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首页> 外文期刊>Journal of Heat Transfer >On the Relaxation Time Scales of the Classical Thermodynamic Model for Heat Transfer in Quiescent Compressible Fluids
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On the Relaxation Time Scales of the Classical Thermodynamic Model for Heat Transfer in Quiescent Compressible Fluids

机译:静态可压缩流体传热经典热力学模型的弛豫时间尺度

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摘要

An approximate solution of the classical thermodynamic model for compressible heat transfer of a quiescent supercritical fluid under microgravity leads to the well-known piston effect relaxation time t-(PE) = t_D/(γ_0 - 1)~2 , where t_D is the thermal diffusion relaxation time and γ_0 is the ratio between specific heats. This relaxation time represents an upper bound for the asymptotic bulk temperature behavior during very early times, which shows a strong algebraic relaxation due to the piston effect. This paper demonstrates that an additional relaxation time associated with the piston effect exists in this classical thermodynamic model, namely, t_E = t_D/γ_0- Furthermore, it shows that t_E represents the time required by the bulk temperature to reach steady-state. Comparisons with a numerical solution of the compressible Navier-Stokes equations as well as experimental data indicate the validity of this new analytical expression and its physical interpretation.
机译:静态超临界流体在微重力下可压缩传热的经典热力学模型的近似解导致众所周知的活塞效应弛豫时间t-(PE)= t_D /(γ_0-1)〜2,其中t_D为热扩散弛豫时间和γ_0是比热之间的比率。该弛豫时间代表了非常早期时渐近体温行为的上限,这表明由于活塞效应而产生的强代数弛豫。本文证明了在这种经典的热力学模型中存在与活塞效应相关的额外松弛时间,即t_E = t_D /γ_0-。此外,它表明t_E表示整体温度达到稳态所需的时间。与可压缩的Navier-Stokes方程的数值解以及实验数据的比较表明,这种新的分析表达式及其物理解释是有效的。

著录项

  • 来源
    《Journal of Heat Transfer》 |2016年第10期|102004.1-102004.9|共9页
  • 作者

    Leonardo S. de B. Alves;

  • 作者单位

    Laboratorio de Mecanica Teorica e Aplicada, Departamento de Engenharia Mecanica, Universidade Federal Fluminense, Niteroi, Rio de Janeiro 24210-240, 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
  • 中图分类
  • 关键词

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