k-ω湍流模型在流动阻力数值模拟中的应用研究

Application of k-ω Turbulence Models on Numerical Simulation of Frictional Drag

针对湍流模型在计算流动阻力时都有自己的适用范围,通过计算流体动力学软件Fluent中的标准k-ω湍流模型和SSTk-ω湍流模型对湍流流动阻力进行数值模拟。根据尼古拉兹实验,分别在紊流光滑管区和紊流粗糙管过渡区对模拟结果与实验结果进行对比分析。分析结果表明,标准k-ω湍流模型和SSTk-ω湍流模型适用于紊流光滑管区;在紊流光滑管区,标准k-ω湍流模型和SSTk-ω湍流模型模拟结果与实验结果吻合性较好;在紊流粗糙管过渡区,标准k-ω湍流模型和SSTk-ω湍流模型模拟结果与实验结果偏差较大,且随雷诺数增加偏差越来越大。该研究为k-ω湍流模型在流动阻力数值模拟中的应用提供了理论参考,具有十分重要的理论意义。

The applicable region of calculating frictional drag by turbulence model is limited. The stand κ-ω turbulence model and SST κ-ω turbulence model in the CFD software Fluent is applied on numerical simulation of frictional drag. The computational results and relevant experiment data are compared in hydraulically smooth zero of turbulent pipe flow and transitional rough zone of turbulent pipe flow, which are based on Nikuradse experiment. It is confirmed that stand κ-ω turbulence model and SST κ-ω turbulence model are suitable for hydraulically smooth zero of turbulent pipe flow, and the results of the numerical simulation from stand κ-ω turbulence model and SST κ-ω turbulence model have a good agreement with the experimental result in hydraulically smooth zero of turbulent pipe flow. However, the results of the numerical simulation from stand κ-ω turbulence model and SST κ-ω turbulence model have a bad agreement with the experimental result in transitional rough zone of turbulent pipe flow, and the deviation will become bigger and bigger with the increase of Re. This study provides a theoretical reference for the application of κ-ω on the numerical simulation of frictional drag, which has very important theoretical significance.