Pipe Flow of Viscoplastic Fluids and Analytical Predictions of Concrete Pumping Based on the Shear-Stress-Dependent Parabolic Model

This study investigates the Hagen–Poiseuille pipe flow of viscoplastic fluids, focusing on analytical predictions concrete pumping using shear-stress-dependent parabolic model, extending studies to a nonlinear rheological model with easily accessible experimental parameters. Research novelty and highlights encompass solving steady laminar for fluids described by presenting detailed results two-fluid introducing computational app implementing theoretical findings. The outperforms linear models, such as Bingham in accuracy accounting nonlinearity curves (i.e., shear stress rate relations) pumped concrete. influence parameters these relations is analyzed, their versatility demonstrated Wolfram Mathematica-based application program. approach developed this work adaptable other models independent variable, offering valuable insights into fluid flows.