On the physics of viscoplastic fluid flow in non-circular tubes

Mario F. Letelier, Dennis A. Siginer, Cristian Barrera Hinojosa

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Flow of Bingham plastics through straight, long tubes is studied by means of a versatile analytical method that allows extending the study to a large range of tube geometries. The equation of motion is solved for general non-circular cross-sections obtained via a continuous and one-to-one mapping called the shape factor method. In particular the velocity field and associated plug and stagnant zones in tubes with equilateral triangular and square cross-section are explored. Shear stress normal to equal velocity lines, energy dissipation distribution and rate of flow are determined. Shear-thinning and shear-thickening effects on the flow, which cannot be accounted for with the Bingham model, are investigated using the Hershey-Bulkley constitutive formulation an extension of the Bingham model. The existence and the extent of undeformed regions in the flow field in a tube with equilateral triangular cross-section are predicted in the presence of shear-thinning and shear-thickening as a specific example. The mathematical flexibility of the analytical method allows the formulation of general results related to viscoplastic fluid flow with implications related to the design and optimization of physical systems for viscoplastic material transport and processing.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalInternational Journal of Non-Linear Mechanics
Volume88
DOIs
Publication statusPublished - Jan 1 2017

Fingerprint

Viscoplastic Fluid
Shear thinning
Fluid Flow
Flow of fluids
Tube
Physics
Equilateral
Shear Thinning
Cross section
Analytical Methods
Equations of motion
Shear stress
Triangular
Energy dissipation
Flow fields
Plastics
Geometry
Formulation
Energy Dissipation
Processing

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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On the physics of viscoplastic fluid flow in non-circular tubes. / Letelier, Mario F.; Siginer, Dennis A.; Hinojosa, Cristian Barrera.

In: International Journal of Non-Linear Mechanics, Vol. 88, 01.01.2017, p. 1-10.

Research output: Contribution to journalArticle

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