0
TECHNICAL PAPERS

A Method to Predict Cavitation Inception Using Large-Eddy Simulation and its Application to the Flow Past a Square Cylinder

[+] Author and Article Information
W. Wienken

Institute of Fluid Mechanics,Technische Universität Dresdenwienken@ism.mw.tu-dresden.de

J. Stiller

Institute for Aerospace Engineering, Technische Universität Dresden, D-01062 Dresden, Germany

A. Keller

 Technische Universität München, Versuchsanstalt für Wasserbau und Wasserwirtschaft, D-82432 Obernach/Walchensee, Germany

J. Fluids Eng 128(2), 316-325 (Mar 01, 2006) (10 pages) doi:10.1115/1.2170132 History:

A new method to predict traveling bubble cavitation inception is devised. The crux of the method consists in combining the enhanced predictive capabilities of large-eddy-simulation (LES) for flow computation with a simple but carefully designed stability criterion for the cavitation nuclei. For LES a second-order accurate finite element model based on the Galerkin/least-squares method with Runge-Kutta time integration is applied. The incoming nucleus’ spectrum is approximated by a Weibull distribution. Moreover, it is shown that under typical conditions the stability of the nuclei can be evaluated with an algebraic criterion emerging from the Rayleigh-Plesset equation. This criterion can be expressed as modified critical Thoma number and fits well into the LES approach. The method was applied to study cavitation inception in a flow past a square cylinder. A good agreement with experimental results was achieved. Furthermore, the principal advantage over statistical (time-averaged) methods could be clearly demonstrated, even though the spatial resolution and application of the LES were restricted by limited computational resources. As the latter keep on growing, a wider range of applications will become accessible methods for cavitation prediction based on algebraic stability criteria combined with LES.

FIGURES IN THIS ARTICLE
<>
Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Turbulent channel flow at Re=180

Grahic Jump Location
Figure 2

Cavitation inception

Grahic Jump Location
Figure 3

Nucleus distribution and its approximation by the Weibull and Normal distribution

Grahic Jump Location
Figure 4

Computational domain for the LES

Grahic Jump Location
Figure 5

Section of the grid used for the unsteady RANS computation (Each fifth gridline is shown)

Grahic Jump Location
Figure 6

Velocity and pressure distribution, k-ε model

Grahic Jump Location
Figure 7

Velocity and pressure distribution, RSM model

Grahic Jump Location
Figure 8

Velocity and pressure distribution, LES

Grahic Jump Location
Figure 9

(a) Pressure probes on the cylinder surface (b) Mean pressure distribution on cylinder surface (▴; Experiment; –: LES; – –: RSM; – ∙ –: κ–ε)

Grahic Jump Location
Figure 10

Velocity profiles (∎; Experiment; –: LES; ▴ RSM; ●: κ–ε)

Grahic Jump Location
Figure 11

Isobar surface; LES

Grahic Jump Location
Figure 12

Isobar surface; RSM

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In