Pub Date : 1973-05-01DOI: 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 , 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 (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。
{"title":"An analytical treatment of time- and space-dependent asymptotic behaviour of slowing down neutron","authors":"Y. Yamamura, Y. Kitazoe, T. Sekiya","doi":"10.1016/0022-3107(73)90003-8","DOIUrl":"10.1016/0022-3107(73)90003-8","url":null,"abstract":"<div><p>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(<em>r, u, t</em>) and the spatially dependent most probable slowing down time <em>t</em><sub>max</sub>(<em>r, u</em>). The analytic solution for ψ(<em>r, u, t</em>) indicates that its spatial dependence is determined only by the time-dependent neutron age τ(<em>u, t</em>), while <em>t</em><sub>max</sub>(<em>r, u</em>) is shown to be dominantly influenced by the stationary neutron age <em>τ</em><sub><em>s</em></sub>(<em>u</em>).</p><p>Through these analyses, the interesting relations are obtained: (a) When <span><math><mtext>t = t</mtext><msub><mi></mi><mn>s</mn></msub><mtext> ≡ «t</mtext><mtext>a</mtext><mtext>̊</mtext><msub><mi></mi><mn>0</mn></msub><mtext>{1 − ξ/(ξ + 4)(ξ + 2)}</mtext></math></span>, τ(<em>u, t</em>), coincides with <em>τ</em><sub><em>s</em></sub>,(<em>u</em>), which implies that the spatial dependence of ψ(<em>r, u, t</em>) at that time is analogous to that of the stationary neutron distribution, where «<em>t</em>å<sub>0</sub> is the first time moment. (b) The most probable slowing down time <em>t</em><sub>max</sub>(<em>r</em>, u) at <span><math><mtext>r = √«r</mtext><msup><mi></mi><mn>2</mn></msup><mtext>a</mtext><mtext>̊</mtext><mtext>)</mtext></math></span> (standard notation) becomes equal to the most probable slowing down time <em>t</em><sub><em>m</em></sub> of the spatially independent distribution ψ(<em>u, t</em>).</p><p>The cross sections employed here are assumed to be constant, but different cross-sections for the source neutrons are allowed.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 5","pages":"Pages 303-315"},"PeriodicalIF":0.0,"publicationDate":"1973-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90003-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77738597","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}
Pub Date : 1973-05-01DOI: 10.1016/0022-3107(73)90011-7
{"title":"Some papers to be published","authors":"","doi":"10.1016/0022-3107(73)90011-7","DOIUrl":"https://doi.org/10.1016/0022-3107(73)90011-7","url":null,"abstract":"","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 5","pages":"Page 365"},"PeriodicalIF":0.0,"publicationDate":"1973-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90011-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"137079727","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}
Pub Date : 1973-04-01DOI: 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.
{"title":"Gamma rays resulting from nonelastic processes of 14·2 MeV neutrons with sodium, magnesium, silicon, sulphur, titanium, chromium and iron","authors":"U. Abbondanno, R. Giacomich, M. Lagonegro, G. Pauli","doi":"10.1016/0022-3107(73)90058-0","DOIUrl":"10.1016/0022-3107(73)90058-0","url":null,"abstract":"<div><p>Gamma rays resulting from the interaction of 14·2 MeV neutrons with <sup>23</sup>Na, <sup>24</sup>Mg, <sup>28</sup>Si, <sup>32</sup>S, <sup>48</sup>Ti, <sup>52</sup>Cr and <sup>56</sup>Fe were investigated. The incident neutrons were produced by means of the <em>T</em>(d, <em>n</em>)<sup>4</sup>He 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 <sup>23</sup>Na; for a gamma ray with energy of 1·37 MeV for <sup>24</sup>Mg; for a gamma ray with energy of 1·78 MeV for <sup>28</sup>Si; for gamma rays with energies of 1·27, 2·06, 2·24 MeV for <sup>32</sup>S; for gamma rays with energies of 0·99 and 1·31 MeV for <sup>48</sup>Ti; for gamma rays with energies of 0·93, 1·33, 1·43 MeV for <sup>52</sup>Cr; for gamma rays with energies of 0·85 and 124 MeV for <sup>56</sup>Fe. The integrated gamma ray production cross-sections were also deduced.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 4","pages":"Pages 227-239"},"PeriodicalIF":0.0,"publicationDate":"1973-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90058-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75035809","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}
Pub Date : 1973-04-01DOI: 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.
