Laminar planar hydraulic jump during free surface flow of Bingham plastic liquid

Abstract

The hydrodynamics of laminar planar hydraulic jump during free surface flow of Bingham plastic liquid is investigated through numerical simulation and shallow flow analysis, both validated against experimental results. The singularity of Bingham plastic model at the yield surface is addressed by adopting the Bingham plastic Papanastasiou regularized model with the value of regularization parameter as 1000 s in order to mimic ideal BP flow. The study reveals that an increase in both yield stress and plastic viscosity creates a jump closer to the inlet with a higher film thickness and jump strength. Interestingly, a higher Froude number shifts jump towards channel exit with increased strength while a higher Reynolds number forms a jump of lower strength closer to exit. The jump types noted from simulations are presented as phase diagrams in terms of inlet Reynolds and inlet Froude number for different yield stress values.