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Transient Thermal Response of Turbulent Compressible Boundary Layers

机译:湍流可压缩边界层的瞬态热响应

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摘要

A numerical method is developed with the capability to predict transient thermal boundary layer response under various flow and thermal conditions. The transient thermal boundary layer variation due to a moving compressible turbulent fluid of varying temperature was numerically studied on a two-dimensional semi-infinite flat plate. The compressible Reynolds-averaged boundary layer equations are transformed into incompressible form through the Dorodnitsyn-Howarth transformation and then solved with similarity transformations. Turbulence is modeled using a two-layer eddy viscosity model developed by Cebeci and Smith, and the turbulent Prandtl number formulation originally developed by Kays and Crawford. The governing differential equations are discretized with the Keller-box method. The numerical accuracy is validated through grid-independence studies and comparison with the steady state solution. In turbulent flow as in laminar, the transient heat transfer rates are very different from that obtained from quasi-steady analysis. It is found that the time scale for response of the turbulent boundary layer to far-field temperature changes is 40% less than for laminar flow, and the turbulent local Nusselt number is approximately 4 times that of laminar flow at the final steady state.
机译:开发了一种能够预测各种流量和热条件下瞬态热边界层响应的数值方法。在二维半无限平板上,对由于温度变化引起的可压缩湍流运动而引起的瞬态热边界层变化进行了数值研究。通过Dorodnitsyn-Howarth变换将可压缩的雷诺平均边界层方程式转换为不可压缩的形式,然后通过相似性变换求解。湍流是使用Cebeci和Smith开发的两层涡流粘度模型以及Kays和Crawford最初开发的湍流Prandtl数模型进行建模的。控制微分方程采用Keller-box方法离散化。通过与电网无关的研究以及与稳态解的比较来验证数值精度。与层流一样,在湍流中,瞬态传热速率与从准稳态分析中获得的瞬态传热速率有很大不同。发现湍流边界层对远场温度变化的响应时间尺度比层流的时间尺度小40%,湍流局部Nusselt数约为最终稳态时层流的4倍。

著录项

  • 来源
    《Journal of Heat Transfer》 |2011年第8期|p.081701.1-081701.8|共8页
  • 作者单位

    School of Mechanical Engineering,Purdue University,West Lafayette, IN 47907;

    Department of Mechanical Engineering,Indiana University-Purdue University,Indianapolis, IN 46202;

    School of Mechanical Engineering,Purdue University,West Lafayette, IN 47907;

  • 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

    boundary layer; turbulent; wave rotor; transient;

    机译:边界层;湍流波浪转子短暂的;

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