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EUROTRANS WP1.5, May 22-23, 2007
HEAT TRANSFER TO LIQUID METAL:DATA AND CORRELATIONS FOR TUBE BUNDLES
Konstantin MIKITYUK
Laboratory for Reactor Physics and Systems Behaviour
EUROTRANS WP1.5, May 22-23, 2007
Outline
Liquid metal / tube bundle data review
Liquid metal / tube bundle correlation review
Analysis of correlation quality for predicting the data
Application of the correlations to ELSY conditions
Recommendation and conclusion
EUROTRANS WP1.5, May 22-23, 2007
Test data
EUROTRANS WP1.5, May 22-23, 2007
1 0 0 1 0 0 0P e c le t n u m b e r
0
5
1 0
1 5
2 0
2 5
3 0
3 5
4 0
4 5
Nus
selt
num
ber
M a res ca , x = 1 .7 5G räb e r , x = 1 .2 5G räb e r , x = 1 .6G räb e r , x = 1 .9 5B o rish a n sk i , x = 1 .1B o rish a n sk i , x = 1 .2B o rish a n sk i , x = 1 .3B o rish a n sk i , x = 1 .4B o rish a n sk i , x = 1 .5Z h u k o v , x = 1 .2 5Z h u k o v , x = 1 .2 8Z h u k o v , x = 1 .3 4Z h u k o v , x = 1 .4 6
a + b P e c
Test data: Nusselt vs Pe
EUROTRANS WP1.5, May 22-23, 2007
Test data: Nusselt vs x
1 .0 1 .1 1 .2 1 .3 1 .4 1 .5 1 .6 1 .7 1 .8 1 .9 2 .0P i tc h - to -d ia m e te r r a t io , x
0
5
1 0
1 5
2 0
2 5
3 0
3 5
4 0
4 5
Nus
selt
num
ber,
Nu
a (1 -e -b (x -1 ))
P e n u m b er0 - 5 0 05 0 0 - 1 0 0 01 0 0 0 - 2 0 0 02 0 0 0 - 3 0 0 03 0 0 0 - 4 0 0 04 0 0 0 - 5 0 0 0
EUROTRANS WP1.5, May 22-23, 2007
Correlations
EUROTRANS WP1.5, May 22-23, 2007
Nu measured versus Nu calculated
EUROTRANS WP1.5, May 22-23, 2007
Nu measured versus Nu calculated
EUROTRANS WP1.5, May 22-23, 2007
Nu measured versus Nu calculated
EUROTRANS WP1.5, May 22-23, 2007
Nu measured versus Nu calculated
EUROTRANS WP1.5, May 22-23, 2007
Absolute error for each data point ci
mii NuNu
Mean absolute error
N
1ii N/
Standard deviation
N
1i
2i )1N/()(
Root-mean-square error
N
1i
2i N/r
Analysis of quality of correlations
EUROTRANS WP1.5, May 22-23, 2007
Analysis of quality of correlations
EUROTRANS WP1.5, May 22-23, 2007
TRAC analysis of correlations in ELSY conditions
EUROTRANS WP1.5, May 22-23, 2007
Conclusions
Only tube bundle data considered
No “dirty” fluid data considered:
Influence of oxide layer direct simulation
Not enough data to see / difference
Gräber correlation recommended
