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Research Papers: Multiphase Flows

Finite Volume, Computational Fluid Dynamics-Based Investigation of Supercavity Pulsations

[+] Author and Article Information
Grant M. Skidmore

Penn State Applied Research Laboratory,
P.O. Box 30,
State College, PA 16804-0030;
Melbourne School of Engineering,
University of Melbourne,
Parkville, VIC 3052, Australia
e-mails: skidmore.grant@gmail.com;
grant.skidmore@unimelb.edu.au

Jules W. Lindau

Mem. ASME
Penn State Applied Research Laboratory,
P.O. Box 30,
State College, PA 16804-0030
e-mail: jwl10@arl.psu.edu

Timothy A. Brungart

Penn State Applied Research Laboratory,
P.O. Box 30,
State College, PA 16804-0030
e-mail: tab7@arl.psu.edu

Michael J. Moeny

Mem. ASME
Penn State Applied Research Laboratory,
P.O. Box 30,
State College, PA 16804-0030
e-mail: mjm369@arl.psu.edu

Michael P. Kinzel

Mem. ASME
Penn State Applied Research Laboratory,
P.O. Box 30,
State College, PA 16804-0030
e-mail: mpk176@arl.psu.edu

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 11, 2016; final manuscript received March 29, 2017; published online June 20, 2017. Assoc. Editor: Riccardo Mereu.The United States Government retains, and by accepting the article for publication, the publisher acknowledges that the United States Government retains, a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this work, or allow others to do so, for United States Government purposes.

J. Fluids Eng 139(9), 091301 (Jun 20, 2017) (10 pages) Paper No: FE-16-1300; doi: 10.1115/1.4036596 History: Received May 11, 2016; Revised March 29, 2017

Computations of pulsating supercavity flows behind axisymmetric disk cavitators are presented. The method of computation is a finite volume discretization of the equations of mixture fluid motion. The gas phase is treated as compressible, the liquid phase as incompressible, and the interface accuracy enhanced using a volume of fluid (VOF) approach. The re-entrant, pulsating, and twin vortex modes of cavity closure are delineated and computationally resolved, including the expected hysteresis. A phase diagram of cavitation number versus ventilation rate at three Froude conditions is computationally constructed. Sample re-entrant, pulsation, and twin vortex snapshots are presented. Pulsation results are compared with stability criterion from the literature as well as examined for their expected character. Computations appear to capture the complete spectrum of cavity closure conditions. A detailed comparison of computational simulation and physical experiment at similar conditions is also included as a means to validate the computational results.

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References

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Figures

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Fig. 1

Snapshots from water tunnel testing and corresponding CFD-based representations of supercavity closure modes. For CFD results, volume fraction isosurfaces of 50% gas, opaque, and 10% gas, translucent, are shown.

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Fig. 2

Series of computational meshes applied to convergence study

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Fig. 3

Mesh convergence study. Time histories of pressure at probe located 0.67 cavitator diameters aft of forward face.

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Fig. 4

Pressure histories from probes distributed along length of pulsing, Fr = 24.5, CFD cavity. A 50% volume fraction gas isosurface is shown.

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Fig. 5

Computational and experimental internal cavity pressure for twin vortex, re-entrant jet, and pulsating supercavities

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Fig. 6

Ventilation rate versus cavitation number for CFD results at three Froude numbers

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Fig. 7

Highly resolved CFD representation of ventilated twin vortex cavity (Fr = 12.3, CQ = 1.07, σ = 0.055). Cavity illustrated with gas volume fraction equal to 0.5 translucent isosurface. Mesh density illustrated on isosurface. Disk cavitator colored by pressure.

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Fig. 8

Resolution of supercavities with incompressible and compressible finite volume computational physics. Cavities illustrated with 0.5 gas volume fraction isosurfaces.

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Fig. 9

CFD representation of mode two pulsing cavity (Fr = 24.5, CQ = 0.268, σ = 0.045). Cavity illustrated with isosurface of gas volume fraction equal to 0.5. Progress of wave corresponding to pulsation illustrated with arrows.

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Fig. 10

CFD representation of supercavities near the limit of linear Paryshev stability. Cavities illustrated with isosurface of gas volume fraction equal to 0.5.

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Fig. 11

Drawings and photographs of water tunnel test configuration (dimensions in mm)

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Fig. 12

Illustration of computational mesh employed to generate the Froude number matched pulsating supercavity simulation

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Fig. 13

Froude 4.5, mode 2, pulsating supercavities: (a) image from ARL-PSU 0.305 m water tunnel, (b) CFD cavity illustrated with 0.5 gas volume fraction isosurface, and (c) CFD cavity illustrated with 0.25 gas volume fraction isosurface

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Fig. 14

Pressure histories, Froude 4.5, mode 2, pulsating supercavity, water tunnel, and CFD

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Fig. 15

Pressure spectra, Froude 4.5, mode 2, pulsating supercavity, water tunnel, and CFD

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