Granular Matter (2011) 13:713–721
DOI 10.1007/s10035-011-0293-0
ORIGINAL PAPER
Numerical and experimental study of a spherical particle flow
in a cylindrical tube under vacuum conditions
Simon Vanmaercke · Engelbert Tijskens ·
Gert Van den Eynde · Yann Bartosiewicz
Received: 23 May 2011 / Published online: 1 November 2011
© Springer-Verlag 2011
Abstract The paper aims at developing a validated model
that can accurately predict the flow of a particulate material.
This model will serve as a virtual design tool for the design of
a novel passive safety system for nuclear reactors. Therefore
an experimental setup consisting of a vertical glass tube is
filled with 500 ± 30 μm spherical glass particles. The experi-
ment is then placed in a vacuum and the particles are released
by opening a valve. The velocity of the particles is recorded
during their fall at three different heights using a non invasive
optical tracking technique with an original implementation.
The same experiment is then simulated using the Discrete
Element Method and results are compared. A good agree-
ment between the simulation and the experiment was found.
The sensitivity of the simulation to a change in the contact
stiffness, dynamic Coulomb coefficient of friction and tan-
gential contact force model was investigated. The influence
of the initial position of the simulated particles on the packing
factor was shown to be very important. Finally the experi-
ment proved to be extremely sensitive to a perturbation of
the outflow section of the tube, something that was predicted
by the simulations.
Keywords Discrete Element Method · Vacuum ·
Pulsating flow · Validation · Sensitivity analysis
S. Vanmaercke (B ) · G. Van den Eynde
SCK.CEN, 200 Boeretang, 2400 Mol, Belgium
e-mail: svanmaer@sckcen.be
E. Tijskens
Katholieke Universiteit Leuven, 30 Kasteelpark Arenberg, 3001
Heverlee, Belgium
Y. Bartosiewicz
Université Catholique de Louvain, Institude of Mechanics, Materials
and Civil Engineering, 2 Place du Levant, 1348 Louvain-la-Neuve,
Belgium
1 Introduction
The flow of spherical particles in a cylindrical tube was
studied because of its possible use in a secondary safety shut-
down system of future nuclear reactors [1]. For this applica-
tion small neutron absorbing spheres are placed on top of
the actual reactor core and kept there during normal opera-
tion by means of a metallic seal. In case of an accident, the
temperature of the reactor will increase, leading to a melting
of the seal and releasing the absorber spheres into the active
core region. This is illustrated in Fig. 1 where several simula-
tion snapshots are shown during the melt of the metallic seal.
The neutron absorbing particles, have a very high melting
point, and therefore melt of the absorber particles is not con-
sidered.The absorber spheres will then absorb a significant
portion of the neutrons, and stop the chain reaction. For this
application complete understanding of the flow behavior is
crucial. Therefore a validated model that can accurately pre-
dict the flow of a particulate material is needed. This model
will serve as a virtual design tool for the design of a novel
passive safety system for nuclear reactors.
The absorber particle flow should be repeatable and robust
in order to have a highly reliable safety system. In a first
instance the particle flow is studied in detail without the inter-
action of the metallic seal, to fully validate the geometry and
the contact force model used in the simulations. In this work,
the DEM simulations are done using DEMeter [2]
1
, a general
purpose software for particle based simulations. Experiments
in air have initially been done both with “open top” tubes and
with closed tubes. Because both results were drastically dif-
ferent it was clear that the air resistance is not a negligible
parameter for this simulation. Therefore experiments have
been conducted in vacuum to exclude the influence of air
1
http://dem-research-group.com.
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