摘要
通过求解三维不可压缩流Navier Stokes方程 ,数值模拟了旋转同心圆筒间的Couette Taylor流动问题 .计算预测了流动失稳的临界Reynolds (Rec)数及相应的空间失稳波长 ,与已有的实验结果相符很好 .同时 ,还计算显示了复杂的流场结构 ,结果表明 ,当Re小于Rec 时 ,流场为二维结构 ;当Re数增大到Rec数之后 ,流场发展成三维定常流动结构 ;当Re数进一步增大 。
A numerical study on Couette Taylor flows is performed by solving the three dimensional incompressible Navier Stokes equations in cylindrical coordinates. A fractional step method is employed to solve the equations. Critical unstable Reynolds number (Re \%c\%) and unstable wavelength have been predicted reasonably and are in good agreement with available experimental data. Some typical flow structures are revealed for different Reynolds numbers. The flow is two dimensional as Re<Re \%c\%, and becomes three dimensional steady flow structures when ReRe \%c\%. When Re increases further, unsteady three dimensional flow structures are formed.
基金
国家自然科学基金 ( 10 12 5 2 10 )
中国科学院"百人计划"
教育部"跨世纪优秀人才培养计划"资助项目
