Abstract

Through energy conservation and transformation perspectives, we numerically investigated the physical mechanism of cavitation generation surrounding the two-dimensional NACA 0015 hydrofoil using the mass-transfer cavitation model and modified-RNG k-epsilon model. Cavitation generation is triggered by strong turbulent kinetic energy (TKE) with pressure below the saturation pressure. However, cavitation development absorbs TKE as phase-change energy and decreases kinetic energy in near-wall flow fields, thereby increasing pressure according to the energy conservation law. The increased pressure closes the cavity and generates an attached vortex or re-entrant jet, which causes cavitation collapse, conversely decreasing the pressure to the saturation pressure in the leading edge. Simultaneously, the cavitation collapse releases phase-change energy that increases TKE to a maximum so that a new period begins. Cavitation evolution is an interaction between the vapor and liquid flow fields associated with energy conservation and transformation among TKE, pressure, and phase-change energy. Beyond 50% of the chord length, the TKE and pressure-energy in the near-wall flow fields decrease, resulting in the cavitation instability. Within the cavity, the relationship between the local TKE intensity and the volume fraction of water vapor is quantitatively defined as a linear function. Two designs are proposed for the verification of the mechanism and cavitation inhibition, namely, grooves on the hydrofoil surface and bilateral wings in the tail. Grooves do not affect TKE intensity significantly and hence cannot change the cavitating flows. Bilateral tail-wings transfer TKEs from the leading edge to the wake flows and inhibit the cavitation remarkably. The TKE distribution is the dominant mechanism for cavitation generation and stability.

Highlights

  • The cavitation phenomenon is an intensively investigated topic in fluid machinery

  • We investigate the physical mechanism of cavitation evolution from a perspective of energy conservation and transformation of the near-wall flow fields of cavitating flows

  • We investigated the physical cavitation generation mechanism based on the numerical simulation solutions of two-dimensional unstable cavitating flows around the NACA 0015 hydrofoil at α = 0○ and σ = 0.35

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Summary

Introduction

The cavitation phenomenon is an intensively investigated topic in fluid machinery. When cavitation occurs and collapses close to the solid wall, it is usually associated with the performance degradation of hydraulic equipment, as well as specific effects, such as cavitation erosion, vibrations, and acoustic emissions, all of which are undesirable in terms of equipment design. Furness and Hutton[5] conducted the first experiments to study cavitation inception surrounding smooth surfaces, yielding more reliable results by investigating the cavitation desinence number rather than the cavitation inception number They proposed the re-entrant jet as the main mechanism of sheet cavitation instability. Using low- and high-speed photography to investigate the cloud cavitation occurrence about a sphere, Brandner et al.[18] proved that the boundary layer at cavity separation is shown to be laminar for all cavitation numbers, with Kelvin–Helmholtz instability and transition to turbulence in the separated shear layer as the main mechanism for cavity breakup and cloud formation at high cavitation numbers. Cheng et al.[24] numerically investigated two frequency modes corresponding to the flow

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