{"title":"MODELING OF TURBULENT MELT CONVECTION DURING CZOCHRALSKI BULK CRYSTAL GROWTH","authors":"V. Kalaev, A. Zhmakin, E. Smirnov","doi":"10.1088/1468-5248/3/1/013","DOIUrl":null,"url":null,"abstract":"We present the results of numerical simulation of three-dimensional unsteady turbulent melt convection duringCzo chralski (CZ) silicon crystal growth. A model combining the large-eddy simulation and Reynolds-averaged approaches has been developed to predict the contribution of unresolved turbulent motion. The model is examined for different growth conditions in an industrial CZ configuration. Data illustrating instantaneous and time-averaged behaviour of the melt are presented and compared with experimental observations. Thermal fluctuations in the melt are analysed with respect to spectral characteristics and compared with the temperature measurements performed by thermocouples and an optical sensor. This article was chosen from selected Proceedings of the Second International Symposium on Turbulence and Shear Flow Phenomena (KTH-Stockholm, 27-29 June 2001) ed E Lindborg, A Johansson, J Eaton, J Humphrey, N Kasagi, M Leschziner and M Sommerfeld.","PeriodicalId":438618,"journal":{"name":"Proceeding of Second Symposium on Turbulence and Shear Flow Phenomena","volume":"95 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding of Second Symposium on Turbulence and Shear Flow Phenomena","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1468-5248/3/1/013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
We present the results of numerical simulation of three-dimensional unsteady turbulent melt convection duringCzo chralski (CZ) silicon crystal growth. A model combining the large-eddy simulation and Reynolds-averaged approaches has been developed to predict the contribution of unresolved turbulent motion. The model is examined for different growth conditions in an industrial CZ configuration. Data illustrating instantaneous and time-averaged behaviour of the melt are presented and compared with experimental observations. Thermal fluctuations in the melt are analysed with respect to spectral characteristics and compared with the temperature measurements performed by thermocouples and an optical sensor. This article was chosen from selected Proceedings of the Second International Symposium on Turbulence and Shear Flow Phenomena (KTH-Stockholm, 27-29 June 2001) ed E Lindborg, A Johansson, J Eaton, J Humphrey, N Kasagi, M Leschziner and M Sommerfeld.