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Stability of Taylor-Dean flow of fiber suspensions

Nsom B.

Applied Mechanics and Engineering

1998

Vol. 3, no 2

185-204

We present a theoretical study of the stability of the Taylor-Dean flow of dilute and semi concentrated suspensions of stiff fibers. To this end, we consider a wide-gap Couette-Taylor configuration with pressure gradient acting in the transverse direction. The Ericksen anisotropic fluid equation of state is used to describe the suspension rheological behavior. The marginal stability states are computed with respect to three parameters: the gap-width, the ratio of representative pumping and rotation velocities and the rheological parameter h2 (h2 being an explicit function of the fiber aspect ratio (dilute suspension), concentration and number density (semi concentrated suspension)).