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On the unsteady behaviour of cavity flow over a two-dimensional wall-mounted fence

Published online by Cambridge University Press:  10 July 2019

Luka Barbaca Open the ORCID record for Luka Barbaca [Opens in a new window] ,
Bryce W. Pearce Open the ORCID record for Bryce W. Pearce [Opens in a new window] ,
Harish Ganesh ,
Steven L. Ceccio  and
Paul A. Brandner Open the ORCID record for Paul A. Brandner [Opens in a new window]
Luka Barbaca*
Affiliation:
Australian Maritime College, University of Tasmania, Launceston, TAS, 7250, Australia
Bryce W. Pearce
Affiliation:
Australian Maritime College, University of Tasmania, Launceston, TAS, 7250, Australia
Harish Ganesh
Affiliation:
Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
Steven L. Ceccio
Affiliation:
Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI 48109, USA
Paul A. Brandner
Affiliation:
Australian Maritime College, University of Tasmania, Launceston, TAS, 7250, Australia
*
†Email address for correspondence: [email protected]
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Abstract

The topology and unsteady behaviour of ventilated and natural cavity flows over a two-dimensional (2-D) wall-mounted fence are investigated for fixed length cavities with varying free-stream velocity using high-speed and still imaging, X-ray densitometry and dynamic surface pressure measurement in two experimental facilities. Cavities in both ventilated and natural flows were found to have a re-entrant jet closure, but not to exhibit large-scale oscillations, yet the irregular small-scale shedding at the cavity closure. Small-scale cavity break-up was associated with a high-frequency broadband peak in the wall pressure spectra, found to be governed by the overlying turbulent boundary layer characteristics, similar to observations from single-phase flow over a forward-facing step. A low-frequency peak reflecting the oscillations in size of the re-entrant jet region, analogous to ‘flapping’ motion in single-phase flow, was found to be modulated by gravity effects (i.e. a Froude number dependence). Likewise, a significant change in cavity behaviour was observed as the flow underwent transition analogous to the transition from sub- to super-critical regime in open-channel flow. Differences in wake topology were examined using shadowgraphy and proper orthogonal decomposition, from which it was found that the size and number of shed structures increased with an increase in free-stream velocity for the ventilated case, while remaining nominally constant in naturally cavitating flow due to condensation of vaporous structures.

JFM classification

Drops and Bubbles: Cavitation Multiphase and Particle-laden Flows: Multiphase flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 874 , 10 September 2019 , pp. 483 - 525
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Copyright
© 2019 Cambridge University Press 

