Dual-Fluid Herschel-Bulkley Model for Pumping Flowable Concrete

Balnur Zhaidarbek, Yanwei Wang

Research output: Other contribution


Pumping concrete is an important aspect of construction practice. This Demonstration simulates a nonlinear rheological model, known as the Herschel–Bulkley model, to obtain analytical predictions of volume flow rate versus pressure loss per unit length. The results are based on the two-fluid Herschel–Bulkley model. We predict the relation between volume flow rate and pressure loss per unit length, given the eight model parameters: 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. In addition to the total volume flow rate, the three contributions to the overall volume flow rate are shown: from the LL region, from the shearing-flow region of the bulk concrete, and from the plug-flow region of the bulk concrete. The sum of the three contributions is to be compared with observed results for the volumetric flow rate.
Original languageEnglish
TypeWolfram Demonstrations Project
Media of outputComputational App
PublisherWolfram Demonstrations Project
Publication statusPublished - Mar 2023


  • Concrete pumping
  • Dual-fluid model
  • Herschel-Bulkley Model
  • Non-newtonian flows
  • Lubrication layer
  • Pipe flow


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