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An analytical treatment of time- and space-dependent asymptotic behaviour of slowing down neutron 慢化中子随时间和空间渐近行为的解析处理
Pub Date : 1973-05-01 DOI: 10.1016/0022-3107(73)90003-8
Y. Yamamura, Y. Kitazoe, T. Sekiya

Asymptotic aspects of space- and time-dependent slowing down of a pulsed neutron is analytically studied, based on the time-dependent diffusion equation. The calculations are mainly concerned with the flux distribution ψ(r, u, t) and the spatially dependent most probable slowing down time tmax(r, u). The analytic solution for ψ(r, u, t) indicates that its spatial dependence is determined only by the time-dependent neutron age τ(u, t), while tmax(r, u) is shown to be dominantly influenced by the stationary neutron age τs(u).

Through these analyses, the interesting relations are obtained: (a) When t = ts ≡ «tå0{1 − ξ/(ξ + 4)(ξ + 2)}, τ(u, t), coincides with τs,(u), which implies that the spatial dependence of ψ(r, u, t) at that time is analogous to that of the stationary neutron distribution, where «tå0 is the first time moment. (b) The most probable slowing down time tmax(r, u) at r = √«r2å) (standard notation) becomes equal to the most probable slowing down time tm of the spatially independent distribution ψ(u, t).

The cross sections employed here are assumed to be constant, but different cross-sections for the source neutrons are allowed.

基于时变扩散方程,分析研究了脉冲中子的时空慢化的渐近性质。计算主要涉及通量分布ψ(r, u, t)和空间相关的最可能慢化时间tmax(r, u)。ψ(r, u, t)的解析解表明,其空间相关性仅由随时间变化的中子年龄τ(u, t)决定,而tmax(r, u)主要受静止中子年龄τs(u)的影响。通过这些分析,得到了有趣的关系:(a)当t = ts≡«tamat0{1−ξ/(ξ + 4)(ξ + 2)}时,τ(u, t)与τs,(u)重合,这意味着此时ψ(r, u, t)的空间依赖性类似于平稳中子分布的空间依赖性,其中«tamat0是第一时刻矩。(b)最可能的慢化时间tmax(r, u)在r =√«r2)(标准符号)变成等于空间独立分布ψ(u, t)的最可能的慢化时间tm。这里采用的截面假定是恒定的,但是源中子的不同截面是允许的。
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引用次数: 1
Some papers to be published 一些论文要发表
Pub Date : 1973-05-01 DOI: 10.1016/0022-3107(73)90011-7
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引用次数: 0
Gamma rays resulting from nonelastic processes of 14·2 MeV neutrons with sodium, magnesium, silicon, sulphur, titanium, chromium and iron 14·2 MeV中子与钠、镁、硅、硫、钛、铬和铁的非弹性过程产生的伽马射线
Pub Date : 1973-04-01 DOI: 10.1016/0022-3107(73)90058-0
U. Abbondanno, R. Giacomich, M. Lagonegro, G. Pauli

Gamma rays resulting from the interaction of 14·2 MeV neutrons with 23Na, 24Mg, 28Si, 32S, 48Ti, 52Cr and 56Fe were investigated. The incident neutrons were produced by means of the T(d, n)4He reaction. The associated-particle time-of-flight technique was used to discriminate between the neutrons and the gamma rays resulting from the nonelastic scattering processes. The differential gamma-ray production cross-sections were measured for gamma rays with energies of 0·44, 0·64, 1·27, 1·63 MeV for 23Na; for a gamma ray with energy of 1·37 MeV for 24Mg; for a gamma ray with energy of 1·78 MeV for 28Si; for gamma rays with energies of 1·27, 2·06, 2·24 MeV for 32S; for gamma rays with energies of 0·99 and 1·31 MeV for 48Ti; for gamma rays with energies of 0·93, 1·33, 1·43 MeV for 52Cr; for gamma rays with energies of 0·85 and 124 MeV for 56Fe. The integrated gamma ray production cross-sections were also deduced.

研究了14.2 MeV中子与23Na、24Mg、28Si、32S、48Ti、52Cr和56Fe相互作用产生的伽马射线。入射中子是由T(d, n)4He反应产生的。结合粒子飞行时间技术被用来区分中子和由非弹性散射过程产生的伽马射线。测量了23Na能量为0.44、0.64、1.27、1.63 MeV的伽马射线的差分伽马射线产生截面;24Mg时能量为1.37 MeV的伽马射线;28Si的能量为1.78 MeV的伽马射线;32S能量分别为1.27、2.06、2.24 MeV的伽马射线;48Ti的能量为0.99和1.31 MeV的伽马射线;52Cr的能量分别为0.93、1.33、1.43 MeV的伽马射线;对于56Fe的能量为0.85和124 MeV的伽马射线。并推导了综合伽马生产截面。
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引用次数: 15
Calculation of neutron slowing down spectrum in water using green's function 用格林函数计算水中中子慢化谱
Pub Date : 1973-04-01 DOI: 10.1016/0022-3107(73)90060-9
R.A. Bhatti

A method is presented which provides an analytical solution to the steady state, energy dependent neutron transport equation for the Hydrogen mixture case with isotropic elastic and inelastic scattering. The main characteristics of the method are the use of Green's function and diffusion approximation. A difference form of the Boltzman equation is derived as the final expression for machine computation.

