On the asymptotic solution of the Maxey-Riley equation
On the asymptotic solution of the Maxey-Riley equation
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关于Maxey-Riley方程的渐近解
DOI：
10.1063/1.2204064
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发表时间：
2006
影响因子：
4.6
通讯作者：
E. Bar
中科院分区：
文献类型：
--
作者：
E. Mograbi;E. Bar
Maxey-Riley [Phys.Fluids26，883（1983）]的粒子运动方程被认为是没有历史项和渐近小的Stokes数。该方程承认一个全局吸引不变流形确定为欧拉粒子速度场渐近接近未扰动的流体速度场，从而抑制无关紧要的初始瞬态。一个递归的渐近计划获得的计算的不变流形在任何顺序的精度。不变流形上的粒子方程的维数减少了一半，这大大方便了它在物理空间中的运动分析。结构稳定性理论对质点运动提供了全面的定性描述。
The Maxey-Riley [Phys. Fluids 26, 883 (1983)] particle equation of motion is considered without the history term and for an asymptotically small Stokes number. The equation admits a globally attractive invariant manifold identified as the Eulerian particle velocity field asymptotically close to the unperturbed fluid velocity field, thus suppressing the inconsequential initial transients. A recursive asymptotic scheme is obtained for the calculation of the invariant manifold in any order of accuracy. The dimension of the particle equation on the invariant manifold is reduced by half, which considerably facilitates the analysis of its motion in physical space. Structural stability theory provides comprehensive qualitative description of the particle motion.