Numerical analysis of unsteady cavitating flow in an axial inducer

Abstract

This article presents a numerical simulation of an unsteady cavitating flow. First, the analysis was carried out for a two-dimensional (2D) venturi-type geometry, and then for a 2D blade cascade simulating an axial inducer.

The main purpose of this work is to explore the local cavitation instabilities, such as alternate blade cavitation and rotating blade cavitation, which can appear in axial inducers.

The numerical simulation was performed using a commercial code based on a cell-centred finite-volume method. The cavitation model used for calculations assumes a thermal equilibrium between phases. It is based on the classical conservation equations of the vapour phase and the mixture phase, with mass transfer owing to the cavitation appearing as a source and a sink term in the vapour mass fraction equation. The mass transfer rate is derived from a simplified Rayleigh—Plesset model for bubble dynamics.

Keywords

cavitation instabilities inducer computational fluid dynamics

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References

Tsujimoto

, ‘Simple rules for cavitation instabilities in turbomachinery’ In Proceedings of the Fourth International Symposium on Cavitation, Pasadena, California, 20–23 June 2001.

Bakir

Kouïdri

Noguera

Rey

, ‘Design and analysis of axial inducers performances’ In Proceedings of the ASME Fluids Engineering Division Summer Meeting, Washington, DC, 21–25 June 1998.

Bakir

Kouïdri

Noguera

Rey

, ‘Experimental analysis of an axial inducer influence of the shape of the blade leading edge on the performances in cavitating regime’ J. Fluids Eng. 125 (2003): 293–301.

Mejri

Bakir

Rey

Belamri

, ‘Comparison of computational results obtained from a homogeneous cavitation model with experimental investigations of three inducers’ J. Fluids Eng. 128 6 (2006): 1308–1323.

Mejri

Bakir

Kouïdri

Rey

, ‘Hub shape effects under cavitation on the inducers performance’ Proc. IMechE Part A: J. Power and Energy 220 A5 (2006): 217–237. DOI: 10.1243/09576509JPE137.

Bakir

Rey

Gerber

Belamri

Hutchinson

, ‘Numerical and experimental investigations of the cavitating behaviour of an inducer’ Int. J. Rotat. Mach. 10 1 (2004): 15–25.

Tsujimoto

Kamijo

Yoshida

, ‘A theoretical analysis of rotating cavitation in inducers’ J. Fluids Eng. 115 (1993): 135–141.

Tsujimoto

Yoshida

Maekawa

Watanabe

Hashimoto

, ‘Observation of oscillating cavitation of an inducer’ J. Fluids Eng. 119 (1997): 775–781.

Tsujimoto

Kamijo

Brennen

, ‘Unified treatment of flow instabilities of turbomachines’ AIAA J. Propuls. Power 17 3 (2001): 636–643.

10.

Yoshida

Tsujimoto

Karaoka

Horiguchi

Wahl

, ‘Effects of alternate leading edge cutback on unsteady cavitation in 4–bladed inducers’ J. Fluids Eng. 123 (2001): 762–770.

11.

Horiguchi

Watanabe

Tsujimoto

Aoki

, ‘Theoretical analysis of alternate blade cavitation in inducers’ J. Fluids Eng. 122 1 (2000): 156–163.

12.

Friedrichs

Kosyna

, ‘Rotating cavitation in a centrifugal pump impeller of low specific speed’ J. Fluids Eng. 124 (2002): 356–362.

13.

Joussellin

Courtot

Coutier—Delgosha

Reboud

, ‘Cavitating inducer instabilities: Experimental analysis and 2D numerical simulation of unsteady flow in blade cascade’ In Proceedings of the Fourth International Symposium on Cavitation, Pasadena, California, 20–23 June 2001.

14.

Iga

Nohmi

Goto

Shin

Ikohagi

, ‘Numerical analysis of unstable phenomena of cavitation in cascade with finite blade numbers’ In Proceedings of the Ninth International Symposium on Transport phenomena and dynamics of rotating machinery, Honolulu, Hawaii, 10–14 February 2002.

15.

Singhal

Athavale

Jiang

, ‘Mathematical basis and validation of the full cavitation model’ J. Fluids Eng. 124 (2002): 617–624.

16.

Yakhot

Orszag

, ‘Renormalization group analysis of turbulence i basic theory’ J. Sci. Comput. 1 1 (1986): 3–51.

17.

Reboud

Stutz

Coutier—Delgosha

, ‘Two-phase flow structure of cavitation: Experiment and modelling of unsteady effects’ In Proceedings of the Third International Symposium on Cavitation, Grenoble, France, 7–10 April 1998.

18.

Stutz

Reboud

, ‘Experiments on unsteady cavitation’ Exp. Fluids 22 (1997): 191–198.

19.

Wilcox

, Turbulence modelling for CFD (La Canada, California: 1998).

20.

Fortes—Patella

Coutier-Delgosha

Perrin

Reboud

J.-L.

. Numerical model to predict unsteady cavitating flow behaviour in inducer blade cascades’ J. Fluids Eng. 129 (2007): 128–135.

21.

Pouffary

Patella

R. F.

Reboud

J.-L.

Lambert

P.-A.

. Numerical analysis of cavitation instabilities in inducer blade cascade’ J. Fluids Eng. 130 (2008): 1–8.