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An investigation of nonlinear xenon oscillation by method of averaging 用平均法研究非线性氙振荡
Pub Date : 1973-12-01 DOI: 10.1016/0022-3107(73)90030-0
Yoshiro Asahi , A.Ziya Akcasu

A nonlinear analysis of xenon-temperature controlled nuclear reactor dynamics is presented. The set of equations in question belongs to a general class of rate equations with quadratic nonlinearities. Boundedness of the solutions is examined. The mean value of periodic solutions for the flux is shown to be always less than the equilibrium value. The Bogoliubov's method of averaging as extended by Case is applied to obtain approximate solutions. The mechanism of the existence of relaxation oscillations in the linear stability region is analyzed. Computer calculations are performed and found in good agreement with the approximate solutions obtained by means of the method of averaging.

提出了氙温控核反应堆动力学的非线性分析方法。所讨论的方程组属于一类一般的二次非线性速率方程。研究了解的有界性。通量周期解的平均值总是小于平衡值。应用由Case推广的Bogoliubov平均法求近似解。分析了线性稳定区弛豫振荡存在的机理。进行了计算机计算,发现与用平均法得到的近似解非常吻合。
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引用次数: 4
Improvements in the prediction of reactivity and reaction rate ratios for uranium lattices 改进了铀晶格的反应性和反应速率比的预测
Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90104-4
R. Chawla

Evidence from a broad range of clean, benchmark experiments has been used to assess the performance of ‘best’ available theoretical methods and differential data for predicting integral thermal reactor properties such as reactivity and reaction rate ratios. It is shown that for improving the consistency of calculated integral parameters for D2O, H2O and graphite moderated, uranium fuelled systems, significant modifications to certain currently used nuclear data are desirable. Along with changes in moderator scattering cross-sections, 238U resonance data and the 235U fission energy spectrum, some modification of 235U thermal data has been made which lies within the experimental uncertainties of differential measurements. The ‘new’ data options have been used in various analyses with the WIMS lattice code, and results are presented for the benchmark studies and also for some lattices with more complicated geometries. It is shown that the preferred data generally gives more consistent results for both reactivities and reaction rate ratios over a wide range of conditions, than any previously considered data combinations.

来自广泛的清洁基准实验的证据已被用于评估“最佳”可用理论方法的性能和预测整体热反应堆特性(如反应性和反应速率比)的差分数据。结果表明,为了提高D2O、H2O和石墨慢化铀燃料系统计算的积分参数的一致性,需要对某些目前使用的核数据进行重大修改。随着慢慢剂散射截面、238U共振数据和235U裂变能谱的变化,对235U热数据进行了修正,修正范围在差测的实验不确定度范围内。“新”数据选项已在WIMS晶格代码的各种分析中使用,并为基准研究和一些具有更复杂几何形状的晶格提供了结果。结果表明,在广泛的条件下,优选数据通常比任何先前考虑的数据组合在反应性和反应速率比方面给出更一致的结果。
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引用次数: 0
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 : 1973-11-01 DOI: 10.1016/0022-3107(73)90100-7
John P. Howe, M.M.R. Williams
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引用次数: 0
(n, γ)-Cross-section measurements of 99Tc, Eu, Sm and Fe in the energy range 1 eV to 50 keV with a slowing-down time spectrometer (n, γ)-用慢化时间谱仪测量能量范围为1ev ~ 50kev的99Tc、Eu、Sm和Fe的截面
Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90105-6
Jen-Chang Chou , H. Werle

Absolute (n, γ)-cross-sections of some fission products with high yield have been measured. In addition, Fe has been studied to remove some unexplained discrepancies in earlier cross-section measurements. Both, the γ- and the neutron-detector have been calibrated absolutely, so the values derived here had not to be normalized to some other n, γ-cross-sections but rely on the 1/v-dependence of the 10B(n, α) 7Li- and the thermal Au-cross-section only.

