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

Journal article

Authors/Editors

Siginer, Dennis

Research Areas

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Publication Details

Author list: Letelier MF, Siginer DA, Hinojosa CB

Publisher: Elsevier

Place: OXFORD

Publication year: 2017

Journal: International Journal of Non-Linear Mechanics (0020-7462)

Journal acronym: INT J NONLIN MECH

Volume number: 88

Start page: 1

End page: 10

Number of pages: 10

ISSN: 0020-7462

Languages: English-Great Britain (EN-GB)

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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.

Keywords

Bingham, Hershey-Bulkley, Non-circular tube, Plug and stagnant zones, Viscoplastic

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