{"title":"气液接触器的相关尺寸","authors":"J.M. Hay, C. Hudson, C.L. Briens","doi":"10.1016/S0923-0467(96)03127-2","DOIUrl":null,"url":null,"abstract":"<div><p>Recent developments in non-linear dynamics and complex phenomena have resulted in mathematical tools which are potentially useful in the control and design of bubble column reactors. It is conjectured that analysis of conductivity time series, measured in a bubble column, indicated a low-dimensional chaotic attractor. The cross-sectional average correlation dimension varied with the liquid and the gas flow rate. The cross-sectional average correlation dimension characterized the global bubble column hydrodynamics and, more specifically, the average bubble size.</p></div>","PeriodicalId":101226,"journal":{"name":"The Chemical Engineering Journal and the Biochemical Engineering Journal","volume":"64 1","pages":"Pages 157-167"},"PeriodicalIF":0.0000,"publicationDate":"1996-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0923-0467(96)03127-2","citationCount":"3","resultStr":"{\"title\":\"Correlating dimension for a gas-liquid contactor\",\"authors\":\"J.M. Hay, C. Hudson, C.L. Briens\",\"doi\":\"10.1016/S0923-0467(96)03127-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Recent developments in non-linear dynamics and complex phenomena have resulted in mathematical tools which are potentially useful in the control and design of bubble column reactors. It is conjectured that analysis of conductivity time series, measured in a bubble column, indicated a low-dimensional chaotic attractor. The cross-sectional average correlation dimension varied with the liquid and the gas flow rate. The cross-sectional average correlation dimension characterized the global bubble column hydrodynamics and, more specifically, the average bubble size.</p></div>\",\"PeriodicalId\":101226,\"journal\":{\"name\":\"The Chemical Engineering Journal and the Biochemical Engineering Journal\",\"volume\":\"64 1\",\"pages\":\"Pages 157-167\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0923-0467(96)03127-2\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Chemical Engineering Journal and the Biochemical Engineering Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0923046796031272\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Chemical Engineering Journal and the Biochemical Engineering Journal","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0923046796031272","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Recent developments in non-linear dynamics and complex phenomena have resulted in mathematical tools which are potentially useful in the control and design of bubble column reactors. It is conjectured that analysis of conductivity time series, measured in a bubble column, indicated a low-dimensional chaotic attractor. The cross-sectional average correlation dimension varied with the liquid and the gas flow rate. The cross-sectional average correlation dimension characterized the global bubble column hydrodynamics and, more specifically, the average bubble size.
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