EXACT SOLUTION OF THE REACTOR KINETICS EQUATIONS FOR LINEAR, EXPONENTIAL, OR RECIPROCAL REACTIVITY DEPENDENCE ON TIME
Journal Article
·
· Bull. classe sci., Acad. roy. Belg.
OSTI ID:4219462
The general equations for reactor dynamics at low power are integrated by means of Laplace type integrals for the three cases of linear, exponential, or reciprocal (1/t) reactivity variation. In the first and second case, the exact solution can be written under the form of the generalized function of-the parabolic cylinder and the Meijer G function, respectively. When the effect of the delayed neutrons is represented by a single equivalent group, the solution in the third case can he expressed by means of the confluent hypergeometric function. (tr-auth)
- Research Organization:
- Massachusetts Inst. of Tech., Cambridge; and Brookhaven National Lab., Upton, N.Y.
- NSA Number:
- NSA-14-004892
- OSTI ID:
- 4219462
- Journal Information:
- Bull. classe sci., Acad. roy. Belg., Journal Name: Bull. classe sci., Acad. roy. Belg. Vol. Vol: (5) 45
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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