Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-19T00:47:42.338Z Has data issue: false hasContentIssue false
  • English
  • Français

Observations of fibre orientation in simple shear flow of semi-dilute suspensions

Published online by Cambridge University Press:  26 April 2006

Carl A. Stover ,
Donald L. Koch  and
Claude Cohen
Carl A. Stover
Affiliation:
School of Chemical Engineering, Cornell University. Ithaca. NY 14853, USA
Donald L. Koch
Affiliation:
School of Chemical Engineering, Cornell University. Ithaca. NY 14853, USA
Claude Cohen
Affiliation:
School of Chemical Engineering, Cornell University. Ithaca. NY 14853, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The orientations of fibres in a semi-dilute, index-of-refraction-matched suspension in a Newtonian fluid were observed in a cylindrical Couette device. Even at the highest concentration (nL3 = 45), the particles rotated around the vorticity axis, spending most of their time nearly aligned in the flow direction as they would do in a Jeffery orbit. The measured orbit-constant distributions were quite different from the dilute orbit-constant distributions measured by Anczurowski & Mason (1967b) and were described well by an anisotropic, weak rotary diffusion. The measured ϕ-distributions were found to be similar to Jeffery's solution. Here, ϕ is the meridian angle in the flow-gradient plane. The shear viscosities measured by Bibbo (1987) compared well with the values predicted by Shaqfeh & Fredrickson's theory (1990) using moments of the orientation distribution measured here.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 238 , May 1992 , pp. 277 - 296
Copyright
© 1992 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anczurowski, E., Cox, R. G. & Mason, S. G. 1967 J. Colloid Interface Sci. 23, 547.
Anczurowski, E. & Mason, S. G. 1967a J. Colloid Interface Sci. 23, 522.
Anczurowski, E. & Mason, S. G. 1967b J. Colloid Interface Sci. 23, 533.
Batchelor, G. K. 1971 J. Fluid Mech. 46, 813.
Bibbo, M. A. 1987 Rheology of semi-concentrated fiber suspensions. Ph.D. thesis. Department of Chemical Engineering, Massachusetts Institute of Technology.
Bretherton, F. P. 1962 J. Fluid Mech. 14, 284.
Burgers, J. M. 1938 Second Report on Viscosity and Plasticity, chapter 3. Kon. Ned. Akad. Wet. Verhand. (Eerste Sectie) 16, 113.
Cates, M. E. & Edwards, S. F. 1984 Proc. R. Soc. Lond. A 395, 89.
Cohen, C. & Leal, L. G. 1978 J. Chem. Phys. 68, 5348.
Evans, J. G. 1975 The flow of a suspension of force-free rigid rods in a Newtonian fluid. Ph.D. thesis, Department of Applied Mathematics and Theoretical Physics, Cambridge University.
Folgar, F. & Tucker, C. L. 1984 J. Reinf. Plastics Composites 3, 98.
Frattini, P. L., Shaqfeh, E. S. G., Levy, J. L. & Koch, D. L. 1991 Phys. Fluids A 3, 2516.
Ganani, E. & Powell, R. L. 1986 J. Rheol. 30, 995.
Jeffery, G. B. 1922 Proc. R. Soc. Lond. A 102, 161.
Karnis, A., Goldsmith, H. L. & Mason, S. G. 1966 Can. J. Chem. Engng 44, 181.
Koch, D. L. 1989 Phys. Fluids A 1, 1742.
Koch, D. L. & Shaqfeh, E. S. G. 1990 Phys. Fluids A 2, 2093.
Leal, L. G. & Hinch, E. J. 1971 J. Fluid Mech. 46, 685.
Mewis, J. & Metzner, A. B. 1974 J. Fluid Mech. 62, 593.
Rahnama, M., Koch, D. L. & Shaqfeh, E. S. G. 1992 The effect of particle interactions on fiber orientation in simple shear flow of dilute and semi-dilute suspensions. Phys. Fluids A (to be submitted).Google Scholar
Rallison, J. M. & Leal, L. G. 1981 J. Chem. Phys. 74, 4819.
Shaqfeh, E. S. G. 1988 Phys. Fluids 31, 2405.
Shaqfeh, E. S. G. & Fredrickson, G. H. 1990 Phys. Fluids A 2, 7.
Shaqfeh, E. S. G. & Koch, D. L. 1988 Phys. Fluids 31, 728.
Shaqfeh, E. S. G. & Koch, D. L. 1990 Phys. Fluids A 2, 1077.
Stasiak, W. & Cohen, C. 1983 J. Chem. Phys. 79, 5718.
Stover, C. A. 1991 The dynamics of fibers suspended in shear flows. Ph.D. thesis, School of Chemical Engineering, Cornell University.
Stover, C. A. & Cohen, C. 1990 Rheol. Acta 29, 192.
Trevelyan, B. J. & Mason, S. G. 1951 J. Colloid Sci. 6, 354.