The inertial lift on a spherical particle in a plane Poiseuille flow at large channel Reynolds number
The inertial lift on a spherical particle in a plane Poiseuille flow at large channel Reynolds number
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DOI：
10.1017/s0022112098003474
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发表时间：
1999-02-25
影响因子：
3.7
通讯作者：
Asmolov, ES
中科院分区：
文献类型：
--
作者：
Asmolov, ES
研究了在大通道雷诺数下，平移平行于壁面的刚性小球体在槽道内的惯性迁移问题。采用匹配渐近展开法求解了小颗粒雷诺数下的扰动流动方程，并计算了其升力。中性浮力粒子和非中性浮力粒子都被考虑。在壁面附近的薄层中，壁面引起的惯性很大，在壁面附近，升力与线性剪切流的计算值相近，且以单个壁面为边界。在流动的主要部分，不包括近壁层，壁面效应可以忽略，而外部如何通过球体可以视为无边界抛物线剪切流。无扰动速度剖面曲率的影响是显著的，即使在较大的雷诺数下，升力也不同于线性剪切流的数值。
The inertial migration of a small rigid sphere translating parallel to the walls within a channel flow at large channel Reynolds numbers is investigated. The method of matched asymptotic expansions is used to solve the equations governing the disturbance flow past a particle at small particle Reynolds number and to evaluate the lift. Both neutrally and non-neutrally buoyant particles are considered. The wall-induced inertia is significant in the thin layers near the walls where the lift is close to that calculated for linear shear flow, bounded by a single wall. In the major portion of the flow, excluding near-wall layers, the wall effect can be neglected, and the outer how past a sphere can be treated as unbounded parabolic shear flow. The effect of the curvature of the unperturbed velocity profile is significant, and the lift differs from the values corresponding to a linear shear flow even at large Reynolds numbers.