CONCENTRATION WAVES AND FLOW MODIFICATION IN A PARTICLE-LADEN CIRCULAR VORTEX

CONCENTRATION WAVES AND FLOW MODIFICATION IN A PARTICLE-LADEN CIRCULAR VORTEX
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含颗粒圆形涡流中的浓度波和流动修正

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发表时间:
1994
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通讯作者:
O. Druzhinin
O. Druzhinin
中科院分区:
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文献类型:
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作者:
O. Druzhinin

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用解析和数值方法研究了二维轴对称固体重粒子涡旋的演化。颗粒相被假定为足够稀以忽略颗粒-颗粒碰撞的影响。只有足够小的颗粒斯托克斯(St)和雷诺数被认为是,可以推导出颗粒速度的近似解。一个柯西问题的解析解得到初始均匀浓度的颗粒在一个圆形的流动描述的运动波的形式和相应的修改的载体流的颗粒的积累。根据该解,浓度的陡峭峰值形成从涡流向外传播的波峰。由于两相之间的相互作用,产生了指向涡流中心的流体速度分量,使得在波峰附近,涡流获得螺旋状形状。在后期阶段,冠的生长是...
Evolution of a two‐dimensional axisymmetrical vortex laden with solid heavy particles is studied analytically and numerically. The particulate phase is assumed to be dilute enough to neglect the effects of particle–particle collisions. Only sufficiently small particle Stokes (St) and Reynolds numbers are considered, for which an approximate solution for the particle velocity can be derived. An analytical solution to a Cauchy problem is obtained for initially uniform concentration of particles in a circular flow describing the accumulation of particles in the form of a kinematic wave and the corresponding modification of the carrier flow. According to this solution, a steep peak of the concentration develops forming the wave crest which propagates out of the vortex. Due to the interaction between the two phases, a fluid velocity component directed towards the vortex center is generated, so that in the vicinity of the crest the vortex acquires a spiral‐like shape. At later stages, the growth of the crest is...