Numerical investigation of lubrication force on a spherical particle moving to a plane wall at finite Reynolds numbers

被引：9
|
作者：
Lin, San-Yih [1 ]
Lin, Jeng-Feng [1 ]
机构：
[1] Natl Cheng Kung Univ, Dept Aeronaut & Astronaut, Tainan 70101, Taiwan
来源：
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW | 2013年 / 53卷
关键词：
Pressure correction method; Immersed-boundary; Lubrication; Hydrodynamic force; Reynolds number; VISCOUS-FLUID; SLOW MOTION; COUPLING METHOD; FLOW; SIMULATION; VERIFICATION; COLLISIONS; IMPACT;
D O I：
10.1016/j.ijmultiphaseflow.2013.01.006
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A direct-forcing immersed-boundary (IB) pressure correction method is used to investigate numerically the total hydrodynamic force for a solid sphere in normal approach to a plane wall. For constant approaches, Cox and Brenner's classic asymptotic formula in the lubrication regime was extended to cover particle Reynolds number Re <= 50. An explicit force formula was proposed by fitting the current simulation results. We also consider gravity-induced decent of an immersed sphere towards a wall and an equation of motion was proposed containing quasi-steady viscous drag and two unsteady components-added mass force and history force. Possible effects from liquid inertia at finite-Re and wall at small gaps are described by least-square fitting of the simulation results. The proposed formula agrees to existing low-Re theories. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：40 / 53
页数：14
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