{"title":"Calculation of neutron slowing down spectrum in water using green's function","authors":"R.A. Bhatti","doi":"10.1016/0022-3107(73)90060-9","DOIUrl":"10.1016/0022-3107(73)90060-9","url":null,"abstract":"<div><p>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.</p><p>Neutron slowing down spectrum is calculated from <sup>3</sup>T(d, <em>n</em>)<sup>4</sup>He source put at the centre of a cubical block of water. A comparison is made with the slowing down spectrum calculated from <sup>241</sup>Am-<sup>9</sup>Be 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.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 4","pages":"Pages 247-262"},"PeriodicalIF":0.0,"publicationDate":"1973-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90060-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81408413","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}
Pub Date : 1973-04-01DOI: 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.
{"title":"Correction for higher-order scattering anisotropy in neutron transport theory","authors":"Weston M. Stacey Jr.","doi":"10.1016/0022-3107(73)90061-0","DOIUrl":"10.1016/0022-3107(73)90061-0","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 4","pages":"Pages 263-272"},"PeriodicalIF":0.0,"publicationDate":"1973-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90061-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87859044","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}
Pub Date : 1973-04-01DOI: 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.
{"title":"Verification of energy release in fission from power plant calorimetrics and isotopic composition of spent fuel","authors":"Jacek Jedruch, Richard J. Nodvik","doi":"10.1016/0022-3107(73)90057-9","DOIUrl":"10.1016/0022-3107(73)90057-9","url":null,"abstract":"<div><p>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 UO<sub>2</sub>. 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 <sup>148</sup>Nd-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.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 4","pages":"Pages 195-225"},"PeriodicalIF":0.0,"publicationDate":"1973-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90057-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79255090","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}
Pub Date : 1973-04-01DOI: 10.1016/0022-3107(73)90056-7
John P. Howe, M.M.R. Williams (Executive Editors)
{"title":"Expansion of editorial coverage and service to contributors and readers of journal of nuclear energy","authors":"John P. Howe, M.M.R. Williams (Executive Editors)","doi":"10.1016/0022-3107(73)90056-7","DOIUrl":"https://doi.org/10.1016/0022-3107(73)90056-7","url":null,"abstract":"","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 4","pages":"Pages 193-194"},"PeriodicalIF":0.0,"publicationDate":"1973-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90056-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136458605","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}
Pub Date : 1973-04-01DOI: 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。
{"title":"Some activation cross-sections for 14·7 MeV neutrons on nickel","authors":"J.D. Hemingway","doi":"10.1016/0022-3107(73)90059-2","DOIUrl":"10.1016/0022-3107(73)90059-2","url":null,"abstract":"<div><p>The activation cross-sections for some fast neutron reactions on nickel have been determined. At 14·7 ± 0·2 MeV, values are: <sup>58</sup>Ni(<em>n</em>, 2<em>n</em>)<sup>57</sup> Ni − 32·6 ± 2·7 mb; <sup>58</sup>Ni(<em>n</em>, <em>np</em> + <em>n</em>, d + <em>n, pn</em>)<sup>57</sup>Co − 619 ± 49 mb; <sup>58</sup>Ni (<em>n, p</em>)<sup>58m.g</sup>Co − 349 ± 30 mb; <sup>60</sup>Ni(<em>n, p</em>)<sup>60m,g</sup>Co − 129 ± 16 mb. A comparison with previous values is given.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 4","pages":"Pages 241-246"},"PeriodicalIF":0.0,"publicationDate":"1973-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90059-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74966587","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}
Pub Date : 1973-03-01DOI: 10.1016/0022-3107(73)90081-6
T. T. Semler
{"title":"Effect of multiple spin species on spherical shell neutron transmission analysis","authors":"T. T. Semler","doi":"10.1016/0022-3107(73)90081-6","DOIUrl":"https://doi.org/10.1016/0022-3107(73)90081-6","url":null,"abstract":"","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"19 1","pages":"185-191"},"PeriodicalIF":0.0,"publicationDate":"1973-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72750917","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}