Nuclear Engineering and Design 241 (2011) 3898–3909
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Nuclear Engineering and Design
jo u r n al hom epage : www.elsevier.com/locate/nucengdes
Pressure drop modeling and comparisons with experiments for single- and
two-phase sodium flow
A. Chenu
a,b,∗
, K. Mikityuk
a
, R. Chawla
a,b
a
Paul Scherrer Institute (PSI), 5232 Villigen PSI, Switzerland
b
Ecole Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland
a r t i c l e i n f o
Article history:
Received 21 May 2010
Received in revised form 16 June 2011
Accepted 5 July 2011
a b s t r a c t
The thermal-hydraulic code TRACE is currently being extended at the Paul Scherrer Institute (PSI) for
enabling the study of sodium-cooled fast reactor (SFR) core behavior during transients in which boiling
is anticipated. An accurate prediction of pressure losses across fuel bundles – under both single- and two-
phase sodium flow conditions – is necessary in this context. The present paper addresses the assessment,
and implementation in TRACE, of appropriate friction factor models for round tubes and wire-wrapped
fuel bundles, as well as local pressure drop models for grid spacers. Validity of the implemented cor-
relations has been confirmed via the analysis of a range of experiments conducted earlier at the Joint
Research Centre, Ispra. The measurements utilized are those of single- and two-phase pressure loss for
sodium flow in tubes and 12-pin bundles, as a function of the inlet velocity under quasi steady-state
conditions. The reported study thus represents an important further development step for the reliable
simulation of two-phase sodium flow in TRACE.
© 2011 Elsevier B.V. All rights reserved.
1. Introduction
The sodium-cooled fast reactor (SFR) is a fast reactor concept
proposed by the Generation IV International Forum (GIF) and is
considered, by several countries, as the prime candidate for the
large-scale implementation of breeder reactor technology in the
medium-term future. Since the void distribution in an SFR core is
one of the principal parameters controlling the reactivity during
hypothetical transients, and also since boiling may lead to dryout
and the melting of material, the accurate modeling of sodium two-
phase flow is an important requirement in safety studies for the SFR.
For this purpose, appropriate extension of the thermal-hydraulic
code TRACE is being carried out at the Paul Scherrer Institute (PSI)
in Switzerland (Chenu et al., 2009). The work is being performed
within the frame of the FAST project, which aims at the devel-
opment of a unique computational code system for the transient
analysis of different advanced fast reactor concepts (Mikityuk et al.,
2005).
Most fast breeder concepts use multi-pin fuel bundles with axial
coolant flow, and an accurate prediction of the hydraulic losses in
these bundle geometries is important for design calculation and
safety analysis. The present paper reports on the modeling of the
pressure drop in single- and two-phase sodium flow. A review of
available correlations for modeling of the pressure drop in different
∗
Corresponding author at: Paul Scherrer Institute, 5232 Villigen PSI, Switzerland.
E-mail address: aurelia.chenu@psi.ch (A. Chenu).
geometries is first presented. Thereby, the two basically different
types of spacers applicable to cylindrical fuel elements, i.e. wire and
grid spacers, have both been considered. For two-phase flow, the
classical approach of multiplying the friction factor for single-phase
flow (at the same mass flux) by an empirical multiplier has been
applied. In this context, a number of existing models available in
the open literature have been selected and implemented in TRACE,
and their predictive capability for sodium has been evaluated on
the basis of a appropriate experiments.
The sodium boiling experiments selected for assessing the valid-
ity of the physical models were performed at the Joint Research
Centre at Ispra, Italy, in the 1980s (Kottowski and Savatteri, 1984;
Savatteri et al., 1986). Sodium flow characteristics were measured
in tubes and pin bundles with identical geometries but differ-
ent spacers (wire-wrapper or grid-spacers). A large experimental
database was generated by the research program, consisting of
single- and two-phase pressure loss measurements as a function
of the velocity at the test-section inlet under quasi steady-state
boiling conditions. The comparison of the experimental data with
numerical predictions has enabled a quantitative estimation of the
quality of the correlations, enabling recommendations to be made
for future modeling. These recommendations are in terms of the
single-phase friction factor for simple geometries, for wire-spaced
bundles and across grid spacers, as well as the two-phase flow
multipliers needed for both friction and grid-spacer pressure losses.
The following section gives a summary of the tested models,
while Section 3 describes the experiments currently used for ver-
ification purposes. Results of the TRACE analysis are presented in
0029-5493/$ – see front matter © 2011 Elsevier B.V. All rights reserved.
doi:10.1016/j.nucengdes.2011.07.009