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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
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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

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