New Formulas For The Motion Resistance Of
Debris Flows
Author(s)
D. Berzi, J. T. Jenkins & E. Larcan
Abstract
We simplify a two-phase theory proposed by Berzi and Jenkins for the uniform
motion of a granular-fluid mixture to obtain explicit, analytical relations between
the tangent of the angle of inclination of the free surface, the average particle
(fluid) velocity and the particle (fluid) depth. Those expressions, valid, in
principle, only in uniform flow conditions, can then be employed to express the
motion resistance for the particles and the fluid in mathematical models of
non-uniform flow, as customary in Hydraulics. The advantages of those formulas
with regard to previous, widely employed expressions are also discussed.
Keywords: rheology, uniform flow, friction slope.
1 Introduction
Recently, Berzi and Jenkins [1–3] proposed a simple theory based on a linear
rheology for the particle interactions, turbulent shearing of the fluid, buoyancy,
and drag. They provided a complete analytical description of the steady, uniform
flow of a granular-fluid mixture (debris flow) over an inclined bed contained
between frictional sidewalls. In order to obtain such analytical solution, they
assumed a constant concentration in the particle-fluid mixture and the similarity
of the particle and fluid velocity profiles. The predictions of this description
compared favourably with the measurements in experiments on steady, uniform
granular-fluid flows performed by Armanini et al. [4] and Larcher et al. [5] on
mono-dispersed plastic cylinders and water. As seen in the experiments, the
particle and fluid velocity distributions, the flow depths, and the free surface
Keywords
rheology, uniform flow, friction slope
Related Book
Other papers in this volume
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