THE BEHAVIOR OF A REACTOR AT PROMPT CRITICAL WHEN THE REACTIVITY IS A LINEAR FUNCTION OF TIME
Technical Report
·
OSTI ID:4302385
Simple analytic formulas are derived for the values of the prompt neutron density, the delayed neutron emitter densities, and the period in a reactor at the instant it has become prompt critical under the assumption that it has been brought to a prompt critical state from an initially critical state by introducing reactivity at the constant rate of a dollar per second. For a fixed value of a, these formulas are asymptotic with respect to small values of the dimensionless parameter al/ BETA , in which 1 is the mean lifetime of a neutron in the reactor and BETA is the fraction of fission neutrons which are delayed. For fast reactors, the quantity l/ BETA is generally small, so that the formulas should be useful in estimating the power rise at prompt critical unless the rate of introduction of reactivity is quite large. (auth)
- Research Organization:
- Nuclear Development Corp. of America, White Plains, N.Y.
- NSA Number:
- NSA-12-011840
- OSTI ID:
- 4302385
- Report Number(s):
- NDA-14-128
- Country of Publication:
- United States
- Language:
- English
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