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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
Journal of Nuclear Energy Pub Date : 1973-12-01 DOI: 10.1016/0022-3107(73)90030-0
Yoshiro Asahi , A.Ziya Akcasu
{"title":"An investigation of nonlinear xenon oscillation by method of averaging","authors":"Yoshiro Asahi ,&nbsp;A.Ziya Akcasu","doi":"10.1016/0022-3107(73)90030-0","DOIUrl":"10.1016/0022-3107(73)90030-0","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 12","pages":"Pages 839-855"},"PeriodicalIF":0.0,"publicationDate":"1973-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90030-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91387801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Journal of Nuclear Energy Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90104-4
R. Chawla
{"title":"Improvements in the prediction of reactivity and reaction rate ratios for uranium lattices","authors":"R. Chawla","doi":"10.1016/0022-3107(73)90104-4","DOIUrl":"10.1016/0022-3107(73)90104-4","url":null,"abstract":"<div><p>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 D<sub>2</sub>O, H<sub>2</sub>O and graphite moderated, uranium fuelled systems, significant modifications to certain currently used nuclear data are desirable. Along with changes in moderator scattering cross-sections, <sup>238</sup>U resonance data and the <sup>235</sup>U fission energy spectrum, some modification of <sup>235</sup>U 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.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 11","pages":"Pages 797-809"},"PeriodicalIF":0.0,"publicationDate":"1973-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90104-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84867838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Journal of Nuclear Energy Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90100-7
John P. Howe, M.M.R. Williams
{"title":"Expansion of editorial coverage and service to contributors and readers of journal of nuclear energy","authors":"John P. Howe,&nbsp;M.M.R. Williams","doi":"10.1016/0022-3107(73)90100-7","DOIUrl":"https://doi.org/10.1016/0022-3107(73)90100-7","url":null,"abstract":"","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 11","pages":"Pages I-II"},"PeriodicalIF":0.0,"publicationDate":"1973-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90100-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91675713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Journal of Nuclear Energy Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90105-6
Jen-Chang Chou , H. Werle
{"title":"(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","authors":"Jen-Chang Chou ,&nbsp;H. Werle","doi":"10.1016/0022-3107(73)90105-6","DOIUrl":"10.1016/0022-3107(73)90105-6","url":null,"abstract":"<div><p>Absolute (<em>n</em>, <em>γ</em>)-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 <em>n</em>, γ-cross-sections but rely on the 1/<em>v</em>-dependence of the <sup>10</sup>B(<em>n</em>, <em>α</em>) <sup>7</sup>Li- and the thermal Au-cross-section only.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 11","pages":"Pages 811-823"},"PeriodicalIF":0.0,"publicationDate":"1973-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90105-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73950862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Journal of Nuclear Energy Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90106-8
Vidya Bhushan, L.S. Kothari
{"title":"Propagation of thermal neutrons across an absorption discontinuity in graphite","authors":"Vidya Bhushan,&nbsp;L.S. Kothari","doi":"10.1016/0022-3107(73)90106-8","DOIUrl":"10.1016/0022-3107(73)90106-8","url":null,"abstract":"","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 11","pages":"Pages 825-827"},"PeriodicalIF":0.0,"publicationDate":"1973-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90106-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78060359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Journal of Nuclear Energy Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90102-0
J.J. Van Binnebeek
{"title":"Generalized Nelkin's expansion for plane lattices in a multigroup PN theory","authors":"J.J. Van Binnebeek","doi":"10.1016/0022-3107(73)90102-0","DOIUrl":"10.1016/0022-3107(73)90102-0","url":null,"abstract":"<div><p>The decay λ of a burst of neutrons in a plane lattice with symmetric multilayered cells is computed in a <em>P</em><sub><em>N</em></sub> multigroup theory versus the geometrical buckling <em>k</em>. 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.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 11","pages":"Pages 769-785"},"PeriodicalIF":0.0,"publicationDate":"1973-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90102-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73460654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Journal of Nuclear Energy Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90101-9
S. P. Moo, M. Rainbow, A. Ritchie
{"title":"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","authors":"S. P. Moo, M. Rainbow, A. Ritchie","doi":"10.1016/0022-3107(73)90101-9","DOIUrl":"https://doi.org/10.1016/0022-3107(73)90101-9","url":null,"abstract":"","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"78 1","pages":"753-768"},"PeriodicalIF":0.0,"publicationDate":"1973-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89042638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Notice 请注意
Journal of Nuclear Energy Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90108-1
{"title":"Notice","authors":"","doi":"10.1016/0022-3107(73)90108-1","DOIUrl":"https://doi.org/10.1016/0022-3107(73)90108-1","url":null,"abstract":"","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 11","pages":"Page 830"},"PeriodicalIF":0.0,"publicationDate":"1973-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90108-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91719924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Journal of Nuclear Energy Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90107-X
F. Vesely, F. Bensch
{"title":"Photoneutron production cross-sections of beryllium and deuterium at a number of gamma energies below 3 MeV","authors":"F. Vesely,&nbsp;F. Bensch","doi":"10.1016/0022-3107(73)90107-X","DOIUrl":"10.1016/0022-3107(73)90107-X","url":null,"abstract":"","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 11","pages":"Pages 828-829"},"PeriodicalIF":0.0,"publicationDate":"1973-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90107-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76701934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Journal of Nuclear Energy Pub Date : 1973-11-01 DOI: 10.1016/0022-3107(73)90101-9
S.P. Moo , M.T. Rainbow , A.I.M. Ritchie
{"title":"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","authors":"S.P. Moo ,&nbsp;M.T. Rainbow ,&nbsp;A.I.M. Ritchie","doi":"10.1016/0022-3107(73)90101-9","DOIUrl":"https://doi.org/10.1016/0022-3107(73)90101-9","url":null,"abstract":"<div><p>This paper describes a series of integral pulsed neutron experiments performed in a 0·4 × 0·4 × 0·4 m<sup>3</sup> 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 <sup>335</sup>U, <sup>239</sup>Pu and <sup>237</sup>Np following a short ∼ 10 ns) burst of neutrons with a mean energy of ∼ 2·7 MeV.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 11","pages":"Pages 753-768"},"PeriodicalIF":0.0,"publicationDate":"1973-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90101-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90013767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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