D. Chatzikyriakou
e-mail: d.chatzikiriakou@imperial.ac.uk
S. P. Walker
B. Belhouachi
Department of Mechanical Engineering,
Imperial College London,
Exhibition Road,
London SW7 2AZ, UK
C. Narayanan
D. Lakehal
ASCOMP GmbH,
Technoparkstrasse 1,
8005 Zurich, Switzerland
G. F. Hewitt
Department of Chemical Engineering and
Chemical Technology,
Imperial College,
Prince Consort Road,
London SW7 2BY, UK
Three Dimensional Modeling of
the Hydrodynamics of Oblique
Droplet-Hot Wall Interactions
During the Reflood Phase After a
LOCA
During the reflood phase, following a loss-of-coolant-accident (LOCA), the main mecha-
nism for the precursory cooling of the fuel is by convective heat transfer to the vapor,
with the vapor being cooled by the evaporation of the entrained saturated droplets.
However, it is believed that the droplets that reach the rod could have an effect on this
cooling process. Despite the fact that those droplets do not actually wet the fuel rod due
to the formation of a vapor film that sustains them and prevents them from touching the
wall, the temperature drop caused by the impingement of such water droplets on a very
hot solid surface (whose temperature is beyond the Leidenfrost temperature (1966, “A
Track About Some Qualities of Common Water,” Int. J. Heat Mass Transfer, 9, pp.
1153–1166)) is of the order of 30–150°C (2008, The Role of Entrained Droplets in
Precursory Cooling During PWR Post-LOCA Reflood, TOPSAFE, Dubrovnik, Croatia,
1995, “Heat Transfer During Liquid Contact on Superheated Surfaces,” ASME J. Heat
Transfer, 117, pp. 693–697). The associated heat flux is of the order of 10
5
–10
7
W / m
2
and the heat extracted is in the range of 0.05 J over the time period of the interaction (a
few ms) (2008, The Role of Entrained Droplets in Precursory Cooling During PWR
Post-LOCA Reflood, TOPSAFE, Dubrovnik, Croatia, 1995, “Heat Transfer During Liq-
uid Contact on Superheated Surfaces,” ASME J. Heat Transfer, 117, pp. 693–697). The
hydrodynamic behavior of the droplets upon impingement is reported to affect the heat
transfer effectiveness of the droplets. In the dispersed flow regime the droplets are more
likely to impinge on the hot surface at a very small angle sliding along the solid wall, still
without actually touching it, and remaining in a close proximity for a much larger time
period. This changes the heat transfer behavior of the droplet. Here, we investigate
numerically the hydrodynamics of the impingement of such droplets on a hot solid surface
at various incident angles and various velocities of approach. For our simulations, we
use a computational fluid dynamics (CFD), finite-volume computational algorithm
(TransAT
©
). The level set method is used for the tracking of the interface. We present
three-dimensional results of those impinging droplets. The validation of our simulation is
done against experimental data already available in the literature. Then, we compare the
findings of those results with previous correlations. DOI: 10.1115/1.4000867
1 Introduction
The phenomenon of the impingement of liquid droplets onto
superheated surfaces is of great importance in many industrial
applications. One occasion when the cooling of a hot surface by
impingement of water droplets is important is the recovery pro-
cess “reflood” following a postulated loss-of-coolant-accident
LOCA in a pressurized water nuclear reactor PWR. Then, the
fuel elements have risen in temperature 600–900°C. Water is
introduced from the bottom emergency core cooling system and
a two-phase mixture of water and vapor starts rising up the fuel
rods. Above this rewetting front, liquid is present in the form of a
liquid core, swept upwards by the vapor flow, which breaks up in
a complex way to form drops. Cooling of the fuel by this droplet-
steam mixture above the rewetting front “precursory cooling” is
vitally important in the reflood process. In this region, the condi-
tions are characterized by the flow of superheated vapor between
even hotter metal surfaces, with a population of small droplets
entrained in the vapor flow. It is important to understand the
mechanisms by which droplets interact with hot surfaces, and this
is the focus of the work described here.
Ultimately, the question that both this and the subsequent stud-
ies would like to answer is whether those droplets could provide a
significant augmentation of the cooling process. More specifically,
when a droplet bounces from a hot solid surface, heat is trans-
ferred from the solid to the liquid and vapor phases. This both
increases the droplet mean temperature if it is subcooled and
evaporates liquid from the droplet. If the heat transfer rate is large
enough during the impact, liquid vaporized from the droplet forms
a vapor layer between the liquid and the solid surface 1, which
prevents direct contact of the droplet with the surface. In this case,
heat transfer is obstructed significantly.
In the dispersed flow regime characterizing reflood, the droplets
are likely to impinge on the hot surface at a very small angle,
sliding along the solid wall, still without actually touching it, and
remaining in a close proximity for a much larger time period than
in the case of a perpendicular approach.
The processes accompanying the interaction of a droplet with a
Contributed by the Nuclear Division of ASME for publication in the JOURNAL OF
ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received July 29, 2009; final
manuscript received August 4, 2009; published online July 7, 2010. Editor: Dilip R.
Ballal.
Journal of Engineering for Gas Turbines and Power OCTOBER 2010, Vol. 132 / 102914-1
Copyright © 2010 by ASME
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