Neutron slowing down spectrum is calculated from 3T(d, n)4He source put at the centre of a cubical block of water. A comparison is made with the slowing down spectrum calculated from 241Am-9Be source. The effects of using different models for inelastic scattering by oxygen atom in water molecule on the slowing down spectrum are also investigated. Some thermal group cross-sections are developed and thermal spectrum in water is calculated for stationary nuclei and is compared with experiments; with good agreement obtained between them within the approximations made in the calculations and the difficulties involved in measuring the thermal spectrum in water.

给出了具有各向同性弹性散射和非弹性散射的氢混合粒子的稳态、能量依赖的中子输运方程的解析解。该方法的主要特点是使用了格林函数和扩散近似。导出了玻尔兹曼方程的差分形式作为机器计算的最终表达式。中子慢化谱由放置在水立方块中心的3T(d, n)4He源计算得到。并与241Am-9Be源计算的慢化谱进行了比较。研究了不同的水分子氧原子非弹性散射模型对慢化谱的影响。绘制了固定核在水中的热群截面,计算了其热谱,并与实验进行了比较;它们在计算中所作的近似和测量水中热谱所涉及的困难之间取得了很好的一致性。
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引用次数: 0
Correction for higher-order scattering anisotropy in neutron transport theory 中子输运理论中高阶散射各向异性的修正
Pub Date : 1973-04-01 DOI: 10.1016/0022-3107(73)90061-0
Weston M. Stacey Jr.

A method is presented for correcting integral parameters to account for the effect of higher-order scattering anisotropy when the neutron flux used in evaluating the parameters is based upon a transport calculation with a low-order scattering approximation. The method is based upon a variational principle for the parameter of interest.

本文提出了一种修正积分参数的方法,以考虑高阶散射各向异性对参数的影响,当用于计算参数的中子通量基于低阶散射近似的输运计算时。该方法基于感兴趣参数的变分原理。
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引用次数: 3
Verification of energy release in fission from power plant calorimetrics and isotopic composition of spent fuel 核裂变能量释放的电厂热量法和乏燃料同位素组成验证
Pub Date : 1973-04-01 DOI: 10.1016/0022-3107(73)90057-9
Jacek Jedruch, Richard J. Nodvik

The reactor of a nuclear power station was treated as a flow calorimeter to evaluate the energy released in fission from a given loading of UO2. The changes in the inventories of U and Pu isotopes were obtained from reprocessing of the spent fuel and the corresponding total number of fissions was determined. The resulting energy released per average fission in a fuel irradiated to 11·5GWD/MTU was found to be 203·2 ± 6·0 MeV from batch isotopic method, 204·6 ± 6·3 MeV from batch composite method and 204·8 ± 7·2 MeV from 148Nd-analyses. For burnups both higher and lower than this value, the results indicate the presence of a burnup dependence somewhat greater than that expected on the basis of Pu buildup alone. The accuracy of the plant data was found to be limited by the ability to measure the steam generator feed water flow rates.

一个核电站的反应堆被当作一个流量量热计来评估从给定负载的UO2裂变释放的能量。通过对乏燃料的后处理,获得了铀和铀同位素存量的变化,并确定了相应的总裂变次数。在111.5 gwd /MTU条件下,间歇同位素法得到的燃料平均裂变释放能量为20.2±6.0 MeV,间歇复合法得到的能量为20.6±6.3 MeV, 148nd分析得到的能量为20.8±7.2 MeV。对于高于或低于该值的燃耗,结果表明燃耗依赖性比仅基于Pu积累的预期要大一些。发现工厂数据的准确性受到测量蒸汽发生器给水流量的能力的限制。
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引用次数: 1
Expansion of editorial coverage and service to contributors and readers of journal of nuclear energy 扩大《核能》杂志的编辑范围,为投稿人和读者提供服务
Pub Date : 1973-04-01 DOI: 10.1016/0022-3107(73)90056-7
John P. Howe, M.M.R. Williams (Executive Editors)
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引用次数: 0
Some activation cross-sections for 14·7 MeV neutrons on nickel 14·7 MeV中子在镍上的活化截面
Pub Date : 1973-04-01 DOI: 10.1016/0022-3107(73)90059-2
J.D. Hemingway

The activation cross-sections for some fast neutron reactions on nickel have been determined. At 14·7 ± 0·2 MeV, values are: 58Ni(n, 2n)57 Ni − 32·6 ± 2·7 mb; 58Ni(n, np + n, d + n, pn)57Co − 619 ± 49 mb; 58Ni (n, p)58m.gCo − 349 ± 30 mb; 60Ni(n, p)60m,gCo − 129 ± 16 mb. A comparison with previous values is given.

测定了镍上某些快中子反应的活化截面。在14.7±0.2 MeV下,值为:58Ni(n, 2n) 57ni−32.6±2.7 mb;58Ni(n, np + n, d + n, pn)57Co−619±49 mb;ni (n, p)gCo−349±30 mb;60Ni(n, p)60m,gCo - 129±16mb。与以前的值进行了比较。
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引用次数: 7
The source-multiplication method for absolute reactivity determination 源倍增法测定绝对反应性
Pub Date : 1973-03-01 DOI: 10.1016/0022-3107(73)90077-4
E. Greenspan
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引用次数: 2
Effect of multiple spin species on spherical shell neutron transmission analysis 多自旋种对球壳中子透射分析的影响
Pub Date : 1973-03-01 DOI: 10.1016/0022-3107(73)90081-6
T. T. Semler
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引用次数: 5
期刊
Journal of Nuclear Energy
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