Yang Chen, Meiyu Zhang, A. R. Valeev, Changjun Li, A. M. Nechval, Peng Yang
{"title":"用于预测湍流管道流动中聚合物阻力降低情况的低雷诺数 k-ε 模型","authors":"Yang Chen, Meiyu Zhang, A. R. Valeev, Changjun Li, A. M. Nechval, Peng Yang","doi":"10.1007/s13367-024-00087-0","DOIUrl":null,"url":null,"abstract":"<div><p>Pipeline transport at high Reynolds number can result in significant turbulent losses. One of the most effective methods for turbulent drag reduction is adding a very small amount of polymer drag-reducing agent to the pipeline. However, due to the complex interaction between polymers and turbulence, turbulence models incorporating polymer additives remain to be studied and developed. In the present work, we investigated the turbulence model using Reynolds averaged numerical simulation (RANS) to describe polyacrylamide drag reduction flow. A low-Reynolds-number <i>k</i>–<i>ε</i> model in turbulent flow has been developed by considering the concentration and type of polymers, which can be applied for polymer drag reduction prediction in the pipe. Mean velocity profile <i>U</i><sub><i>f</i></sub>, turbulent intensity, turbulent kinetic energy <i>k</i>, and turbulent dissipation rate <i>ε</i> in the regions of viscous sublayer, buffer layer and logarithmic layer have been predicted with various concentration <i>θ</i>, Reynolds number Re, degradation degrees, and changing laws of these factors have been revealed with wall distance. The developed turbulence model showed a good capability to qualitatively forecast mean velocity profile, turbulent intensity, turbulent kinetic energy, and turbulent dissipation rate, and the prediction error between the experimental and simulated values falls along the <i>y</i> = <i>x</i> curve, which can be used for the investigation and prediction of varies water-soluble, oil-soluble polymers in turbulent drag reduction flow in pipes with other parameters such as pipe diameter, pipe length, and the Reynolds number.</p></div>","PeriodicalId":683,"journal":{"name":"Korea-Australia Rheology Journal","volume":"36 2","pages":"131 - 143"},"PeriodicalIF":2.2000,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A low-Reynolds-number k–ε model for polymer drag-reduction prediction in turbulent pipe flow\",\"authors\":\"Yang Chen, Meiyu Zhang, A. R. Valeev, Changjun Li, A. M. Nechval, Peng Yang\",\"doi\":\"10.1007/s13367-024-00087-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Pipeline transport at high Reynolds number can result in significant turbulent losses. One of the most effective methods for turbulent drag reduction is adding a very small amount of polymer drag-reducing agent to the pipeline. However, due to the complex interaction between polymers and turbulence, turbulence models incorporating polymer additives remain to be studied and developed. In the present work, we investigated the turbulence model using Reynolds averaged numerical simulation (RANS) to describe polyacrylamide drag reduction flow. A low-Reynolds-number <i>k</i>–<i>ε</i> model in turbulent flow has been developed by considering the concentration and type of polymers, which can be applied for polymer drag reduction prediction in the pipe. Mean velocity profile <i>U</i><sub><i>f</i></sub>, turbulent intensity, turbulent kinetic energy <i>k</i>, and turbulent dissipation rate <i>ε</i> in the regions of viscous sublayer, buffer layer and logarithmic layer have been predicted with various concentration <i>θ</i>, Reynolds number Re, degradation degrees, and changing laws of these factors have been revealed with wall distance. The developed turbulence model showed a good capability to qualitatively forecast mean velocity profile, turbulent intensity, turbulent kinetic energy, and turbulent dissipation rate, and the prediction error between the experimental and simulated values falls along the <i>y</i> = <i>x</i> curve, which can be used for the investigation and prediction of varies water-soluble, oil-soluble polymers in turbulent drag reduction flow in pipes with other parameters such as pipe diameter, pipe length, and the Reynolds number.</p></div>\",\"PeriodicalId\":683,\"journal\":{\"name\":\"Korea-Australia Rheology Journal\",\"volume\":\"36 2\",\"pages\":\"131 - 143\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-02-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Korea-Australia Rheology Journal\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13367-024-00087-0\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Korea-Australia Rheology Journal","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s13367-024-00087-0","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
摘要
在高雷诺数条件下进行管道输送会产生巨大的紊流损失。减少湍流阻力的最有效方法之一是在管道中添加极少量的聚合物减阻剂。然而,由于聚合物与湍流之间复杂的相互作用,加入聚合物添加剂的湍流模型仍有待研究和开发。在本研究中,我们使用雷诺平均数值模拟(RANS)研究了描述聚丙烯酰胺减阻流的湍流模型。考虑到聚合物的浓度和类型,建立了湍流中的低雷诺数 k-ε 模型,该模型可用于管道中聚合物减阻预测。在不同浓度 θ、雷诺数 Re 和降解度条件下,预测了粘性子层、缓冲层和对数层区域的平均速度剖面 Uf、湍流强度、湍流动能 k 和湍流耗散率 ε,并揭示了这些因素随壁距的变化规律。所建立的湍流模型对平均速度廓线、湍流强度、湍流动能和湍流耗散率具有良好的定性预测能力,且实验值与模拟值之间的预测误差沿 y = x 曲线下降,可用于研究和预测管道中不同水溶性、油溶性聚合物在湍流降阻流动中与管道直径、管道长度和雷诺数等其他参数的关系。
A low-Reynolds-number k–ε model for polymer drag-reduction prediction in turbulent pipe flow
Pipeline transport at high Reynolds number can result in significant turbulent losses. One of the most effective methods for turbulent drag reduction is adding a very small amount of polymer drag-reducing agent to the pipeline. However, due to the complex interaction between polymers and turbulence, turbulence models incorporating polymer additives remain to be studied and developed. In the present work, we investigated the turbulence model using Reynolds averaged numerical simulation (RANS) to describe polyacrylamide drag reduction flow. A low-Reynolds-number k–ε model in turbulent flow has been developed by considering the concentration and type of polymers, which can be applied for polymer drag reduction prediction in the pipe. Mean velocity profile Uf, turbulent intensity, turbulent kinetic energy k, and turbulent dissipation rate ε in the regions of viscous sublayer, buffer layer and logarithmic layer have been predicted with various concentration θ, Reynolds number Re, degradation degrees, and changing laws of these factors have been revealed with wall distance. The developed turbulence model showed a good capability to qualitatively forecast mean velocity profile, turbulent intensity, turbulent kinetic energy, and turbulent dissipation rate, and the prediction error between the experimental and simulated values falls along the y = x curve, which can be used for the investigation and prediction of varies water-soluble, oil-soluble polymers in turbulent drag reduction flow in pipes with other parameters such as pipe diameter, pipe length, and the Reynolds number.
期刊介绍:
The Korea-Australia Rheology Journal is devoted to fundamental and applied research with immediate or potential value in rheology, covering the science of the deformation and flow of materials. Emphases are placed on experimental and numerical advances in the areas of complex fluids. The journal offers insight into characterization and understanding of technologically important materials with a wide range of practical applications.