Abstract

Based on cavitation modelling in Laval nozzle results and experience, problem with the diffuser with vortex generator was defined. The problem describes unsteady multiphase flow of water. Different cavitation models were used when modelling in Fluent, flow condition is inlet and pressure condition is outlet. Boundary conditions were specified by Energy Institute, Victor Kaplan's Department of Fluid Engineering, Faculty of Mechanical Engineering, Brno University of Technology. Numerical modelling is compared with experiment.

Highlights

  • Based on cavitation modelling in Laval nozzle results and experience, problem with the diffuser with vortex generator was defined

  • Different cavitation models were used when modelling in Fluent, flow condition is inlet and pressure condition is outlet

  • Boundary conditions were specified by Energy Institute, Victor Kaplan’s Department of Fluid Engineering, Faculty of Mechanical Engineering, Brno University of Technology

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Summary

Mathematical model

Generalized Rayleigh – Plesset equation for bubble dynamics (time-dependent pressure and size of bubbles) in form. For certain value of pressure ‫݌‬ஶሺ‫ݐ‬ሻ can be solved and bubble radius ܴୠሺ‫ݐ‬ሻ can be determined (in case of the pressure value in bubble is known). This equation was used by scientists like Rayleigh and Plesset equation in simplified form (the term of surface tension and the term of viscosity were ignored and higher order derivatives). Common differential equation (1) has been too difficult to be applied into a multiphase flow model. That is why the first order approximation has been used in this case

Singhal cavitation model
Scherr and Sauer cavitation model
Geometry and grid
Experiment
Physical properties
Boundary conditions
Numerical results
Evaluation and conclusion
Full Text
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