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

Fingerprint

Shear thinning
Equations of motion
Fluids
Flow fields
Geometry

Cite this

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.
Letelier, Mario F. ; Siginer, D.A. ; Godoy, F. ; Rosas, C. / 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.
@conference{3c5d0aed84af41cb9e7f5c05cf978edb,
title = "Herschel-bulkley viscoplastic flow in tubes of non-circular cross-section",
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 {\circledC} 2016 by ASME.",
author = "Letelier, {Mario F.} and D.A. Siginer and F. Godoy and C. Rosas",
note = "Cited By :1 Export Date: 20 June 2018 CODEN: FEDSD; ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016 ; Conference date: 11-11-2016 Through 17-11-2016",
year = "2016",
language = "English",

}

Letelier, MF, Siginer, DA, 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, 11/11/16 - 11/17/16, .

Herschel-bulkley viscoplastic flow in tubes of non-circular cross-section. / Letelier, Mario F.; Siginer, D.A.; Godoy, F.; Rosas, C.

2016. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Herschel-bulkley viscoplastic flow in tubes of non-circular cross-section

AU - Letelier, Mario F.

AU - Siginer, D.A.

AU - Godoy, F.

AU - Rosas, C.

N1 - Cited By :1 Export Date: 20 June 2018 CODEN: FEDSD

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

M3 - Paper

ER -

Letelier MF, Siginer DA, Godoy F, Rosas C. Herschel-bulkley viscoplastic flow in tubes of non-circular cross-section. 2016. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States.