EUROTRANS WP1.5, May 22-23, 2007 HEAT TRANSFER TO LIQUID METAL: DATA AND CORRELATIONS FOR TUBE BUNDLES Konstantin MIKITYUK Laboratory for Reactor Physics.

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