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方形粒子在Oldroyd-B流体中的沉降特性
引用本文:邵雪明,孙光明,余钊圣.方形粒子在Oldroyd-B流体中的沉降特性[J].浙江大学学报(自然科学版 ),2007,41(11):1941-1944.
作者姓名:邵雪明  孙光明  余钊圣
作者单位:浙江大学 力学系,流体传动及控制国家重点实验室,浙江 杭州 310027
基金项目:国家自然科学基金资助项目(10472104)
摘    要:为研究方形粒子在黏弹性流体中的沉降特性,应用基于分布式拉格朗日乘子的虚拟区域方法对方形粒子在Oldroyd B流体中的沉降运动进行了数值模拟.通过模拟得到了不同长宽比粒子的沉降轨迹、取向角和沉降速度的变化情况,并讨论了不同形状粒子的沉降特性.当方形粒子在Oldroyd B流体中沉降时,粒子的平衡取向为长边与重力方向平行,平衡位置为方槽的中心线.粒子的长宽比对沉降过程的影响较大,长宽比大的粒子在沉降过程中具有较大的横向漂移和沉降速度.当水力直径相同时,圆形粒子具有最大的沉降速度,而正方形粒子的沉降速度最小.

关 键 词:方形粒子  Oldroyd-B流体  沉降  拉格朗日乘子/虚拟区域方法
文章编号:1008-973X(2007)11-1941-04
修稿时间:2006年2月1日

Sedimentation of rectangular particle in Oldroyd-B fluid
SHAO Xue-ming,SUN Guang-ming,YU Zhao-sheng.Sedimentation of rectangular particle in Oldroyd-B fluid[J].Journal of Zhejiang University(Engineering Science),2007,41(11):1941-1944.
Authors:SHAO Xue-ming  SUN Guang-ming  YU Zhao-sheng
Abstract:The sedimentation of a rectangular particle in a two-dimensional channel filled with an Oldroyd-B fluid was simulated by using distributed Lagrange multiplier/fictitious domain method in order to investigate the settling characteristics of rectangular particle in a viscoelastic fluid.The sedimenting trajectory, velocity and orientation of particles with different aspect ratio were obtained,and the effect of particle's shape on the sedimenting velocity was also discussed.Results show that the stable orientation of a settling rectangular particle in an Oldroyd-B fluid is that the longest line of the body parallels to gravity,and the final equilibrium position is at the center of the channel.The aspect ratio of rectangular particle has significant influence on its settling behavior.Both the lateral drifting distance and the sedimenting velocity increase with increasing aspect ratio.For different particles with same hydraulic diameter,the circular particle has the largest final sedimenting velocity while the square particle has the least one.
Keywords:rectangular particle  Oldroyd-B fluid  sedimentation  Lagrange multiplier/fictitious domain method
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