Laminar, transitional and turbulent flow of Herschel-Bulkley fluids in concentric annulus

K. Founargiotakis, V. C. Kelessidis, R. Maglione

Research output: Contribution to journalArticle

51 Citations (Scopus)


An integrated approach is presented for the flow of Herschel-Bulkley fluids in a concentric annulus, modelled as a slot, covering the full range of flow types, laminar, transitional, and turbulent flows. Prior analytical solutions for laminar flow are utilized. Turbulent flow solutions are developed using the Metzner-Reed Reynolds number after determining the local power law parameters as functions of flow geometry and the Herschel-Bulkley rheological parameters. The friction factor is estimated by modifying the pipe flow equation. Transitional flow is solved introducing transitional Reynolds numbers which are functions of the local power law index. Thus, an integrated, complete and consistent set, combining analytical, semi-analytical and empirical equations, is provided which describe fully the flow of Herschel-Bulkley fluids in concentric annuli, modelled as a slot. The comparison with experimental and simulator data from various sources shows very good agreement over the entire range of flow types.

Original languageEnglish
Pages (from-to)676-683
Number of pages8
JournalCanadian Journal of Chemical Engineering
Issue number4
Publication statusPublished - 1 Aug 2008



  • Flow in annulus
  • Herschel-Bulkley fluid
  • Laminar
  • Transitional
  • Turbulent flow

ASJC Scopus subject areas

  • Chemical Engineering(all)

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