Normal stress differences behavior of polymeric particle suspension in shear flow

Journal of Rheology

Volumn 58, Issue 1, 2014, Pages 223-235

  Lin, Yuan ^a   Phan Thien, Nhan ^a   Cheong Khoo, Boo ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Normal stress differences; Polymeric suspension; Relaxation time

Indexed keywords

FIRST NORMAL STRESS DIFFERENCE; HIGH VOLUME FRACTION; NORMAL STRESS DIFFERENCE; PARTICLE MICROSTRUCTURE; POLYMERIC PARTICLES; POLYMERIC SUSPENSIONS; RELAXATION BEHAVIORS; RELAXATION SPECTRUM;

MICROSTRUCTURE; RELAXATION TIME; SHEAR FLOW;

SUSPENSIONS (FLUIDS);

EID: 84891750456     PISSN: 01486055     EISSN: 15208516     Source Type: Journal    
DOI: 10.1122/1.4855496     Document Type: Article

References (31)

1. Aral, B. K., and D. M. Kalyon, " Viscoelastic material functions of noncolloidal suspensions with spherical particles.," J. Rheol. 41, 599-620 (1997). 10.1122/1.550841 (Pubitemid 127578971)
2. Bird, R. B., C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Volume 2, Kinetic Theory (Wiley, New York, 1987b).
3. Bird, R. B., R. C., Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Volume 1, Fluid Mechanics (Wiley, New York, 1987a).
4. Brady, J. F., and J. F. Morris, " Microstructure of strongly sheared suspensions and its impact on rheology and diffusion.," J. Fluid Mech. 348, 103-139 (1997). 10.1017/S0022112097006320 (Pubitemid 127474225)
5. Dai, S. C., E. Bertevas, F. Z. Qi, and R. I. Tanner, " Viscometric functions for noncolloidal sphere suspensions with Newtonian matrices.," J. Rheol. 57, 493-510 (2013). 10.1122/1.4774325
6. D'Avino, G., M. A. Hulsen, F. Snijkers, J. Vermant, F. Greco, and P. L. Maffettone, " Rotation of a sphere in a viscoelastic liquid subjected to shear flow. Part I: Simulation results.," J. Rheol. 52, 1331-1346 (2008). 10.1122/1.2998219
7. Foss, D. R., and J. F. Brady, " Structure, diffusion and rheology of Brownian suspensions by stokesian dynamics simulation.," J. Fluid Mech. 407, 167-200 (2000). 10.1017/S0022112099007557
8. Gauthier, F., H. L. Goldsmith, and S. G. Mason, " Particle motions in non-Newtonian media.," Rheol. Acta 10, 344-364 (1971a). 10.1007/BF01993709
9. Gauthier, F., H. L. Goldsmith, and S. G. Mason, " Particle motions in non-Newtonian media. II. poiseuille.," J. Rheol. 15, 297-330 (1971b). 10.1122/1.549212
10. Haleem, B. A., and P. R. Nott, " Rheology of particle-loaded semi-dilute polymer solutions.," J. Rheol. 53, 383-400 (2009). 10.1122/1.3073753
11. Ladd, A. J. C., " Hydrodynamic transport-coefficients of random dispersions of hard-spheres.," J. Chem. Phys. 93, 3484-3494 (1990). 10.1063/1.458830
12. Li, Y. J., D. S. Wei, C. C. Han, and Q. Liao, " Dynamics of polymer melts confined by smooth walls: Crossover from nonentangled region to entangled region.," J. Chem. Phys. 126, 204907 (2007). 10.1063/1.2737044 (Pubitemid 46872211)
13. Lin, Y., N. Phan-Thien, and B. C. Khoo, " Short-term and long-term irreversibility in particle suspensions undergoing small and large amplitude oscillatory stress.," J. Rheol. 57, 1325-1346 (2013). 10.1122/1.4815979
14. Lyon, M. K., D. W. Mead, R. E. Elliott, and L. G. Leal, " Structure formation in moderately concentrated viscoelastic suspensions in simple shear flow.," J. Rheol. 45, 881-890 (2001). 10.1122/1.1381008 (Pubitemid 32651254)
15. Mall-Gleissle, S. E., W. Gleissle, G. H. McKinley, and H. Buggisch, " The normal stress behaviour of suspensions with viscoelastic matrix fluids.," Rheol. Acta 41, 61-76 (2002). 10.1007/s003970200006
