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首页> 外文期刊>International Journal of Heat and Mass Transfer >Scaling for the Prandtl number of the natural convection boundary layer of an inclined flat plate under uniform surface heat flux
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Scaling for the Prandtl number of the natural convection boundary layer of an inclined flat plate under uniform surface heat flux

机译：均匀表面热通量下倾斜平板自然对流边界层的Prandtl数换算

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摘要

An improved scaling analysis and direct numerical simulations are performed for the unsteady natural convection boundary layer adjacent to a downward facing inclined plate with uniform heat flux. The development of the thermal or viscous boundary layers may be classified into three distinct stages: a start-up stage, a transitional stage and a steady stage, which can be clearly identified in the analytical as well as the numerical results. Previous scaling shows that the existing scaling laws of the boundary layer thickness, velocity and steady state time scale for the natural convection flow on a heated plate of uniform heat flux provide a very poor prediction of the Prandtl number dependency of the flow. However, those scalings perform very well with Rayleigh number and aspect ratio dependency. In this study, a modified Prandtl number scaling is developed using a triple-layer integral approach for Pr> 1. It is seen that in comparison to the direct numerical simulations, the modified scaling performs considerably better than the previous scaling.
机译：对与具有均匀热通量的朝下倾斜板相邻的非自然对流边界层进行了改进的比例分析和直接数值模拟。热边界层或粘性边界层的发展可分为三个不同的阶段：启动阶段，过渡阶段和稳定阶段，这可以在分析以及数值结果中清楚地识别出来。先前的缩放显示，在均匀热通量的加热板上自然对流的边界层厚度，速度和稳态时标的现有缩放定律，对流动的普朗特数依赖性的预测非常差。但是，这些缩放比例在瑞利数和纵横比相关性方面表现很好。在这项研究中，使用三层积分方法对Pr> 1开发了改进的Prandtl数标度。可以看出，与直接数值模拟相比，改进的标度比以前的标度要好得多。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2012年第10期|p.2394-2401|共8页
  • 作者

    Suvash C. Saha; Richard J. Brown; Y.T. Gu;

  • 作者单位

    School of Chemistry, Physics & Mechanical Engineering, Queensland University of Technology, 2 George St., GPO Box 2434, Brisbane QLD 4001, Australia;

    School of Chemistry, Physics & Mechanical Engineering, Queensland University of Technology, 2 George St., GPO Box 2434, Brisbane QLD 4001, Australia;

    School of Chemistry, Physics & Mechanical Engineering, Queensland University of Technology, 2 George St., GPO Box 2434, Brisbane QLD 4001, Australia;

  • 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; inclined plate; heat flux; prandtl number;

    机译：边界层;斜板;热通量;普朗特数;

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