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孙健,许春晓,黄伟希.液浮转子微陀螺筒间流动阻力矩参数影响
Parametric effects on drag moments of a flow between two cylinders in a micro-gyroscope with a liquid-filled rotor[J].计算力学学报,2017,(4):493~500
液浮转子微陀螺筒间流动阻力矩参数影响
Parametric effects on drag moments of a flow between two cylinders in a micro-gyroscope with a liquid-filled rotor
Parametric effects on drag moments of a flow between two cylinders in a micro-gyroscope with a liquid-filled rotor
投稿时间:2016-04-26  修订日期:2016-08-25
DOI:10.7511/jslx201704015
中文关键词:  液浮转子微陀螺  阻力矩  谱元-Fourier法  Navier-Stokes方程  直接数值模拟
英文关键词:micro-gyroscope  drag moment  spectral element-Fourier method  Navier-Stokes equations  direct numerical simulation
基金项目:国家自然科学基金(11322221,11472154)资助项目.
作者单位E-mail
孙健 中国航天空气动力技术研究院, 北京 100074;清华大学 航天航空学院, 北京 100084 547800790@qq.com 
许春晓 清华大学 航天航空学院, 北京 100084  
黄伟希 清华大学 航天航空学院, 北京 100084  
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中文摘要:
      建立简化计算模型,将一种具有空间指数收敛特性的谱元-Fourier法引入复杂的液浮转子微陀螺筒间流动的直接数值模拟。对于柱坐标系下不可压缩Navier-Stokes方程,在子午面的径向和轴向采用Galerkin谱元法,进行标准化的Gauss-Lobatto-Legendre节点展开,在周向采用Fourier级数展开法。设定基准算例,计算分析了高径比、旋转速度和黏性系数等参数对内筒侧面和内筒端面阻力矩的影响。结果表明,两种阻力矩都随这些参数的增大而增大,且对总阻力矩的贡献量级相当。
英文摘要:
      A simplified computational model is developed so that a spectral element-Fourier method with spatial exponential convergence property is introduced as a direct numerical simulation method for a complex flow between two cylinders in a micro-gyroscope with a liquid-filled rotor.In cylindrical coordinate system,the incompressible Navier-Stokes equations is solved through using a Galerkin spectral element method both in radical and axial directions,and the Gauss-Lobatto-Legendre nodal expansion is implemented in each standardized element while the Fourier series expansion is used in azimuthal direction.Based on a specified baseline numerical example,the effects of several parameters,namely the ratio of height to radius,rotating velocity and viscosity coefficient,on the drag moments of the inner cylinder lateral surface and end surface are investigated and analysed.Results show that the two drag moments increase with these parameters and both contributions to the total drag moment are comparative in magnitude order.
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