应用任意拉格朗日-欧拉(ALE)算法,对椭圆形颗粒在一定雷诺数范围内的沉降过程进行了数值模拟,流体运动由守恒方程计算,通过积分黏性应力和压力获得的颗粒受力来跟踪颗粒运动.结果表明:圆形颗粒与初始时刻长轴垂直于x轴放置的椭圆颗粒,一直沿通道中心线稳定沉降;初始时刻长轴平行于x轴放置的椭圆颗粒,沉降时向一侧壁面旋转靠近,最终也稳定在通道中心线,颗粒长轴与颗粒沉降方向垂直;两种情况下的椭圆颗粒最终沉降速度相同.
Numerical simulation of the problem of elliptical solid particle sedimentation at certain Reynolds number is carried out with arbitrary Lagrangian-Eulerian technique.The fluid motion is computed by the conservation laws,and the particles are moved according to the equations of motion of a rigid body under the action of gravity and hydrodynamic forces arising from the motion of the fluid.The results show that the circular and the elliptical particle with its initial major axis perpendicular to x axis of coordinates settles along the center of the channel all the time;the elliptical particle with its initial major axis parallel to x axis of coordinates rotates while settling synchronously,then close to the center of the channel,and settles along the center finally with its major axis perpendicular to the direction of sedimentation;while the elliptical particles settle at the same velocity at last.