C. Lombardi et A. Mazzola, PREDICTION OF 2-PHASE MIXTURE DENSITY USING ARTIFICIAL NEURAL NETWORKS, Annals of nuclear energy, 24(17), 1997, pp. 1373-1387
In nuclear power plants, the density of boiling mixtures has a signifi
cant relevance due to its influence on the neutronic balance, the powe
r distribution and the reactor dynamics. Since the determination of th
e two-phase mixture density on a purely analytical basis is in fact im
practical in many situations of interest, heuristic relationships have
been developed based on the parameters describing the two-phase syste
m. However, the best or even a good structure for the correlation cann
ot be determined in advance, also considering that it is usually desir
ed to represent the experimental data with the most compact equation.
A possible alternative to empirical correlations is the use of artific
ial neural networks, which allow one to model complex systems without
requiring the explicit formulation of the relationships existing among
the variables. In this work, the neural network methodology was appli
ed to predict the density data of two-phase mixtures up-flowing in adi
abatic channels under different experimental conditions. the trained n
etwork predicts the density data with a root-mean-square error of 5.33
%, being similar to 93% of the data points predicted within 10%. When
compared with those of two conventional well-proven correlations, i.e.
the Zuber-Findlay and the CISE correlations, the neural network perfo
rmances are significantly better. In spite of the good accuracy of the
neural network predictions, the 'black-box' characteristic of the neu
ral model does not allow an easy physical interpretation of the knowle
dge integrated in the network weights. Therefore, the neural network m
ethodology has the advantage of not requiring a formal correlation str
ucture and of giving very accurate results, but at the expense of a lo
ss of model transparency. (C) 1997 Elsevier Science Ltd.