Subtraction of Moderator

As previously discussed, a voiding in the center of a LMFBR core results in a reactivity increase. There are two methods of subtracting moderator:

(a) the introduction of bubbles, and (b) sodium boiling.

Boiling is dealt with in ensuing chapters of this book. It suffices to say here that if the coolant is boiling, then something is radically wrong before any reactivity change arises from the core voiding!

Bubbles could be introduced from a variety of sources such as entrained gases, fission product gases, chemical reaction products, and such sources are separately discussed in Section 5.4.1.

Outlet CORE ANNULUS NUMBER

1

2

3

4

5

6

7

8

16

-O. OI

-0.05

-0.08

-0.05

-0.15

-0.15

-0.15

-0.15

15

-0.02

-0.10

-0.12

-0.05

-0.20

-0.27

-0.36

-0.40

14

-0.08

-0.37

-0.42

-0.10

-0.52

-0.93

-1.28

-1.50

13

-0.12

-0.72

-0.93

-0.27

-1.00

-1.77

-2.22

-Z60

edge of positive1^

-0.12

-0.54

-0.60

-0.62

0.02

-1.55

-3.30

-5,21

voiding rogion*j

0.30

1.51

2.82

2.90

6.30

3.14

-1.10

-5.il

10

0.68

3.45

6.00

5.59

12.18

4.46

1.15

-4.8

9

CORE MIDPLANE 8

0.90

4.56

7.86

7.18

15.63

10.00

2.45

-4.8

0.90

4.56

7.86

7.18

15.63

10.00

2.45

-4.8

7

0.68

3.45

6.00

5.59

12.18

4.46

1.15

-4.8

6

0.30

1.51

2.82

2.90

6.30

3.14

-1.10

-5.11

5

-0.12

-0.54

-0.60

-0.62

0.02

-1.55

-3.30

-5.21

4

-0.12

-0.72

-0.93

-0.27

-1.00

-1.77

-2.20

-2.60

3

0.08

-0.37

-0.42

-0.10

-0.52

-0.93

-1.28

-1.50

2

-002

-0.10

-0.12

-0.05

-020

-0 27

-0.36

-0 40

1

-0.01

-0.05

-008

-0.05

-0.15

-0.15

-0.15

-0.15

Inlet

*A totally voided poeitive void region ie worth $2 in this caee

Fig. 2.20. The sodium void reactivity worth as a function of core position in a LMFBR.

Figure 2.20 shows the worth map of sodium across a typical LMFBR core while Fig. 2.21 shows the variation of reactivity as a bubble passes through a core as a function of the bubble width, height, and coherency. These curves are calculated by simply integrating the worth map, and rates of reactivity addition are produced from an assumption as to the probable bubble size, shape, and velocity through the core. Rates of $ 100/sec are possible with investments of over a dollar but such sizes of bubbles are incredibly large.

image096

Fig. 2.21. The reactivity insertion rate as a function of time for a bubble distribution of a given length, N in. in diameter, moving at a given velocity through the core. The reactivity insertion rate is scaled by the coherence of the bubble distribution.