Abstract

For an elliptic Arndt's hydrofoil numerical simulations of vortex cavitation are presented. An equilibrium cavitation model is employed. This single-fluid model assumes local thermodynamic and mechanical equilibrium in the mixture region of the flow, is employed. Furthermore, for characterizing the thermodynamic state of the system, precomputed multiphase thermodynamic tables containing data for the appropriate equations of state for each of the phases are used and a fast, accurate, and efficient look-up approach is employed for interpolating the data. The numerical simulations are carried out using the Unsteady Reynolds-Averaged Navier-Stokes (URANS) equations for compressible flow. The URANS equations of motion are discretized using an finite volume method for unstructured grids. The numerical simulations clearly show the formation of the tip vortex cavitation in the flow about the elliptic hydrofoil.

Highlights

  • In most practical situations, cavitation can and typically does occur when the local static pressure of a liquid drops below the saturation pressure

  • The numerical simulations are performed by using the compressible flow Unsteady Reynolds-Averaged Navier-Stokes (URANS) equations which are closed with the thermodynamic state relations based on the employed equilibrium cavitation model

  • 12.5 293 998.7 1540.0 1.0 the numerical simulations must be taken very small. This is because the equilibrium cavitation model takes into account the physics of both the incompressible and compressible flows, which are solved using the compressible flow approach

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Summary

Introduction

Cavitation can and typically does occur when the local static pressure of a liquid drops below the saturation pressure. The equilibrium cavitation model [1], [2], [3] is employed, which in the two-phase flow region assumes local thermodynamic and mechanical equilibrium. Note that in this model the phase transition does not depend on empirical constants, and a cavitation threshold at p = psat is assumed. The computational method assumes Tait’s equation of state for the liquid phase, perfect gas for the vapor phase, and an equilibrium model for the mixture phase (see e.g. Schmidt et al [3] and Koop [4]).

Results
Tip vortex cavitation on elliptic hydrofoil
Conclusions
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