Analytical predictions of concrete pumping: Extending the Khatib–Khayat model to Herschel–Bulkley and modified Bingham fluids

Balnur Zhaidarbek; Aruzhan Tleubek; Galymbek Berdibek; Yanwei Wang

doi:10.1016/j.cemconres.2022.107035

Analytical predictions of concrete pumping: Extending the Khatib–Khayat model to Herschel–Bulkley and modified Bingham fluids

Balnur Zhaidarbek
, Aruzhan Tleubek
, Galymbek Berdibek
, Yanwei Wang

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

It has been widely reported that self-compacting concrete and other cement-based materials are shear-thickening materials. However, there is a lack of an analytical model on the prediction of flow rate–pressure drop relation in the pumping of concrete that takes into account both the presence of the lubrication layer and the shear-thickening behavior of fresh concrete. This work fills this gap by extending analytical predictions of concrete pumping in the presence of a lubrication layer to nonlinear rheological models including the Herschel–Bulkley model and the modified Bingham model. In doing so, a new method is developed to obtain the flow rate–pressure drop relation for the steady Hagen–Poiseuille coaxial flow of two immiscible, incompressible fluids. Analytical expressions are presented for the flow rate–pressure drop relation, shear rate distribution, and velocity distribution based on the two-fluid Herschel–Bulkley model and separately based on the two-fluid modified Bingham model. With those analytical expressions, volumetric flow rate vs. pressure loss curves can be readily constructed, given values for the other eight quantities: three for the rheological properties of the bulk concrete, three for the rheological properties of the fluid in the lubrication layer, pipe radius, and thickness of the lubrication layer.

Original language	English
Article number	107035
Number of pages	17
Journal	Cement and Concrete Research
Volume	163
DOIs	https://doi.org/10.1016/j.cemconres.2022.107035
Publication status	Published - Jan 2023

Funding

This work was funded by Nazarbayev University under Faculty-development competitive research grants program for 2020-2022 Grant №240919FD3925 fdcrgp2019, Y.W. and under the Social Policy Grant. This work was also funded by the National Key Research and Development Program of China ( 2017YFB0310100 ) and the State Key Laboratory of High-Performance Civil Engineering Materials ( 2014CEM001 ). Y.W. acknowledges Qianqian Zhang (Sobute), Yong Yang (Sobute), Dr. Xin Shu (Sobute), Prof. Dr. Qianping Ran (Southeast University, China), and Prof. Dr. Kamal H. Khayat (Missouri S&T) for useful inputs and valuable comments on an earlier version of the work. This work was funded by Nazarbayev University under Faculty-development competitive research grants program for 2020-2022 Grant №240919FD3925 fdcrgp2019, Y.W. and under the Social Policy Grant. This work was also funded by the National Key Research and Development Program of China (2017YFB0310100) and the State Key Laboratory of High-Performance Civil Engineering Materials (2014CEM001). Y.W. acknowledges Qianqian Zhang (Sobute), Yong Yang (Sobute), Dr. Xin Shu (Sobute), Prof. Dr. Qianping Ran (Southeast University, China), and Prof. Dr. Kamal H. Khayat (Missouri S&T) for useful inputs and valuable comments on an earlier version of the work.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being
SDG 4 Quality Education
SDG 6 Clean Water and Sanitation
SDG 7 Affordable and Clean Energy
SDG 9 Industry, Innovation, and Infrastructure
SDG 12 Responsible Consumption and Production
SDG 13 Climate Action

Keywords

Concrete
Lubrication layer
Pumping
Rheology
Shear-thickening

ASJC Scopus subject areas

Building and Construction
General Materials Science

Access to Document

10.1016/j.cemconres.2022.107035

Cite this

@article{493c631a15774176b381e8d11f3ac7d4,

title = "Analytical predictions of concrete pumping: Extending the Khatib–Khayat model to Herschel–Bulkley and modified Bingham fluids",

abstract = "It has been widely reported that self-compacting concrete and other cement-based materials are shear-thickening materials. However, there is a lack of an analytical model on the prediction of flow rate–pressure drop relation in the pumping of concrete that takes into account both the presence of the lubrication layer and the shear-thickening behavior of fresh concrete. This work fills this gap by extending analytical predictions of concrete pumping in the presence of a lubrication layer to nonlinear rheological models including the Herschel–Bulkley model and the modified Bingham model. In doing so, a new method is developed to obtain the flow rate–pressure drop relation for the steady Hagen–Poiseuille coaxial flow of two immiscible, incompressible fluids. Analytical expressions are presented for the flow rate–pressure drop relation, shear rate distribution, and velocity distribution based on the two-fluid Herschel–Bulkley model and separately based on the two-fluid modified Bingham model. With those analytical expressions, volumetric flow rate vs. pressure loss curves can be readily constructed, given values for the other eight quantities: three for the rheological properties of the bulk concrete, three for the rheological properties of the fluid in the lubrication layer, pipe radius, and thickness of the lubrication layer.",

keywords = "Concrete, Lubrication layer, Pumping, Rheology, Shear-thickening",

author = "Balnur Zhaidarbek and Aruzhan Tleubek and Galymbek Berdibek and Yanwei Wang",

