{"title":"Comparison Between Prandtl’s Mixing Length Model and DNS Data for a Channel Flow Up to Reτ ≈ 5200","authors":"G. Tcaciuc, A. Elgarayhi, A G Lupu, A. Popescu","doi":"10.2478/bipcm-2022-0008","DOIUrl":null,"url":null,"abstract":"Abstract This paper presents a theoretical study of fully developed turbulent flow in a channel at friction Reynolds numbers of 1000, 2000 and 5200. For the momentum equation, Reynolds Averaged Navier-Stokes (RANS) approach was used, where the Reynolds stress was modeled using Prandtl’s mixing length model with Van Driest’s modification to capture the damping effect near wall. The velocity profile was computed by solving the non-linear ODE for momentum using Euler’s method. The results were compared with the latest available DNS data.","PeriodicalId":244525,"journal":{"name":"Bulletin of the Polytechnic Institute of Iași. Machine constructions Section","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Polytechnic Institute of Iași. Machine constructions Section","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/bipcm-2022-0008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract This paper presents a theoretical study of fully developed turbulent flow in a channel at friction Reynolds numbers of 1000, 2000 and 5200. For the momentum equation, Reynolds Averaged Navier-Stokes (RANS) approach was used, where the Reynolds stress was modeled using Prandtl’s mixing length model with Van Driest’s modification to capture the damping effect near wall. The velocity profile was computed by solving the non-linear ODE for momentum using Euler’s method. The results were compared with the latest available DNS data.
摘要本文对摩擦雷诺数为1000、2000和5200时通道内完全发展的湍流进行了理论研究。对于动量方程，采用Reynolds average Navier-Stokes (RANS)方法，其中Reynolds应力采用Prandtl混合长度模型和Van Driest修正模型来建模，以捕捉壁面附近的阻尼效应。用欧拉法求解动量非线性ODE，计算速度剖面。结果与最新可用的DNS数据进行了比较。
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