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

San Yih Lin, Jeng Feng Lin

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)40-53
Number of pages14
JournalInternational Journal of Multiphase Flow
Volume53
DOIs
Publication statusPublished - 2013 Jul

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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