Discussion on “Analysis of Bingham fluid radial flow in smooth fractures” [J Rock Mech Geotech Eng 12 (2020) 1112–1118]

Recently, Zou et al. (2020a) published a theoretical analysis on the radial flow of a Bingham fluid, where they argued that the classical analysis by Dai and Bird (1981) violates the mass conservation. The present discussion aims to clarify this conflict between those two studies. It is noted that Z...

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Main Authors: Van Thanh Hoang, Wankun Liu, Jang Min Park
Format: Article
Language:English
Published: Elsevier 2021-08-01
Series:Journal of Rock Mechanics and Geotechnical Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1674775521000408
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author Van Thanh Hoang
Wankun Liu
Jang Min Park
author_facet Van Thanh Hoang
Wankun Liu
Jang Min Park
author_sort Van Thanh Hoang
collection DOAJ
description Recently, Zou et al. (2020a) published a theoretical analysis on the radial flow of a Bingham fluid, where they argued that the classical analysis by Dai and Bird (1981) violates the mass conservation. The present discussion aims to clarify this conflict between those two studies. It is noted that Zou et al. (2020a) presumed the gap-wise mass flux is negligible in the mass conservation equation, while Dai and Bird (1981) did not require so in their model, and this is found to be the origin of the conflict. In fact, Dai and Bird (1981)’s model is shown to not violate the mass conservation. Therefore, those two models should be viewed as separate models derived from different perspectives. Details of the major difference between the two models are discussed.
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spelling doaj.art-bd982ab25b534047a19a5abc0bff9f2d2022-12-21T18:24:00ZengElsevierJournal of Rock Mechanics and Geotechnical Engineering1674-77552021-08-01134937944Discussion on “Analysis of Bingham fluid radial flow in smooth fractures” [J Rock Mech Geotech Eng 12 (2020) 1112–1118]Van Thanh Hoang0Wankun Liu1Jang Min Park2School of Mechanical Engineering, Yeungnam University, Daehak-ro 280, Gyeongsan, 38541, Republic of Korea; Department of Mechanical Engineering, The University of Danang - University of Science and Technology, Nguyen Luong Bang Street 54, Danang, Viet NamSchool of Mechanical Engineering, Yeungnam University, Daehak-ro 280, Gyeongsan, 38541, Republic of KoreaSchool of Mechanical Engineering, Yeungnam University, Daehak-ro 280, Gyeongsan, 38541, Republic of Korea; Corresponding author.Recently, Zou et al. (2020a) published a theoretical analysis on the radial flow of a Bingham fluid, where they argued that the classical analysis by Dai and Bird (1981) violates the mass conservation. The present discussion aims to clarify this conflict between those two studies. It is noted that Zou et al. (2020a) presumed the gap-wise mass flux is negligible in the mass conservation equation, while Dai and Bird (1981) did not require so in their model, and this is found to be the origin of the conflict. In fact, Dai and Bird (1981)’s model is shown to not violate the mass conservation. Therefore, those two models should be viewed as separate models derived from different perspectives. Details of the major difference between the two models are discussed.http://www.sciencedirect.com/science/article/pii/S1674775521000408Rock groutingRadial flowBingham fluidAnalytical solution
spellingShingle Van Thanh Hoang
Wankun Liu
Jang Min Park
Discussion on “Analysis of Bingham fluid radial flow in smooth fractures” [J Rock Mech Geotech Eng 12 (2020) 1112–1118]
Journal of Rock Mechanics and Geotechnical Engineering
Rock grouting
Radial flow
Bingham fluid
Analytical solution
title Discussion on “Analysis of Bingham fluid radial flow in smooth fractures” [J Rock Mech Geotech Eng 12 (2020) 1112–1118]
title_full Discussion on “Analysis of Bingham fluid radial flow in smooth fractures” [J Rock Mech Geotech Eng 12 (2020) 1112–1118]
title_fullStr Discussion on “Analysis of Bingham fluid radial flow in smooth fractures” [J Rock Mech Geotech Eng 12 (2020) 1112–1118]
title_full_unstemmed Discussion on “Analysis of Bingham fluid radial flow in smooth fractures” [J Rock Mech Geotech Eng 12 (2020) 1112–1118]
title_short Discussion on “Analysis of Bingham fluid radial flow in smooth fractures” [J Rock Mech Geotech Eng 12 (2020) 1112–1118]
title_sort discussion on analysis of bingham fluid radial flow in smooth fractures j rock mech geotech eng 12 2020 1112 1118
topic Rock grouting
Radial flow
Bingham fluid
Analytical solution
url http://www.sciencedirect.com/science/article/pii/S1674775521000408
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