note = "Funding Information: This work was funded by Nazarbayev University under Faculty-development competitive research grants program for 2020-2022 Grant №240919FD3925 fdcrgp2019, Y.W. and under the Social Policy Grant. This work was also funded by the National Key Research and Development Program of China ( 2017YFB0310100 ) and the State Key Laboratory of High-Performance Civil Engineering Materials ( 2014CEM001 ). Y.W. acknowledges Qianqian Zhang (Sobute), Yong Yang (Sobute), Dr. Xin Shu (Sobute), Prof. Dr. Qianping Ran (Southeast University, China), and Prof. Dr. Kamal H. Khayat (Missouri S\&T) for useful inputs and valuable comments on an earlier version of the work. Funding Information: This work was funded by Nazarbayev University under Faculty-development competitive research grants program for 2020-2022 Grant №240919FD3925 fdcrgp2019, Y.W. and under the Social Policy Grant. This work was also funded by the National Key Research and Development Program of China (2017YFB0310100) and the State Key Laboratory of High-Performance Civil Engineering Materials (2014CEM001). Y.W. acknowledges Qianqian Zhang (Sobute), Yong Yang (Sobute), Dr. Xin Shu (Sobute), Prof. Dr. Qianping Ran (Southeast University, China), and Prof. Dr. Kamal H. Khayat (Missouri S\&T) for useful inputs and valuable comments on an earlier version of the work. Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2023",

month = jan,

doi = "10.1016/j.cemconres.2022.107035",

language = "English",

volume = "163",

journal = "Cement and Concrete Research",

issn = "0008-8846",

publisher = "Elsevier",

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T1 - Analytical predictions of concrete pumping: Extending the Khatib–Khayat model to Herschel–Bulkley and modified Bingham fluids

AU - Zhaidarbek, Balnur

AU - Tleubek, Aruzhan

AU - Berdibek, Galymbek

AU - Wang, Yanwei

N1 - Funding Information: This work was funded by Nazarbayev University under Faculty-development competitive research grants program for 2020-2022 Grant №240919FD3925 fdcrgp2019, Y.W. and under the Social Policy Grant. This work was also funded by the National Key Research and Development Program of China ( 2017YFB0310100 ) and the State Key Laboratory of High-Performance Civil Engineering Materials ( 2014CEM001 ). Y.W. acknowledges Qianqian Zhang (Sobute), Yong Yang (Sobute), Dr. Xin Shu (Sobute), Prof. Dr. Qianping Ran (Southeast University, China), and Prof. Dr. Kamal H. Khayat (Missouri S&T) for useful inputs and valuable comments on an earlier version of the work. Funding Information: This work was funded by Nazarbayev University under Faculty-development competitive research grants program for 2020-2022 Grant №240919FD3925 fdcrgp2019, Y.W. and under the Social Policy Grant. This work was also funded by the National Key Research and Development Program of China (2017YFB0310100) and the State Key Laboratory of High-Performance Civil Engineering Materials (2014CEM001). Y.W. acknowledges Qianqian Zhang (Sobute), Yong Yang (Sobute), Dr. Xin Shu (Sobute), Prof. Dr. Qianping Ran (Southeast University, China), and Prof. Dr. Kamal H. Khayat (Missouri S&T) for useful inputs and valuable comments on an earlier version of the work. Publisher Copyright: © 2022 Elsevier Ltd

PY - 2023/1

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N2 - It has been widely reported that self-compacting concrete and other cement-based materials are shear-thickening materials. However, there is a lack of an analytical model on the prediction of flow rate–pressure drop relation in the pumping of concrete that takes into account both the presence of the lubrication layer and the shear-thickening behavior of fresh concrete. This work fills this gap by extending analytical predictions of concrete pumping in the presence of a lubrication layer to nonlinear rheological models including the Herschel–Bulkley model and the modified Bingham model. In doing so, a new method is developed to obtain the flow rate–pressure drop relation for the steady Hagen–Poiseuille coaxial flow of two immiscible, incompressible fluids. Analytical expressions are presented for the flow rate–pressure drop relation, shear rate distribution, and velocity distribution based on the two-fluid Herschel–Bulkley model and separately based on the two-fluid modified Bingham model. With those analytical expressions, volumetric flow rate vs. pressure loss curves can be readily constructed, given values for the other eight quantities: three for the rheological properties of the bulk concrete, three for the rheological properties of the fluid in the lubrication layer, pipe radius, and thickness of the lubrication layer.

AB - It has been widely reported that self-compacting concrete and other cement-based materials are shear-thickening materials. However, there is a lack of an analytical model on the prediction of flow rate–pressure drop relation in the pumping of concrete that takes into account both the presence of the lubrication layer and the shear-thickening behavior of fresh concrete. This work fills this gap by extending analytical predictions of concrete pumping in the presence of a lubrication layer to nonlinear rheological models including the Herschel–Bulkley model and the modified Bingham model. In doing so, a new method is developed to obtain the flow rate–pressure drop relation for the steady Hagen–Poiseuille coaxial flow of two immiscible, incompressible fluids. Analytical expressions are presented for the flow rate–pressure drop relation, shear rate distribution, and velocity distribution based on the two-fluid Herschel–Bulkley model and separately based on the two-fluid modified Bingham model. With those analytical expressions, volumetric flow rate vs. pressure loss curves can be readily constructed, given values for the other eight quantities: three for the rheological properties of the bulk concrete, three for the rheological properties of the fluid in the lubrication layer, pipe radius, and thickness of the lubrication layer.

KW - Concrete

KW - Lubrication layer

KW - Pumping

KW - Rheology

KW - Shear-thickening

U2 - 10.1016/j.cemconres.2022.107035

DO - 10.1016/j.cemconres.2022.107035

M3 - Article

AN - SCOPUS:85142496183

SN - 0008-8846

VL - 163

JO - Cement and Concrete Research

JF - Cement and Concrete Research

M1 - 107035

ER -

Analytical predictions of concrete pumping: Extending the Khatib–Khayat model to Herschel–Bulkley and modified Bingham fluids

Abstract

Funding

UN SDGs

Keywords

ASJC Scopus subject areas

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