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Mathematical modelling and numerical simulation of particle laden flow in a channel with smooth and rough bed

  • Identification: IAA2060201 - Grant Agency of the Academy of Sciences of the Czech Republic
  • Duration: 2002 - 2005
  • Principal investigator: Ing. Pavel Vlasák DrSc.

Subject of research

The aim of the project is development of a new mathematical model and numerical simulation of particle-laden flow determining statistical properties of solid particle motion in an open channel under different hydraulic conditions. Typical saltation model involves usually 2D Lagrangian equations of spherical particle represented by ist centre of gravity only, it does not allow description of lateral dispersion of particle, to determine correctly Magnus force and to take into account effect of the particle shape on saltation.To define saltation of the particle more precisely, the motion will be considered as 2D and 3D, both spherical and non-spherical particle shape and its rotation will be considered, too. The resulting translational and angular velocites after collision with the bed will be calculated by theory of non-elastic collision of the rotating particle. Laboratory measurements of particle motion in laboratory flume will be used for verification and correction of the model.

Research Goal

2D and 3D mathematical and numerical model of spherical or no spherical particle saltation in open channel with rough or smooth bed based on theory of no elastic impact solves trajectory, lateral dispersion and particle concentration in vertical profile.