Expected Value of Finite Fission Chain Lengths of Pulse Reactors

LIU Jian-jun; ZHOU Zhi-gao; ZHANG Ben-ai

doi:10.11804/NuclPhysRev.24.01.080

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LIU Jian-jun, ZHOU Zhi-gao, ZHANG Ben-ai. Expected Value of Finite Fission Chain Lengths of Pulse Reactors[J]. Nuclear Physics Review, 2007, 24(1): 80-84. doi: 10.11804/NuclPhysRev.24.01.080

Citation:

LIU Jian-jun, ZHOU Zhi-gao, ZHANG Ben-ai. Expected Value of Finite Fission Chain Lengths of Pulse Reactors[J]. Nuclear Physics Review, 2007, 24(1): 80-84. doi: 10.11804/NuclPhysRev.24.01.080

Expected Value of Finite Fission Chain Lengths of Pulse Reactors

doi: 10.11804/NuclPhysRev.24.01.080

Institute of Applied Physics and Computational Mathematics Beijing, Beijing 100088, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2007-03-20

Abstract

The average neutron population necessary for sponsoring a persistent fission chain in a multiplying system, is discussed. In the point reactor model, the probability function (n, t0, t) of a source neutron at time t0 leading to n neutrons at time t is dealt with. The nonlinear partial differential equation for the probability generating function G(z; t0, t) is derived. By solving the equation, we have obtained an approximate analytic solution for a slightly prompt supercritical system. For the pulse reactor GodivaⅡ, the mean value of finite fission chain lengths is estimated in this work and shows that the estimated value is reasonable for the experimental analysis.
- pulse reactor,
- critical nuclear system,
- finite fission chain
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Expected Value of Finite Fission Chain Lengths of Pulse Reactors

doi: 10.11804/NuclPhysRev.24.01.080

Institute of Applied Physics and Computational Mathematics Beijing, Beijing 100088, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2007-03-20

Key words:

Abstract: The average neutron population necessary for sponsoring a persistent fission chain in a multiplying system, is discussed. In the point reactor model, the probability function (n, t0, t) of a source neutron at time t0 leading to n neutrons at time t is dealt with. The nonlinear partial differential equation for the probability generating function G(z; t0, t) is derived. By solving the equation, we have obtained an approximate analytic solution for a slightly prompt supercritical system. For the pulse reactor GodivaⅡ, the mean value of finite fission chain lengths is estimated in this work and shows that the estimated value is reasonable for the experimental analysis.

LIU Jian-jun, ZHOU Zhi-gao, ZHANG Ben-ai. Expected Value of Finite Fission Chain Lengths of Pulse Reactors[J]. Nuclear Physics Review, 2007, 24(1): 80-84. doi: 10.11804/NuclPhysRev.24.01.080

Citation:

LIU Jian-jun, ZHOU Zhi-gao, ZHANG Ben-ai. Expected Value of Finite Fission Chain Lengths of Pulse Reactors[J]. Nuclear Physics Review, 2007, 24(1): 80-84. doi: 10.11804/NuclPhysRev.24.01.080