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ORNL-TM-7207 - the Molten Salt Energy Technologies Web Site

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where<br />

Ci = relative delayed-neutron precursor concentration,<br />

t = time,<br />

B = reactor power,<br />

B = delayed-neutron fraction,<br />

k = muPtipLieation factor,<br />

37<br />

h = prompt-neutron generation time,<br />

xi = aeiayea-neutPon prec~rsor decay constant,<br />

ai = delayed-neutron fractional yield,<br />

R = coolant flow constant,<br />

T = mean salt transit time in external loop.<br />

These equations <strong>the</strong>n show that, where dollars of reactivity are defined<br />

as $i = (k - l)/kB, <strong>the</strong> steady balance condition requires a nonzero value<br />

of $ e Thus,<br />

'Ai'<br />

where E5 is equal to 1 - e . Defining a new effective reactivity as<br />

we can write <strong>the</strong> inhour equation relating asymptotic inverse period w to<br />

A, <strong>the</strong> amount of reactivity in excess of that required to maintain steady<br />

state under <strong>the</strong> given flow rate.<br />

where Fi is equal t o 1 - e~p[--CAi 9 U)T].<br />

The prompt-neutron generation<br />

time was calculated by <strong>the</strong> boron-poison method to be 362 ps. For now,<br />

we will ignore <strong>the</strong> difference between B and Beff, which is expected to<br />

be small fn Bow-leakage systems. Table 22 was compiled using standard

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