{"title":"有限固体慢化剂组件中中子的扩散冷却","authors":"K.S. Singwi, L.S. Kothari","doi":"10.1016/0891-3919(58)90006-8","DOIUrl":null,"url":null,"abstract":"<div><p>Following <span>Nelkin</span>, an expression for the decay constant of the fundamental spatial mode of neutron flux as a function of the buckling of moderating assembly is derived, without making any explicit assumption regarding the variation of transport mean free path <em>λ</em><sub><em>tr</em></sub> with neutron energy. Numerical results are presented for beryllium, and it is shown that the relation between the diffusion cooling constant and the relaxation time of the last stages of slowing down is a very sensitive function of the variation of <em>λ</em><sub><em>tr</em></sub> with energy; as such it is not possible to estimate the relaxation time by a measurement of the diffusion cooling constant.</p></div>","PeriodicalId":100812,"journal":{"name":"Journal of Nuclear Energy (1954)","volume":"8 1","pages":"Pages 59-62"},"PeriodicalIF":0.0000,"publicationDate":"1958-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0891-3919(58)90006-8","citationCount":"19","resultStr":"{\"title\":\"Diffusion cooling of neutrons in a finite solid moderator assembly\",\"authors\":\"K.S. Singwi, L.S. Kothari\",\"doi\":\"10.1016/0891-3919(58)90006-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Following <span>Nelkin</span>, an expression for the decay constant of the fundamental spatial mode of neutron flux as a function of the buckling of moderating assembly is derived, without making any explicit assumption regarding the variation of transport mean free path <em>λ</em><sub><em>tr</em></sub> with neutron energy. Numerical results are presented for beryllium, and it is shown that the relation between the diffusion cooling constant and the relaxation time of the last stages of slowing down is a very sensitive function of the variation of <em>λ</em><sub><em>tr</em></sub> with energy; as such it is not possible to estimate the relaxation time by a measurement of the diffusion cooling constant.</p></div>\",\"PeriodicalId\":100812,\"journal\":{\"name\":\"Journal of Nuclear Energy (1954)\",\"volume\":\"8 1\",\"pages\":\"Pages 59-62\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1958-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0891-3919(58)90006-8\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nuclear Energy (1954)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0891391958900068\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nuclear Energy (1954)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0891391958900068","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Diffusion cooling of neutrons in a finite solid moderator assembly
Following Nelkin, an expression for the decay constant of the fundamental spatial mode of neutron flux as a function of the buckling of moderating assembly is derived, without making any explicit assumption regarding the variation of transport mean free path λtr with neutron energy. Numerical results are presented for beryllium, and it is shown that the relation between the diffusion cooling constant and the relaxation time of the last stages of slowing down is a very sensitive function of the variation of λtr with energy; as such it is not possible to estimate the relaxation time by a measurement of the diffusion cooling constant.
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