## Abstract

Pumping concrete is an important aspect of construction practice. This Demonstration implements a recently developed analytical model, referred to as the Khatib–Khayat model. We obtain analytical predictions of volume flow rate versus pressure loss per unit length based on the two-fluid Bingham model. We predict the relation between flow rate and pressure loss, given the six model parameters: two Bingham fluid parameters for the bulk concrete, two Bingham fluid parameters for the LL fluid, the pipe diameter, and the lubrication layer thickness. In addition to showing the total volume flow rate, we show the three contributions to the overall volume flow rate: from the LL region, from the shearing flow region of the bulk concrete, and the plug-flow region of the bulk concrete. The sum of the three contributions is also shown to compare with observed results for the volumetric flow rate.

The original model, developed by Rami Khatib and Kamal H. Khayat, assumed that the bulk concrete has a sufficiently low yield stress that there is always a shearing flow region in the bulk concrete. This is the case for self-compacting concrete. This Demonstration extends the original Khatib–Khayat model to include pumping conventional vibrated concrete (CVC), in which the entire bulk concrete may experience only plug flow. The key idea behind the Khatib–Khayat model is that the pumping process of concrete is described by the viscoplastic Hagen–Poiseuille flow of two coaxial, immiscible, incompressible Bingham fluids, one for the bulk concrete and the other for the fluid in the lubrication layer (LL) region.

The original model, developed by Rami Khatib and Kamal H. Khayat, assumed that the bulk concrete has a sufficiently low yield stress that there is always a shearing flow region in the bulk concrete. This is the case for self-compacting concrete. This Demonstration extends the original Khatib–Khayat model to include pumping conventional vibrated concrete (CVC), in which the entire bulk concrete may experience only plug flow. The key idea behind the Khatib–Khayat model is that the pumping process of concrete is described by the viscoplastic Hagen–Poiseuille flow of two coaxial, immiscible, incompressible Bingham fluids, one for the bulk concrete and the other for the fluid in the lubrication layer (LL) region.

Original language | English |
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Type | Wolfram Demonstrations Project |

Media of output | Computational App |

Publisher | Wolfram Demonstrations Project |

Publication status | Published - Aug 2022 |

## Keywords

- Concrete pumping
- Dual-fluid model
- Bingham Model
- Non-newtonian flows
- Lubrication layer
- Pipe flow