测量了一些高产率裂变产物的绝对(n, γ)截面。此外,还对铁进行了研究,以消除早期截面测量中一些无法解释的差异。γ-和中子探测器都经过了绝对校准,因此这里导出的值不必归一化到其他n, γ-截面,而只依赖于10B(n, α) 7Li-和热au截面的1/v依赖性。
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引用次数: 26
Propagation of thermal neutrons across an absorption discontinuity in graphite 热中子在石墨吸收不连续中的传播
Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90106-8
Vidya Bhushan, L.S. Kothari
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引用次数: 0
Generalized Nelkin's expansion for plane lattices in a multigroup PN theory 多群PN理论中平面格的广义Nelkin展开
Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90102-0
J.J. Van Binnebeek

The decay λ of a burst of neutrons in a plane lattice with symmetric multilayered cells is computed in a PN multigroup theory versus the geometrical buckling k. For that purpose, the transport eigenvalue problem is transformed by Vladimirov's symmetric decomposition, and the space variable is eliminated by integration in each layer along the unit cell and by use of Bloch's theorem as boundary condition. A transmission operator for the unit cell generates a generalized eigenvalue problem defining numerically function λ(κ). Generalized Nelkin's coefficients ate computed for various water-beryllium lattices and compared to those obtained for the volume homogenized lattices.

利用PN多群理论计算了具有对称多层单元的平面晶格中中子爆发的衰减λ与几何屈曲k的关系。为此,通过Vladimirov的对称分解变换传输特征值问题,并通过沿单元格的每层积分和使用Bloch定理作为边界条件来消除空间变量。单位胞的传输算子产生了一个广义特征值问题,定义了数值函数λ(κ)。计算了各种水铍晶格的广义Nelkin系数,并与体积均匀化晶格的广义Nelkin系数进行了比较。
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引用次数: 0
Time dependent 237Np, 235U and 239Pu fission rates in a thorium assembly during the interval 0 to 200 ns using a pulsed 9Be(d,n) source—I. Experiment 使用脉冲9Be(d,n)源,在0 ~ 200 ns的时间间隔内,钍组件中的237Np, 235U和239Pu裂变率。实验
Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90101-9
S. P. Moo, M. Rainbow, A. Ritchie
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引用次数: 4
Notice 请注意
Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90108-1
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引用次数: 0
Photoneutron production cross-sections of beryllium and deuterium at a number of gamma energies below 3 MeV 在低于3兆电子伏特的伽马能量下,铍和氘的光子中子产生横截面
Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90107-X
F. Vesely, F. Bensch
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引用次数: 3
Time dependent 237Np, 235U and 239Pu fission rates in a thorium assembly during the interval 0 to 200 ns using a pulsed 9Be(d,n) source—I. Experiment 使用脉冲9Be(d,n)源,在0 ~ 200 ns的时间间隔内,钍组件中的237Np, 235U和239Pu裂变率。实验
Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90101-9
S.P. Moo , M.T. Rainbow , A.I.M. Ritchie

This paper describes a series of integral pulsed neutron experiments performed in a 0·4 × 0·4 × 0·4 m3 metallic thorium assembly in such a way as to allow direct comparison of space independent reaction rates with calculated reaction rates derived from a code which uses the asymptotic reactor theory approximation to describe leakage. The technique relies on the Fourier decomposition of measured space-time dependent reaction rates and the extraction from these of the reaction rate corresponding to the fundamental three-dimensional Fourier spatial mode. The reaction rates measured were the fission rates of 335U, 239Pu and 237Np following a short ∼ 10 ns) burst of neutrons with a mean energy of ∼ 2·7 MeV.

本文描述了在0.4 × 0.4 × 0.4 m3金属钍组件中进行的一系列积分脉冲中子实验,以便将与空间无关的反应速率与从使用渐近反应堆理论近似描述泄漏的代码中得出的计算反应速率进行直接比较。该技术依赖于对测量的与时空相关的反应速率进行傅里叶分解,并从中提取与基本三维傅里叶空间模式相对应的反应速率。测量的反应速率是335U、239Pu和237Np在平均能量为2.7 MeV的短- 10 ns中子爆发后的裂变速率。
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引用次数: 4
期刊
Journal of Nuclear Energy
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