{"title":"Radial diffusion coefficient in a cylindrical cell by P3 method","authors":"T. Takeda, K. Azekura, T. Sekiya","doi":"10.1016/0022-3107(73)90022-1","DOIUrl":null,"url":null,"abstract":"<div><p>Radial diffusion coefficient for a cylindrical cell is calculated by the <em>P</em><sub>3</sub>-approximation in one-group theory. Williams calculated the anisotropic diffusion coefficient in a cylindrical cell by the <em>P</em><sub>3</sub>-approximation. His calculation was, however, limited to the axial diffusion coefficient. Therefore we calculate the radial diffusion coefficient by using the cylindrical approximation introduced by Williams and by following the concise procedure of the <em>P</em><sub><em>N</em></sub>-method by Davison. As an example of numerical calculation we treat a cell consisting of two different regions, a fuel rod and a surrounding moderator. Results from the present method are compared with those from the diffusion theory and from the collision probability method.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1973-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90022-1","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nuclear Energy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0022310773900221","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Radial diffusion coefficient for a cylindrical cell is calculated by the P3-approximation in one-group theory. Williams calculated the anisotropic diffusion coefficient in a cylindrical cell by the P3-approximation. His calculation was, however, limited to the axial diffusion coefficient. Therefore we calculate the radial diffusion coefficient by using the cylindrical approximation introduced by Williams and by following the concise procedure of the PN-method by Davison. As an example of numerical calculation we treat a cell consisting of two different regions, a fuel rod and a surrounding moderator. Results from the present method are compared with those from the diffusion theory and from the collision probability method.
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