Simulation of two-phase Newtonian and non-Newtonian systems using smoothed particle hydrodynamics and herschel-bulkley model

Document Type : Research Article


1 Yasouj University

2 Semnan University

3 semnan university


One of the most important problems, in the field of hydraulic science, is the study of the behavior of sediment particles and the morphology changes in water flows above sediments. In this research, twophase flow of water-sediment is modeled using the fully Lagrangian SPH method in weakly compressible form. One of the features of the SPH method is the ability to model large deformation, the interface between two phases, as well as particle tracing in multiphase models. In this study, the open-source SPHysics2D code is used where pressure is explicitly calculated using the equation of state. In order to investigate the behavior of sediment, the viscoplastic non-Newtonian model of Herschel -Bulkley Papanastasiou (HBP) has been used. Here, the water-sediment interface is modeled using Owen’s equation where a harmonic mean is used for the viscosity. Due to the density difference between phases, a modified method is used for the continuity and momentum equations. Moreover, an experimental data of the granular dam-break was used to validate the viscoplastic model, and also an experimental data of the dam-break over a moveable bed (water-sediment simulation)was utilized to study the performance of the two-phase flow model. The results indicated that the model of the present study has a high potential for simulating water-sediment systems.


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  • Receive Date: 31 December 2017
  • Revise Date: 13 October 2018
  • Accept Date: 14 January 2019
  • First Publish Date: 21 March 2019