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Numerical investigation of buoyancy-induced flow in a sealed rapidly rotating disc cavity

机译：密封快速旋转圆盘腔内浮力诱导流动的数值研究

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摘要

This paper presents buoyancy-induced flow for a sealed rotating cavity with rotational Rayleigh number Ra in the range 10~7-10~9. DNS for an incompressible model with the Boussinesq approximation is compared with LES for a compressible gas flow model. The compressible solver's solutions show the shroud Nusselt number Nu scales with Ra0286, in close agreement with the corrected experimental correlation and the Ra2'1 scaling for gravitational heat convection between horizontal plates, but differs from the Nu α Ra~(1/3) scaling given by the incompressible solver. The shroud thermal boundary layer thickness, based on the root mean square of the temperature fluctuation, can be estimated with λ* = 0.5Nu~(-1). Velocities scale approximately with Ωa(β△T)~(1/2). Disc laminar Ekman layer behaviour is confirmed up to Ra = 109. An Ekman layer scrubbing effect, associated with the viscous energy dissipation, is considered to be mainly responsible for the difference in Nu between the two solvers at Ra = 10~9, in spite of rather small Eckert number. The analysis of the turbulent kinetic energy budget shows a dominant constant buoyancy production in the core. The use of the incompressible formulation for the considered problem is restricted by the applicable range of the Boussinesq approximation characterised by the buoyancy parameter β△T and neglect of viscous heating and compressibility effects characterised by the Eckert number Ec = Ω~2r_m~2/(Cp△T).
机译：本文提出了密封旋转腔的浮力引起的流动，其旋转瑞利数Ra在10〜7-10〜9范围内。将具有Boussinesq近似的不可压缩模型的DNS与可压缩气流模型的LES进行比较。可压缩解算器的解决方案显示Ra0286的寿衣Nusselt数Nu尺度，与校正后的实验相关性和水平板之间重力热对流的Ra2'1尺度密切相关，但不同于NuαRa〜（1/3）尺度由不可压缩的求解器给出。基于温度波动的均方根，可以根据λ* = 0.5Nu〜（-1）估算护罩热边界层厚度。速度大约与Ωa（β△T）〜（1/2）成比例。盘状层状Ekman层的行为在Ra = 109之前得到确认。与粘性能量耗散相关的Ekman层擦洗效果被认为是造成Ra = 10〜9时两个解算器之间Nu差异的主要原因。埃克特数很少。湍流动能收支的分析显示出核心中主要的恒定浮力产生。对于所考虑的问题，不可压缩配方的使用受到以浮力参数β△T为特征的Boussinesq逼近的适用范围以及以埃克特数Ec =Ω〜2r_m〜2 /（为特征的粘性热和压缩效应的忽略）的限制。 Cp△T）。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2020年第2期|118860.1-118860.14|共14页
  • 作者

    Feng Gao; Diogo B. Pitz; John W. Chew;

  • 作者单位

    Thermo-fluid systems UTC Faculty of Engineering and Physical Sciences University of Surrey Guildford UK;

    Department of Mechanical Engineering Federal University of Parana Curitiba Brazil Faculty of Mechanical Engineering University of Campinas Campinas Brazil;

  • 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
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