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Nuclear Engineering and Design
journal homepage: www.elsevier.com/locate/nucengdes
Droplets entrainment ratio in a PWR hot-leg pipe geometry
Suleiman Al Issa
⁎
, Rafael Macian-Juan
Technische Universität München (TUM), Department of Nuclear Engineering, Boltzmannstrasse 15, 85748 Garching, Germany
ARTICLE INFO
Keywords:
PWR
Hot-leg
CCFL mechanisms
Droplets entrainment ratio
Empirical correlation
CFD validation data
ABSTRACT
Droplets entrainment was found to contribute to the occurrence of countercurrent flow limitation (CCFL) at
COLLIDER test facility which has a PWR hot-leg pipe geometry with a large diameter value of 190 mm. Previous
investigations showed that droplets entrainment starts to become observable at medium water inlet velocities (In
Wallis parameters >
∗
J 0.2
w in ,
0.5
). In current article, the occurrence of droplets entrainment at COLLIDER test fa-
cility is discussed along with a detailed descriptions of visual observations that corresponds to entrainment
mechanisms at the junction between the hot-leg and the steam generator. These mechanisms are compared to
typical mechanisms found in literature for annular flows. The significance of COLLIDER large-diameter and pipe
geometry against rectangular and narrow channel geometry is explained. Experimental measurements of the
droplet entrainment ratio at COLLIDER test facility (using air/water at atmospheric pressure) are introduced and
discussed. Measurements cover a range of air superficial velocities between 10.6 and 15.2 m/s, and water su-
perficial velocities between 0.05 and 0.12 m/s. A correlation of the critical air velocity at which the droplets
entrainment start to occur is given. An empirical correlation of the entrainment ratio was developed for obtained
data. The correlation shows a stronger dependency upon the water inlet velocity in comparison to correlations
found in literature for annular flows. A comparison between the prediction of available entrainment ratio cor-
relations in literature and COLLIDER experimental data is made. The comparison shows the need of a new
correlation for the droplets entrainment that takes place at the entrance of a hot-leg pipe geometry. The obtained
correlations are useful to predict the onset of entrainment and to quantify its possible contribution to the re-
duction of water delivery into the reactor core during the occurrence of an SBLOCA accident. The last result
becomes of a special importance knowing that CCFL caused by droplets entrainment occurs at lower air velo-
cities than those at which a typical CCFL occurs (caused by large roll-waves at the bend), and that droplets
entrainment does not require a transition from a supercritical into a subcritical flow condition in order to take
place.
1. Introduction
1.1. Droplets entrainment phenomena and its importance
Droplets entrainment is a phenomenon of a high importance for
annular and annular-churn two-phase flows in vertical and horizontal
pipes (Ryua and Park, 2011; Berna et al., 2014; Lopez de Bertodano
et al., 2001; Zhang et al., 2015; Barbosa et al., 2002). Churn flow in
particular is a highly turbulent flow condition that is s characterized by
the presence of a thick, oscillating, and unstable liquid film, and is still
one of the least understood of gas/liquid two-phase flow regimes (Wang
et al., 2013). Entrained droplets contribute significantly to heat, mass,
and momentum transfer (pressure drop) at the gas liquid interface. The
accurate prediction of the entrainment fraction is important for many
industrial applications such as: boilers, evaporators, condensers of
conventional power generating plants, pressurized water reactors
(PWRs) during loss of coolant accidents (LOCA), boiling water reactors
(BWRs) during normal operation, geothermal, and oil and gas industry
(Ryua and Park, 2011; Okawa and Kataoka, 2005; Patruno et al., 2009).
The presence of droplets in the gas phase can produce erosion to the
equipment as separators may not be sufficient to remove droplets
completely and new droplets can be entrained from the existing liquid
film beyond the separator. It also an important phenomenon for the
estimation and analysis of dryout and post dryout heat transfer, and the
depletion of liquid film which is considered as a good approximation to
the onset of critical heat flux condition in light water reactors (Ryua
and Park, 2011; Sawant et al., 2009). During LOCA accidental condi-
tions in PWRs (AP1000 design), droplets entrainment can transfer li-
quid from the upper plenum through the reactor internals and the hot-
leg into the containment through the ADS-4 branch line (Sun et al.,
2015). Consequently, the prediction of entrainment fraction become of
a particular interest for emergency core cooling systems and safety of
https://doi.org/10.1016/j.nucengdes.2018.01.010
Received 24 August 2017; Received in revised form 28 December 2017; Accepted 3 January 2018
⁎
Corresponding author.
E-mail addresses: salissa.email@gmail.com, issa@ntech.mw.tum.de (S. Al Issa), macian@ntech.mw.tum.de (R. Macian-Juan).
Nuclear Engineering and Design 330 (2018) 1–13
Available online 20 February 2018
0029-5493/ © 2018 Elsevier B.V. All rights reserved.
T