高速旋转流动中泰勒涡转捩点理论研究

Numerical Investigation of Taylor Vortex Initial Position of High-speed Rotating Flow

本文基于超临界二氧化碳涡轮主轴轴间的旋转流动过程,开展了高速转轴环形间隙中流动特性的理论研究。通过已有的实验数据对数值计算方法进行验证,并在泰勒数Ta=6.63×10^(10)~6.37×10^(11)的范围内研究多种因素对泰勒涡形成的影响。结果表明:在研究范围内,环形间隙中会形成泰勒涡,并且泰勒涡转捩点与长宽比、半径比、泰勒数和轴向雷诺数有关。同时,增大质量流量、降低转速、减小长宽比和增大半径比能抑制泰勒涡形成,提高流动稳定性。最后,通过整理数值结果获得了针对超临界二氧化碳泰勒库埃特泊肃叶流的泰勒涡转捩点的经验关联式,其平均误差为5.3%。

Based on the rotating flow process of supercritical carbon dioxide(SCO_(2))turbine shaft,this paper conducts a numerical investigation of flow characteristics with SCO_(2)in the high-speed rotating annulus.The numerical method for simulation of SCO_(2)Taylor-Couette-Poiseuille(TCP)fow is validated by existing experimental results.The key factors of Taylor vortices formation and Taylor vortex initial position are analyzed and discussed at the range of Ta=6.63×10^(10)~6.37×10^(11).As the results show,firstly,the Taylor vortices will be generated in the annulus,and the initial position of the vortex is related to axial ratio,radius ratio,Taylor number,and axial Reynolds number.Secondly,increasing the mass flow,decreasing the rotational speed,decreasing the aspect ratio and increasing the radius ratio can restrain the formation of Taylor vortex and improve the flow stability.Finally,a correlation of the initial position of Taylor vortex for SCO_(2)TCP flow is presented in this paper,and the relative average error of the correlation is 5.3%.