方形颗粒沉降运动的有限元ALE法直接数值模拟
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重庆市科委自然基金资助项目(CSTC,2006BA3023)


Direct numerical simulation of sedimentation of rectangular particle with ALE method
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    摘要:

    采用有限元任意拉格朗日欧拉(ALE)法对方形颗粒在二维垂直通道中的沉降运动进行研究。对不同初始取向角、长宽比以及不同雷诺数情况下单个颗粒的沉降过程进行了数值模拟。结果表明,雷诺数一定时,初始取向角对颗粒沉降过程有很大影响。初始取向角增大,颗粒的取向角、沉降速度、角速度以及横向漂移速度的振幅都将增大;长宽比对其沉降过程的影响与长宽尺寸有关。但是,无论长宽尺寸是多少,长宽比增大,颗粒最终沉降速度将相应减小;雷诺数对颗粒沉降过程也有很大影响。当雷诺数小于某个临界值时,颗粒最终会稳定沉降;当雷诺数较大时,颗粒的横向漂移和取向角都会出现持久振荡。多个方形颗粒在沉降过程中由于颗粒之间的相互作用,会出现倒“T”形结构,并且随着时间的推移,逐渐趋向于水平位置。

    Abstract:

    The settling behaviors of rectangular particles with different initial orientation angles, aspect ratios and Reynolds numbers are simulated by using finite element arbitrary LagrangianEulerian domain method. The results show that the settling behaviors of the rectangular particle are affected significantly by the initial orientation angle under certain Reynolds number. With the increasing initial orientation angle, the fluctuation of the orientation angle, setting velocity,rotation velocity and lateral drifting velocity all increase. The impact of aspect ratio on the process of settlement has a strong relationship with the magnitudes of length and width. However, regardless of the magnitudes of length and width, when aspect ratio increased, final settling velocity decreases accordingly. Reynolds number of particle deposition process has a great impact on sedimentation process as well. If the Reynolds number is below a critical value, the particle eventually settles steadily. At larger Reynolds number,the oscillation of lateral motion and orientation angle become persistent. An inverted Tstructure forms due to the interaction between particles when many particles fall in the channel, and particles tend to horizontally positioned when the time span increases.

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吕红,唐胜利.方形颗粒沉降运动的有限元ALE法直接数值模拟[J].重庆大学学报,2010,33(6):83-90.

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  • 收稿日期:2010-01-18
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