DSMC numerical simulation of Taylor-Couette flows
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摘要: 使用圆柱坐标系网格的三维DSMC(Direct Simulation Monte Carlo)模型,对同轴圆柱间Taylor-Couette流中Taylor涡的形成进行了数值模拟,并分析了不同计算域和边界条件下稳定流场中Taylor涡的轴向排列结构.在网格设置和流场参数不变的情况下,使用轴对称DSMC模型对Taylor涡进行数值模拟,所得Taylor涡的稳定过程与三维结果一致,验证了使用三维DSMC方法来解决微尺度低速的稀薄气流问题的可行性.三维模拟结果表明Taylor涡以较大的圆周速度绕轴旋转,二维模拟则无法体现.对不同的内圆柱旋转速度进行数值模拟,确定了能够产生Taylor涡的临界速度值.Abstract: Taylor vortices in Taylor-Couette flow between two coaxial cylinders were simulated numerically using 3D direct simulation Monte Carlo(DSMC) model with grids in cylindrical coordinates. The axial vortices structure in stable flow was investigated for different computation domains under different boundary conditions. Axisymmetric DSMC model was also used to simulate the Taylor vortices with the same grid and the same flow field parameters. The results accord well with the 3D results, validating that it-s feasible to simulate micro-scale and low-speed rarefied gas flows by 3D DSMC method. The 3D results show that Taylor vortices rotate around the axis in a great circumferential speed, which could not be acquired in axisymmetric results. The critical value of rotational speed of inner cylinder at which Taylor vortices could be generated was figured out by several simulations.
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Key words:
- Taylor vortices /
- direct simulation Monte Carlo(DSMC) /
- 3D /
- axial vortices structure
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