Calculation of terminal velocity in transitional flow for spherical particle

Lei Zhang, Ricky Honaker, Wenli Liu, Dongpo Men, Jinxiang Chen

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Abstract The terminal velocity has been widely used in extensive fields, but the complexity of drag coefficient expression leads to the calculation of terminal velocity in transitional flow (1<Re≤1000) with much more difficulty than those in laminar flow (Re≤1) and turbulent flow (Re≥1000). This paper summarized and compared 24 drag coefficient correlations, and developed an expression for calculating the terminal velocity in transitional flow, and also analyzed the effects of particle density and size, fluid density and viscosity on terminal velocity. The results show that 19 of 24 previously published correlations for drag coefficient have good prediction performance and can be used for calculating the terminal velocity in the entire transitional flow with higher accuracy. Adapting two dimensionless parameters (w∗, d∗), a proposed explicit correlation, w∗=-25.68654×exp(Formula presented.)+24.89826, is attained in transitional flow with good performance, which is helpful in calculating the terminal velocity.

Original languageEnglish
Article number485
Pages (from-to)311-317
Number of pages7
JournalInternational Journal of Mining Science and Technology
Issue number2
StatePublished - Mar 1 2015

Bibliographical note

Publisher Copyright:
© 2015 Published by Elsevier B.V. on behalf of China University of Mining & Technology.


  • Calculation
  • Drag coefficient
  • Spherical particle
  • Terminal velocity
  • Transitional flow

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Geochemistry and Petrology
  • Geotechnical Engineering and Engineering Geology


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