 10.1063/1.1432696 14, L9 (2002).
9. R. Benzi, L. Biferale, M. Sbragaglia, S. Succi, and F. Toschi, Math. Comput. Simul. MCSIDR 0378-4754 10.1016/j.matcom.2006.05.034 72, 84 (2006).
10. S. P. Meeker, R. T. Bonnecaze, and M. Cloitre, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.198302 92, 198302 (2004).
11. V. S. J. Craig, C. Neto, and D. R. M. Williams, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.054504 87, 054504 (2001).
12. C. Pastorino, K. Binder, T. Kreer, and M. Müller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2162883 124, 064902 (2006).
13. L. Waldmann, Z. Naturforsch. A ZENAAU 0044-3166 22a, 1269 (1967).
14. H. Vestner, Z. Naturforsch. A ZENAAU 0044-3166 28a, 869 (1973).
15. S. Hess and H.-M. Koo, J. Non-Equilib. Thermodyn. JNETDY 0340-0204 14, 159 (1989).
16. R. Fetzer, M. Rauscher, A. Münch, B. A. Wagner, and K. Jacobs, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10160-3 75, 638 (2006).
17. D. Bedeaux, A. M. Albano, and P. Mazur, Physica A PHYADX 0378-4371 10.1016/0378-4371(76)90017-0 82, 438 (1976).
18. A. M. Albano and D. Bedeaux, Physica A PHYADX 0378-4371 10.1016/0378-4371(87)90117-8 147, 407 (1987).
19. H. C. Öttinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73. 036126 73, 036126 (2006).
20. G. G. Fuller, Optical Rheometry of Complex Fluids (Oxford University Press, New York, 1995).
21. S. Hess, Z. Naturforsch. A ZENAAU 0044-3166 30a, 728 (1975).
22. C. Pereira Borgmeyer and S. Hess, J. Non-Equilib. Thermodyn. JNETDY 0340-0204 20, 359 (1995).
23. S. Hess and I. Pardowitz, Z. Naturforsch. A ZENAAU 0044-3166 36a, 554 (1981).
24. G. Marrucci and F. Greco, Mol. Cryst. Liq. Cryst. MCLCA5 0026-8941 206, 17 (1991);
25. M. Kröger and H. S. Sellers, in Complex Fluids, edited by, L. Garrido, Lecture Notes in Physics 415 (Springer, New York, 1992), pp. 295-301;
26. G. Sgalari, G. L. Leal, and J. J. Feng, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/S0377-0257(01)00187-2 102, 361 (2002).
27. G. Rienäcker, M. Kröger, and S. Hess, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.040702 66, 040702 (R) (2002);
28. G. Rienäcker, M. Kröger, and S. Hess, Physica A PHYADX 0378-4371 10.1016/S0378-4371(02)01008-7 315, 537 (2002).
29. B. K. Gupta, S. Hess, and A. D. May, Can. J. Phys. CJPHAD 0008-4204 50, 778 (1972).
30. S. Hess, Z. Naturforsch. A ZENAAU 0044-3166 28a, 861 (1973).
31. G. Rienäcker and S. Hess, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00669-4 267, 294 (1999).
32. S. Hess, J. Non-Equilib. Thermodyn. JNETDY 0340-0204 11, 176 (1986).
33. S. Hess, Z. Naturforsch. A ZENAAU 0044-3166 31a, 1034 (1976).
34. S. Hess, in Electro-Optics and Dielectrics of Macromolecules and Colloids, edited by, B. R. Jennings, (Plenum, New York 1979).
35. M. Doi, Ferroelectrics FEROA8 0015-0193 30, 247 (1980);
36. M. Doi, J. Polym. Sci., Polym. Phys. Ed. JPLPAY 0098-1273 10.1002/pol.1981.180190205 19, 229 (1981).
37. C. Schneggenburger, M. Kröger, and S. Hess, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(96)01413-9 62, 235 (1996).
38. S. Heidenreich, P. Ilg, and S. Hess, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.061710 73, 061710 (2006).
39. L. Waldmann and H. Vestner, Physica A PHYADX 0378-4371 10.1016/0378-4371(79)90122-5 99, 1 (1979).
40. Y. Cohen, in Encyclopedia of fluid mechanics, edited by, N. P. Cheremisinoff, Vol. 7 (Gulf, Houston, 1986.
41. P. Kaiser, W. Wiese, and S. Hess, J. Non-Equilib. Thermodyn. JNETDY 0340-0204 17, 153 (1992).
42. W. Rehwald, Elementare Einführung in die Bessel-, Neumann-und Hankel-Funktionen, edited by, O. Zinke, and S. Hirzel (Verlag, Stuttgart, 1959).
43. P. Kasperkovitz, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.524310 21, 6 (1980).
44. L. Bocquet and J.-L. Barrat, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/8/47/019 8, 9297 (1996).