期刊
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW
卷 53, 期 -, 页码 40-53出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmultiphaseflow.2013.01.006
关键词
Pressure correction method; Immersed-boundary; Lubrication; Hydrodynamic force; Reynolds number
类别
资金
- National Science Council of the Republic of China [NSC 100-2221-E-006-106]
- National Taiwan University [97R0066-07, 98R0066-07]
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.
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