Herschel-bulkley viscoplastic flow in tubes of non-circular cross-section

Mario F. Letelier, D.A. Siginer, F. Godoy, C. Rosas

Research output: Contribution to conferencePaper

2 Citations (Scopus)

Abstract

Flow of a Herschel-Bulkley (H-B) fluid in tubes of non-circular cross-section in investigated analytically. This study complements results presented in [1] where the equation of motion was solved in tubes of arbitrary cross-section for Bingham type of fluids, and the shapes of plug zones centered on the tube axis and stagnant zones attached to the corners were predicted when the cross-section is triangular and square. In this paper we investigate the effect of the power index in the H-B model on the flow for values greater and lesser than unity, considering thus the shear-thinning and shear-thickening effects, which could not be accounted for with the Bingham model. The equation of motion is solved when the cross-section is an equilateral triangle or a square by means of the shape factor method previously introduced in [2]. Thus, shear-thickening and shear-thinning effects are accounted for and related to the tube geometry in predicting the existence and the extent of undeformed regions in the flow field. Copyright © 2016 by ASME.
Original languageEnglish
Publication statusPublished - 2016
EventASME 2016 International Mechanical Engineering Congress and Exposition - Phoenix, United States
Duration: Nov 11 2016Nov 17 2016

Conference

ConferenceASME 2016 International Mechanical Engineering Congress and Exposition
Abbreviated titleIMECE 2016
CountryUnited States
CityPhoenix
Period11/11/1611/17/16

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    Letelier, M. F., Siginer, D. A., Godoy, F., & Rosas, C. (2016). Herschel-bulkley viscoplastic flow in tubes of non-circular cross-section. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States. https://www.scopus.com/inward/record.uri?eid=2-s2.0-85021977658&doi=10.1115%2fFEDSM2016-1069&partnerID=40&md5=e0672e3e0790eff084c9cecac570d2ef