04.02.2013 Views

Regional Basic Professional Training Course in Korea

Regional Basic Professional Training Course in Korea

Regional Basic Professional Training Course in Korea

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

❙ 51 ❙<br />

1. Nuclear Reactor Pr<strong>in</strong>ciples<br />

where ρ is the reactivity def<strong>in</strong>ed earlier. A graphical resolution of this equation is<br />

presented <strong>in</strong> Figure 1.25. For a given reactivity ρ we get 7 possible ω values. Six of them<br />

have negative values and describe transitory terms and the last one has the same sign as<br />

ρ. If ρis positive, there is an exponential <strong>in</strong>crease of neutron population and if ρ is<br />

negative there is a decrease.<br />

This is similar to what was found without delayed neutrons. To illustrate the <strong>in</strong>fluence of<br />

these delayed neutrons, let us take numerical values. For <strong>in</strong>stance, if ρ is quite small, the<br />

general solution is:<br />

to be compared with: ω = ρ / l <strong>in</strong> the case of k<strong>in</strong>etic equation without delayed neutrons.<br />

The added term <strong>in</strong> the denom<strong>in</strong>ator corresponds to the average time of delayed neutron<br />

emission. This is added to the average neutron lifetime <strong>in</strong> the reactor (which is very<br />

short). Delayed neutrons slow then the k<strong>in</strong>etic behaviour of neutron multiplication.<br />

Consider the same numerical example as before, with ρ= 10 pcm, we f<strong>in</strong>d that the

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!