Pipe Flow of Viscoplastic Fluids and Analytical Predictions of Concrete Pumping Based on the Shear-Stress-Dependent Parabolic Model
Zhaidarbek B. Savitskaya K. Wang Y.
June 2023Multidisciplinary Digital Publishing Institute (MDPI)
Processes
2023#11Issue 6
This study investigates the Hagen–Poiseuille pipe flow of viscoplastic fluids, focusing on analytical predictions of concrete pumping using the shear-stress-dependent parabolic model, extending analytical studies to a nonlinear rheological model with easily accessible experimental parameters. Research novelty and highlights encompass solving the steady laminar pipe flow for viscoplastic fluids described by the parabolic model, presenting detailed results for the two-fluid parabolic model, and introducing a computational app implementing theoretical findings. The parabolic model outperforms linear models, such as the Bingham model, in accuracy by accounting for the nonlinearity in the flow curves (i.e., shear stress and shear rate relations) of pumped concrete. The influence of rheological parameters on these relations is analyzed, and their versatility is demonstrated by a Wolfram Mathematica-based application program. The analytical approach developed in this work is adaptable for other models with shear stress as the independent variable, offering valuable insights into viscoplastic fluid flows.
concrete pumping , lubrication layer , pipe flow , rheology , shear-thickening , viscoplastic fluid , yield stress
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Department of Chemical & Materials Engineering, School of Engineering and Digital Sciences, Nazarbayev University, Astana, 010000, Kazakhstan
Center for Energy and Advanced Materials Science, National Laboratory Astana, Astana, 010000, Kazakhstan
Department of Chemical & Materials Engineering
Center for Energy and Advanced Materials Science
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