Apparent yield stress in rigid fibre suspensions: The role of attractive colloidal interactions

Journal of Fluid Mechanics

Volumn 802, Issue , 2016, Pages 611-633

  Bounoua, S ^a   Lemaire, E ^a   Ferec J ^b   Ausias, G ^b   Zubarev, A ^c   Kuzhir, P ^a  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b UNIVERSITÉ DE BRETAGNE SUD   (France)

^c URAL FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

Colloids; rheology; suspensions

Indexed keywords

ASPECT RATIO; COLLOIDS; ELECTROSTATICS; EPOXY RESINS; FIBERS; FRICTION; RHEOLOGY; SHEAR FLOW; SHEAR STRESS; SOLS; SUSPENSIONS (FLUIDS); VAN DER WAALS FORCES; VOLUME FRACTION;

COLLOIDAL INTERACTION; ELECTROSTATIC REPULSION; FIRST NORMAL STRESS DIFFERENCE; PARTICLE ASPECT RATIOS; PARTICLE VOLUME FRACTIONS; POWER LAW EXPONENT; QUADRATIC DEPENDENCE; VAN DER WAALS INTERACTIONS;

YIELD STRESS;

COLLOID; FRICTION; POWER LAW; RHEOLOGY; SHEAR FLOW; SHEAR STRESS;

EID: 84981155247     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2016.475     Document Type: Article

References (50)

