An Application Of The Hanks Stability
Parameter For The Macroviscous-inertial
Transition In The Surface Flow Of A Neutrally
Buoyant Suspension
Author(s)
D. Berzi & E. Larcan
Abstract
This paper focuses on the evaluation of the regime transition in the surface flow
of a neutrally buoyant suspension. The revisiting of the 1954 Bagnold paper
made by Hunt et al. (2002) showed that the choice of the non-dimensional
parameter afterwards known as Bagnold number for evaluating the transition
between macroviscous and grain-inertial regime is at least doubtful. Here, a
different approach, based on the universal stability parameter of Hanks
(1963a, b), is proposed. The application of this transition criterion to the case of
the incompressible uniform surface flow of a liquid-solid mixture shows that the
Reynolds number is the parameter that really controls the transition between the
flow regimes. The critical value of the Reynolds number is a function of the solid
volume fraction of the mixture. This value is derived assuming that the critical
value of the Hanks stability parameter does not change when referring to the
ensemble averaged momentum equations of the continuous phase rather than to
the classical Navier-Stokes equations. The present analysis shows that highly
concentrated neutrally buoyant suspensions can be characterized by the
macroviscous regime even if the Reynolds number is not small, up to an order of
10 5 . Thus, one should pay attention in applying at real scale laws obtained
through experiments performed at laboratory scale.
Keywords: neutrally buoyant suspension, transition, stability parameter, uniform
surface flow.
Keywords
neutrally buoyant suspension, transition, stability parameter, uniform
surface flow.
Related Book
Other papers in this volume
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