Modeling and numerical simulation of yield viscoplastic fluid flow in concentric and eccentric annuli

Zaisha Mao, Chao Yang, Vassilios C. Kelessidis

Research output: Contribution to journalArticle

8 Citations (Scopus)


Numerical solution of yield viscoplastic fluid flow is hindered by the singularity inherent to the Herschel-Bulkley model. A finite difference method over the boundary-fitted orthogonal coordinate system is utilized to investigate numerically the fully developed steady flow of non-Newtonian yield viscoplastic fluid through concentric and eccentric annuli. The fluid rheology is described with the Herschel-Bulkley model. The numerical simulation based on a continuous viscoplastic approach to the Herschel-Bulkley model is found in poor accordance with the experimental data on volumetric flow rate of a bentonite suspension. A strict mathematical model for Herschel-Bulkley fluid flow is established and the corresponding numerical procedures are proposed. However, only the case of flow of a Herschel-Bulkley fluid in a concentric annulus is resolved based on the presumed flow structure by using the common optimization technique. Possible flow structures in an eccentric annulus are presumed, and further challenges in numerical simulation of the Herschel-Bulkley fluid flow are suggested.

Original languageEnglish
Pages (from-to)191-202
Number of pages12
JournalChinese Journal of Chemical Engineering
Issue number1
Publication statusPublished - 1 Feb 2012



  • Herschel-Bulkley model
  • annulus
  • mathematical model
  • non-Newtonian fluid flow
  • yield viscoplastic fluid

ASJC Scopus subject areas

  • Environmental Engineering
  • Biochemistry
  • Chemistry(all)
  • Chemical Engineering(all)

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