1. ABISSET-CHAVANNE, E., CHINESTA, F., FEREC, J., AUSIAS, G., KEUNINGS, R. 2015 On the multiscale description of dilute suspensions of non-Brownian rigid clusters composed of rods. J. Non-Newtonian Fluid Mech. 222, 34-44.
2. ABISSET-CHAVANNE, E., MEZHER, R., LE CORRE, S., AMMAR, A., CHINESTA, F. 2013 Kinetic theory microstructure modelling in concentrated suspensions. Entropy 15, 2805-2832.
3. ALLAOUI, A., BAI, S., CHENG, H. M., BAI, J. B. 2002 Mechanical and electrical properties of a MWNT/epoxy composite. Compos. Sci. Technol. 62, 1993-1998.
4. BARNES, H. A. 1999 The yield stress-a review or everything flows? J. Non-Newtonian Fluid Mech. 81, 133-178.
5. BATCHELOR, G. K. 1970 Slender-body theory for particles of arbitrary cross-section in Stokes flow. J. Fluid Mech. 44, 419-440.
6. BENNINGTON, C. P. J., KEREKES, R. J., GRACE, J. R. 1990 The yield stress of fibre suspensions. Can. J. Chem. Engng 68, 748-757.
7. BERGSTRÖM, L. 1998 Shear thinning and shear thickening of concentrated ceramic suspensions. Colloids Surf. A 133, 151-155.
8. BRENNER, H. 1974 Rheology of a dilute suspension of axisymmetric Brownian particles. Intl J. Multiphase Flow 1, 195-341.
9. BRENNER, S. L., PARSEGIAN, V. A. 1974 A physical method for deriving the electrostatic interaction between rod-like polyions at all mutual angles. Biophys. J. 14, 327-334.
10. CHAOUCHE, M., KOCH, D. L. 2001 Rheology of non-Brownian rigid fibre suspensions with adhesive contacts. J. Rheol. 45, 369-382.
11. CHRISTENSEN, R. M. 1991 Mechanics of Composite Materials. Krieger Publishing Company.
12. CUI, H., GRACE, J. R. 2007 Flow of pulp fibre suspension and slurries: a review. Intl J. Multiphase Flow 33, 921-934.
13. DJALILI-MOGHADDAM, M., TOLL, S. 2005 A model for short-range interactions in fibre suspensions. J. Non-Newtonian Fluid Mech. 132, 73-83.
14. DOI, M., EDWARDS, S. F. 1986 The Theory of Polymer Dynamics. Oxford University Press.
15. FAN, Z., ADVANI, S. G. 2007 Rheology of multiwall carbon nanotube suspensions. J. Rheol. 51, 585-604.
16. FÉREC, J., AUSIAS, G. 2015 Rheological modelling of non-dilute rod suspensions. In Rheology of Non-Spherical Particle Suspensions (ed. F. Chinesta & G. Ausias), pp. 77-118. Elsevier.
17. FÉREC, J., AUSIAS, G., HEUZEY, M. C., CARREAU, P. J. 2009 Modelling fibre interactions in semiconcentrated fibre suspensions. J. Rheol. 53, 49-72.
18. FÉREC, J., PERROT, A., AUSIAS, G. 2015 Toward modelling anisotropic yield stress and consistency induced by fibre in fibre-reinforced viscoplastic fluids. J. Non-Newtonian Fluid Mech. 220, 69-76.
19. FOLGAR, F., TUCKER, C. L. 1984 Orientation behaviour of fibres in concentrated suspensions. J. Reinf. Plast. Compos. 3, 98-119.
20. GROSSBERG, A. YU., KHOKHLOV, A. R. 1981 Statistical theory of polymeric lyotropic liquid crystals. Adv. Polym. Sci. 41, 53-97.
21. HINCH, E. J., LEAL, L. G. 1972 The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles. J. Fluid Mech. 52, 683-712.
22. HOBBIE, E. K. 2010 Shear rheology of carbon nanotube suspensions. Rheol. Acta 49, 323-334.
23. JEFFERY, G. B. 1922 The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. Lond. A 102, 161-179.
24. KHALKHAL, F., CARREAU, P. J., AUSIAS, G. 2011 Effect of flow history on linear viscoelastic properties and the evolution of the structure of multiwalled carbon nanotube suspensions in an epoxy. J. Rheol. 55, 153-175.
25. LANDAU, L. D., LIFSHITZ, E. M. 1987 Course of Theoretical Physics, Vol. 6: Fluid Mechanics, 2nd edn. Pergamon.
26. LARSON, R. G. 1999 The Structure and Rheology of Complex Fluids. Oxford University Press.
27. LEAL, L. G., HINCH, E. J. 1971 The effect of weak Brownian rotations on particles in shear flow. J. Fluid Mech. 46, 685-703.
28. MA, W. K. A., CHINESTA, F., AMMAR, A., MACKLEY, M. R. 2008 Rheological modelling of carbon nanotube aggregate suspensions. J. Rheol. 52, 1311-1330.
29. MICHOT, L. J., BARAVIAN, C., BIHANNIC, I., MADDI, S., MOYNE, C., DUVAL, J. F., LEVITZ, P., DAVIDSON, P. 2008 Sol-gel and isotropic/nematic transitions in aqueous suspensions of natural nontronite clay. Influence of particle anisotropy. 2. Gel structure and mechanical properties. Langmuir 25, 127-139.
30. MONGRUEL, A., CLOITRE, M. 1999 Shear viscosity of suspensions of aligned non-Brownian fibres. Rheol. Acta 38, 451-457.
31. MUELLER, S., LLEWELLIN, E. W., MADER, H. M. 2010 The rheology of suspensions of solid particles. Proc. R. Soc. Lond. A 466, 1201-1228.
32. NATALE, G., HEUZEY, M. C., CARREAU, P. J., AUSIAS, G., FÉREC, J. 2014 Rheological modelling of carbon nanotube suspensions with rod-rod interactions. AIChE J. 60, 1476-1487.
33. NATALE, G., REDDY, N. K., AUSIAS, G., FÉREC, J., HEUZEY, M. C., CARREAU, P. J. 2015 Rheo-optical response of carbon nanotube suspensions. J. Rheol. 59, 499-524.
34. PETRICH, M. P., KOCH, D. L. 1998 Interactions between contacting fibres. Phys. Fluids 10, 2111-2113.
35. PETRIE, C. J. 1999 The rheology of fibre suspensions. J. Non-Newtonian Fluid Mech. 87, 369-402.
36. POKROVSKIY, V. N. 1978 Statistical Mechanics of Diluted Suspensions. Nauka (in Russian).
37. RAHATEKAR, S. S., KOZIOL, K. K., KLINE, S. R., HOBBIE, E. K., GILMAN, J. W., WINDLE, A. H. 2009 Length-dependent mechanics of carbon-nanotube networks. Adv. Mater. 21, 874-878.
38. RAHATEKAR, S. S., KOZIOL, K. K. K., BUTLER, S. A., ELLIOTT, J. A., SHAFFER, M. S. P., MACKLEY, M. R., WINDLE, A. H. 2006 Optical microstructure and viscosity enhancement for an epoxy resin matrix containing multiwall carbon nanotubes. J. Rheol. 50, 599-610.
39. RUSSELL, W. B., SAVILLE, D. A., SCHOWALTER, W. R. 1989 Colloidal Dispersions. Cambridge University Press.
40. SAARINEN, T., HAAVISTO, S., SORVARI, A., SALMELA, J., SEPPÄLÄ, J. 2014 The effect of wall depletion on the rheology of microfibrillated cellulose water suspensions by optical coherence tomography. Cellulose 21, 1261-1275.
41. SCHMID, C. F., KLINGENBERG, D. J. 2000 Mechanical flocculation in flowing fiber suspensions. Phys. Rev. Lett. 84, 290-293.
42. SERVAIS, C., MÅNSON, J. A. E., TOLL, S. 1999 Fibre-fibre interaction in concentrated suspensions: disperse fibres. J. Rheol. 43, 991-1004.
43. SOLOMON, M. J., BOGER, D. V. 1998 The rheology of aqueous dispersions of spindle-type colloidal hematite rods. J. Rheol. 42, 929-949.
44. SONG, Y. S., YOUN, J. R. 2005 Influence of dispersion states of carbon nanotubes on physical properties of epoxy nanocomposites. Carbon 43, 1378-1385.
45. SWITZER, L. H., KLINGENBERG, D. J. 2004 Flocculation in simulations of sheared fibre suspensions. Intl J. Multiphase Flow 30, 67-87.
46. TOLL, S., MÅNSON, J. A. E. 1994 Dynamics of a planar concentrated fibre suspension with non-hydrodynamic interaction. J. Rheol. 38, 985-997.
47. VAN DER SCHOOT, P., ODIJK, T. 1992 Statistical theory and structure factor of a semidilute solution of rodlike macromolecules interacting by van der Waals forces. J. Chem. Phys. 97, 515-524.
48. WIERENGA, A., PHILIPSE, A. P., LEKKERKERKER, H. N., BOGER, D. V. 1998 Aqueous dispersions of colloidal boehmite: structure, dynamics, yield stress of rod gels. Langmuir 14, 55-65.
49. WOLF, B., WHITE, D., MELROSE, J. R., FRITH, W. J. 2007 On the behaviour of gelled fibre suspensions in steady shear. Rheol. Acta 46, 531-537.
50. YAMANE, Y., KANEDA, Y., DOI, M. 1994 Numerical simulations of semi-dilute suspensions of rodlike particles in shear flow. J. Non-Newtonian Fluid Mech. 54, 405-421.