16. Martin, J., M. Krutyeva, M. Monkenbusch, A. Arbe, J. Allgaier, A. Radulescu, P. Falus, J. Maiz, C. Mijangos, J. Colmenero, and D. Richter, " Direct observation of confined single chain dynamics by neutron scattering.," Phys. Rev. Lett. 104, 197801 (2010). 10.1103/PhysRevLett.104. 197801
17. Michele, J., R. Patzold, and R. Donis, " Alignment and aggregation effects in suspensions of spheres in non-Newtonian media.," Rheologica Acta 16, 317-321 (1977). 10.1007/BF01523742
18. Nusser, K., G. J. Schneider, and D. Richter, " Microscopic origin of the terminal relaxation time in polymer nanocomposites: An experimental precedent.," Soft Matter 7, 7988-7991 (2011). 10.1039/c1sm05555k
19. Ohl, N., and W. Gleissle, " The characterization of the steady-state shear and normal stress functions of highly concentrated suspensions formulated with viscoelastic liquids.," J. Rheol. 37, 381-406 (1993). 10.1122/1.550449
20. Schneider, G. J., K. Nusser, L. Willner, P. Falus, and D. Richter, " Dynamics of entangled chains in polymer nanocomposites.," Macromolecules 44, 5857-5860 (2011). 10.1021/ma200899y
21. Scirocco, R., J. Vermant, and J. Mewis, " Effect of the viscoelasticity of the suspending fluid on structure formation in suspensions.," J. Non-Newtonian Fluid Mech. 117, 183-192 (2004). 10.1016/j.jnnfm.2004.01.010 (Pubitemid 38549670)
22. See, H., P. Jiang, and N. Phan-Thien, " Concentration dependence of the linear viscoelastic properties of particle suspensions.," Rheol. Acta 39, 131-137 (2000). 10.1007/s003970050013
23. Shin, K., S. Obukhov, J. T. Chen, J. Huh, Y. Hwang, S. Mok, P. Dobriyal, P. Thiyagarajan, and T. P. Russell, " Enhanced mobility of confined polymers.," Nature Mater. 6, 961-965 (2007). 10.1038/nmat2031 (Pubitemid 350210572)
24. Si, L., M. V. Massa, K. Dalnoki-Veress, H. R. Brown, and R. A. L. Jones, " Chain entanglement in thin freestanding polymer films.," Phys. Rev. Lett. 94, 127801 (2005). 10.1103/PhysRevLett.94.127801 (Pubitemid 40620579)
25. Snijkers, F., G. D'Avino, P. L. Maffettone, F. Greco, M. Hulsen, and J. Vermant, " Rotation of a sphere in a viscoelastic liquid subjected to shear flow. Part II. Experimental results.," J. Rheol. 53, 459-480 (2009). 10.1122/1.3073052
26. Snijkers, F., R. Pasquino, and J. Vermant, " Hydrodynamic interactions between two equally sized spheres in viscoelastic fluids in shear flow.," Langmuir 29, 5701-5713 (2013). 10.1021/la4006604
27. Tanner, R. I., and F. Z. Qi, " A phenomenological approach to suspensions with viscoelastic matrices.," Korea-Aust. Rheol. J. 17, 149-156 (2005). (Pubitemid 43030263)
28. Tanner, R. I., F. Z. Qi, and K. D. Housiadas, " A differential model for the rheological properties of concentrated suspensions with weakly viscoelastic matrices.," Rheol. Acta 49, 169-176 (2010). 10.1007/s00397-009-0404-6
29. Torquato, S., B. Lu, and J. Rubinstein, " Nearest-neighbor distribution-functions in many-body systems.," Phys. Rev. A 41, 2059-2075 (1990). 10.1103/PhysRevA.41.2059
30. Zarraga, I. E., D. A. Hill, and D. T. Leighton, " The characterization of the total stress of concentrated suspensions of noncolloidal spheres in Newtonian fluids.," J. Rheol. 44, 185-220 (2000). 10.1122/1.551083
31. Zarraga, I. E., D. A. Hill, and D. T. Leighton, " Normal stresses and free surface deformation in concentrated suspensions of noncolloidal spheres in a viscoelastic fluid.," J. Rheol. 45, 1065-1084 (2001). 10.1122/1.1396356 (Pubitemid 33038917)