Fusion Engineering and Design 87 (2012) 556–560
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Fusion Engineering and Design
journal homepage: www.elsevier.com/locate/fusengdes
CFD analysis of flow boiling in the ITER first wall
Phani Domalapally
a,∗
, Enrico Rizzo
b
, Laura Savoldi Richard
a
, Fabio Subba
a
, Roberto Zanino
a
a
Dipartimento di Energetica, Politecnico, I-10129 Torino, Italy
b
Institut fuer Technische Physik, Karlsruhe Institute of Technology, Karlsruhe, Germany
article info
Article history:
Available online 23 February 2012
Keywords:
Boiling
First wall
Two phase flow
Computational Fluid Dynamics
abstract
This paper compares two Computational Fluid Dynamic (CFD) approaches for the analysis of flow boil-
ing inside the first wall (FW) of the International Thermonuclear Experimental Reactor (ITER): (1) the
Rohsenow model for nucleate boiling, seamlessly switching to the Volume of Fluid (VOF) approach for
film boiling, as available in the commercial CFD code STAR-CCM+, (2) the Bergles–Rohsenow (BR) model,
for which we developed a User Defined Function (UDF), implemented in the commercial code FLUENT.
The physics of both models is described, and the results with different inlet conditions and heating levels
are compared with experimental results obtained at the Efremov Institute, Russia. The performance of
both models is compared in terms of accuracy and computational cost.
© 2012 Elsevier B.V. All rights reserved.
1. Introduction
In ITER, the FW heat load during operations can be as high as
several MW/m
2
, which should be removed by a proper cooling sys-
tem to prevent damage of the component [1]. The proposed sink to
handle this load consists of copper alloy (CuCrZr) hypervapotron or
swirl tubes, which exploit the large heat transfer coefficient (HTC)
characteristic of highly sub-cooled boiling [2].
In order to predict the system performance, a dedicated thermal
hydraulic analysis has to be conducted, and several papers have
been devoted during the last few years to this task on different
geometries foreseen for the ITER first wall [3–7].
Here we test and compare two approaches, based respectively
on an enhancement of the Rohsenow model [8] and on the classical
Bergles–Rohsenow (BR) work [9]. The first model is available in
the commercial STAR-CCM+ code, including a smooth transition
to the VOF model for film boiling. We implemented the second in
the FLUENT code, specifically for this work. We then compared our
computed results with experimental data from Efremov Institute,
Russia [10].
Although our ultimate goal is to develop predictive capabilities
for the hypervapotron, we start by analyzing in some detail the
simpler case of a rectangular (so-called flat) channel, heated on one
side. This allows us concentrating on the details of the heat transfer
model performances. Preliminary results for the hypervapotron are
discussed at the end of the paper.
The layout of this work is as follows: in the next section we
discuss the system geometry and meshing issues. In Section 3 we
∗
Corresponding author.
E-mail address: phani.domalapally@polito.it (P. Domalapally).
describe the physical models. In Section 4 we present and discuss
our results, in terms of both accuracy and numerical performance.
To the best of our knowledge, this is the first time that the Rohsenow
and BR models are critically compared for an ITER-relevant applica-
tion. Also, we are not aware of an implementation of the BR model
in FLUENT so far and, indeed, previous applications of FLUENT to
ITER-relevant boiling problems met only limited success [6].
2. Geometry and mesh
Fig. 1 represents the experimental test section. It also shows
the location of a set of thermocouples inserted 1.5 mm below the
heated surface. Fig. 2 shows a cross-section highlighting the inner
dimensions of a flat channel. In the hypervapotron case, a number
of teeth are machined at the top of the fluid flow channel, along
with a side channel. The hypervapotron channel dimensions are
given in Fig. 3, showing cross and longitudinal sections. In both
cases, the top wall is heated over a length of 100 mm, the system
being otherwise thermally insulated.
For the flat-channel geometry, we tested a number of hexa-
hedral non-uniform meshes created with the commercial mesh
generator GAMBIT, ranging from 0.3 to 1.7 Mcells. We found a rela-
tive variation of the computed temperature of ∼12% (using the inlet
subcooling as the reference value) when the mesh size varied from
0.3 to 1.0 Mcells. This variation was reduced to ∼2% when the mesh
size went from 1 to 1.7 Mcells. Then, ∼1 Mcells are a good compro-
mise between reasonable grid-independence of the solution and
computational cost. This size of the mesh is also comparable to that
chosen in previously published works on the same subject [6,7]. For
the hypervapotron, we kept the same average cell size (∼0.5 mm),
but we used tetrahedral cells because of the more complex flow
0920-3796/$ – see front matter © 2012 Elsevier B.V. All rights reserved.
doi:10.1016/j.fusengdes.2012.01.024