描述超临界流体湍流流动传热行为的雷诺平均Navier-Stokes方程

文章信息

Reynolds-Averaged Navier-Stokes Equations Describing Turbulent Flow and Heat Transfer Behavior for Supercritical Fluid

描述超临界流体湍流流动传热行为的雷诺平均Navier-Stokes方程

YANG Zheng, CHENG Xu, ZHENG Xinghua, CHEN Haisheng

杨征，程旭，郑兴华，陈海生

1. 中国科学院工程热物理研究所

2. 中国科学院大学

3. 中国科学院洁净能源创新研究院

4. 德国卡尔斯鲁厄理工学院

Corresponding author: CHEN Haisheng

E-mail:chen_hs@mail.etp.ac.cn

Journal of Thermal Science, 2021, 30(1): 191-200.

https://doi.org/10.1007/s11630-020-1339-6

Keywords:SCF-RANS equations, supercritical fluid, turbulence, Reynolds-averaged, Navier-Stokes equations

Springer Link下载链接或点击“阅读原文”: 

https://link.springer.com/article/10.1007/s11630-020-1339-6

摘  要

中文导读：超临界流体已经在许多工业领域得到了应用。目前，传统的雷诺平均Navier-Stokes方法（RANS）被直接应用于超临界流体湍流流动传热的模拟，忽略了由于超临界流体物性剧烈变化引发的湍流输运效果。该文章将涉及的所有参数作为变量，推导了一整套适用于超临界流体湍流流动传热的雷诺平均Navier-Stokes方程组(SCF-RANS)。由于热物性的脉动作用，SCF-RANS方程组包含许多新的关联项。为了封闭SCF-RANS方程组，该文讨论了针对这些新关联项的建模方法。这些关联项有的已经有了相对成熟的模型，而其它的关联项则是全新的，需要对其进行深入的物理理论分析来提出合理的模型。该文对这些新的关联项提供了作者所知的参考信息。SCF-RANS方程组不仅提供了适用于超临界流体湍流流动传热的方程组，而且代表了最复杂的RANS方法的方程形式，因为方程组中所有涉及的物理参数都被作为变量处理，没有进行任何形式的简化。

Abstract

Supercritical fluid has been widely applied in many industrial applications. The traditional Reynolds-averaged Navier-Stokes (RANS) equations are directly applied for turbulent flow and heat transfer of the supercritical fluid, ignoring turbulent effect of the thermal physical properties due to the intense nonlinearity. This paper deduces a set of Reynolds-averaged Navier-Stokes equations for supercritical fluid (SCF-RANS equations) to depict turbulent flow and heat transfer of the supercritical fluid taking all the physical parameters as variables. The SCF-RANS equations include many new correlation terms due to fluctuation of the thermal physical properties. Model methods for the new correlation term have been discussed for closing the SCF-RANS equations. Some of them have relatively mature models, while others are completely new and need profound physical theoretical analysis for proposing reasonable models. This paper provides referable information for these new correlations as far as authors know. The SCF-RANS equations not only provide the formulation special for flow and heat transfer of the supercritical fluid, but also represent the most sophisticate form of the RANS equations, for every involved physical property has been considered as variable without any simplification.

图文导读

来源：中科院工程热物理研究所