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A RANS model for heat transfer reduction in viscoelastic turbulent flow

机译:用于减少粘弹性湍流传热的RANS模型

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摘要

Direct numerical simulations (DNS) were carried out to investigate turbulent heat transfer in a channel flow of homogenous polymer solutions described by the Finitely Extensible Nonlinear Elastic-Peterlin (FENE-P) constitutive model at intermediate and high Prandtl numbers (Pr= 1.25 and 5). Time-averaged statistics of temperature fluctuations, turbulent heat fluxes, thermal turbulent diffusivity, and of budget terms of the temperature variance are reported and compared with those of the Newtonian fluid cases at the same Prandtl and Reynolds numbers. Moreover, twenty one sets of DNS data of fluid flow are utilized to improve existing k-ε-v~2-f models for FENE-P fluids to deal with turbulent flow of dilute polymer solutions up to the high drag reduction regime; specifically the dependency of closures on the wall friction velocity is removed. Furthermore, five sets of recent DNS data of fluid flow and heat transfer of FENE-P fluids were used to develop the first RANS model capable of predicting the heat transfer rates in viscoelastic turbulent flows. In this model, an existing closure for calculating the turbulent Prandtl number for Newtonian fluids is extended to deal with heat transfer in turbulent viscoelastic fluids. Predicted polymer stresses, velocity profiles, mean temperature profiles, and turbulent flow characteristics are all in good agreement with the DNS data, and show improvement over previous RANS models.
机译:进行了直接数值模拟(DNS),以研究在中等和高Prandtl数(Pr = 1.25和5)下均质聚合物溶液(由有限可扩展非线性弹性-彼得林(FENE-P)本构模型描述)的湍流传热。 )。报告了温度波动,湍流通量,热湍流扩散率和温度变化的预算项的时均统计数据,并将其与相同Prandtl和Reynolds数的牛顿流体情况进行了比较。此外,利用二十一组流体流动的DNS数据来改进现有的FENE-P流体的k-ε-v〜2-f模型,以处理稀聚合物溶液的湍流直至高减阻方案。特别是消除了封闭件对壁摩擦速度的依赖性。此外,使用五组最新的流体流动和FENE-P流体传热的DNS数据来开发第一个能够预测粘弹性湍流传热速率的RANS模型。在该模型中,扩展了用于计算牛顿流体湍流普朗特数的现有闭包,以处理湍流粘弹性流体中的热传递。预测的聚合物应力,速度分布,平均温度分布和湍流特性都与DNS数据非常吻合,并且显示出比以前的RANS模型有所改进。

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  • 作者单位

    Transport Phenomena Research Center, Faculty of Engineering, University of Porto, Rua Roberto Frias s, 4200-465 Porto, Portugal;

    Transport Phenomena Research Center, Faculty of Engineering, University of Porto, Rua Roberto Frias s, 4200-465 Porto, Portugal;

    Department of Mechanical Engineering, Hanbat National University, 125 Dongseo-daero, Yuseong-gu, Daejeon 305-701, South Korea;

    Department of Biomedical and Chemical Engineering, Syracuse University, NY 13244, USA,Department of Physics, Syracuse University, NY 13244, USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Newtonian and viscoelastic DNS; Drag reduction; FENE-P fluid; Viscoelastic RANS model; Heat transfer reduction;

    机译:牛顿和粘弹性DNS;减阻;FENE-P流体;粘弹性RANS模型;减少传热;

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