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References

Arndt, R. E. A., Hambleton, W. T., Kawakami, E. & Amromin, E. L. 2009 Creation and maintenance of cavities under horizontal surfaces in steady and gust flows. Trans. ASME J. Fluids Engng 131 (11), 111301.Google Scholar
Awasthi, M., Devenport, W. J., Glegg, S. A. L. & Forest, J. B. 2014 Pressure fluctuations produced by forward steps immersed in a turbulent boundary layer. J. Fluid Mech. 756, 384–421.Google Scholar
Barbaca, L., Pearce, B. W. & Brandner, P. A. 2017a Experimental study of ventilated cavity flow over a 3-D wall-mounted fence. Intl J. Multiphase Flow 97, 10–22.Google Scholar
Barbaca, L., Pearce, B. W. & Brandner, P. A. 2017b Numerical analysis of ventilated cavity flow over a 2-D wall mounted fence. Ocean Engng 141, 143–153.Google Scholar
Barbaca, L., Pearce, B. W. & Brandner, P. A. 2018 An experimental study of cavity flow over a 2-D wall-mounted fence in a variable boundary layer. Intl J. Multiphase Flow 105, 234–249.Google Scholar
Belle, A., Brandner, P. A., Pearce, B. W., de Graaf, K. L. & Clarke, D. B. 2016 Artificial thickening and thinning of cavitation tunnel boundary layers. Exp. Therm. Fluid Sci. 78, 75–89.Google Scholar
Brandner, P. A., Pearce, B. W. & de Graaf, K. L. 2015 Cavitation about a jet in crossflow. J. Fluid Mech. 768, 141–174.Google Scholar
Brandner, P. A., Lecoffre, Y. & Walker, G. J. 2007 Design considerations in the development of a modern cavitation tunnel. In Proceedings of the 16th Australasian Fluid Mechanics Conference, 16AFMC, pp. 630–637. AFMS.Google Scholar
Brandner, P. A., Walker, G. J., Niekamp, P. N. & Anderson, B. 2010 An experimental investigation of cloud cavitation about a sphere. J. Fluid Mech. 656, 147–176.Google Scholar
Brennen, C. E. 1970a Cavity surface wave patterns and general appearance. J. Fluid Mech. 44 (1), 33–49.Google Scholar
Brennen, C. E. 1970b Some cavitation experiments with dilute polymer solutions. J. Fluid Mech. 44 (1), 51–63.Google Scholar
Brennen, C. E. 1995 Cavitation and Bubble Dynamics. Oxford University Press.Google Scholar
Callenaere, M., Franc, J. P., Michel, J. M. & Riondet, M. 2001 The cavitation instability induced by the development of a re-entrant jet. J. Fluid Mech. 444, 223–256.Google Scholar
Camussi, R., Felli, M., Pereira, F., Aloisio, G. & Marco, A. D. 2008 Statistical properties of wall pressure fluctuations over a forward-facing step. Phys. Fluids 20 (7), 075113.Google Scholar
Ceccio, S. L. 2010 Friction drag reduction of external flows with bubble and gas injection. Annu. Rev. Fluid Mech. 42 (1), 183–203.Google Scholar
Chanson, H. 1989 Study of air entrainment and aeration devices. J. Hydraul. Res. 27 (3), 301–319.Google Scholar
Chanson, H. 1990 Study of air demand on spillway aerator. Trans. ASME J. Fluids Engng 112, 343–350.Google Scholar
Chanson, H. 1997 Air Bubble Entrainment in Free-Surface Turbulent Shear Flows. Academic Press.Google Scholar
Dimaczek, G., Tropea, C. & Wang, A. B. 1989 Turbulent flow over two-dimensional, surface-mounted obstacles: plane and axisymmetric geometries. In Advances in Turbulence 2: Proceedings of the Second European Turbulence Conference, Berlin, August 30–September 2, 1988, pp. 114–121. Springer.Google Scholar
Driver, D. M., Seegmiller, H. L. & Marvin, J. G. 1987 Time-dependent behavior of a reattaching shear layer. AIAA J. 25 (7), 914–919.Google Scholar
Farabee, T. M. & Casarella, M. J. 1986 Measurements of fluctuating wall pressure for separated/reattached boundary layer flows. J. Vib. Acoust. 108 (3), 301–307.Google Scholar
Franc, J. P. 2001 Partial cavity instabilities and re-entrant jet. In Fourth International Symposium on Cavitation – CAV2001, Californian Institute of Technology, Pasadena, California, US.Google Scholar
Franc, J. P. & Michel, J. M. 2004 Fundamentals of Cavitation, Fluid Mechanics and Its Applications, vol. 76. Kluwer Academic Publishers.Google Scholar
Furness, R. A. & Hutton, S. P. 1975 Experimental and theoretical studies of two-dimensional fixed-type cavities. Trans. ASME J. Fluids Engng 97 (4), 515–521.Google Scholar
Ganesh, H.2015 Bubbly shock propagation as a cause of sheet to cloud transition of partial cavitation and stationary cavitation bubbles forming on a delta wing vortex, University of Michigan. Thesis.Google Scholar
Ganesh, H., Mäkiharju, S. A. & Ceccio, S. L. 2016 Bubbly shock propagation as a mechanism for sheet-to-cloud transition of partial cavities. J. Fluid Mech. 802, 37–78.Google Scholar
Gopalan, S. & Katz, J. 2000 Flow structure and modeling issues in the closure region of attached cavitation. Phys. Fluids 12 (4), 895–911.Google Scholar
de Graaf, K. L., Brandner, P. A. & Pearce, B. W. 2016 Spectral content of cloud cavitation about a sphere. J. Fluid Mech. 812, R1.Google Scholar
Graziani, A., Lippert, M., Uystepruyst, D. & Keirsbulck, L. 2017 Scaling and flow dependencies over forward-facing steps. Intl J. Heat Fluid Flow 67 (Part A), 220–229.Google Scholar
Hager, W. H., Bremen, R. & Kawagoshi, N. 1990 Classical hydraulic jump: length of roller. ASCE J. Hydraul. Res. 28 (5), 591–608.Google Scholar
Hudy, L. M., Naguib, A. M. Jr & William, M. H. 2003 Wall-pressure-array measurements beneath a separating/reattaching flow region. Phys. Fluids 15 (3), 706–717.Google Scholar
Iyer, C. O. & Ceccio, S. L. 2002 The influence of developed cavitation on the flow of a turbulent shear layer. Phys. Fluids 14 (10), 3414–3431.Google Scholar
Karn, A., Arndt, R. E. A. & Hong, J. 2016 An experimental investigation into supercavity closure mechanisms. J. Fluid Mech. 789, 259–284.Google Scholar
Kawanami, Y., Kato, H. & Yamaguchi, H. 1998 Three-dimensional characteristics of the cavities formed on a two-dimensional hydrofoil. In 3rd International Symposium on Cavitation, Grenoble, France, vol. 1, pp. 191–196.Google Scholar
Kawanami, Y., Kato, H., Yamaguchi, H., Tanimura, M. & Tagaya, Y. 1997 Mechanism and control of cloud cavitation. Trans. ASME J. Fluids Engng 119 (4), 788–794.Google Scholar
Knapp, R. T. 1955 Recent investigations of the mechanisms of cavitation and cavitation damage. Trans. ASME 77, 1045–1054.Google Scholar
Kramer, K., Hager, W. H. & Minor, H.-E. 2006 Development of air concentration on chute spillways. J. Hydraul. Engng ASCE 132 (9), 908–915.Google Scholar
Kubota, A., Kato, H., Yamaguchi, H. & Maeda, M. 1989 Unsteady structure measurement of cloud cavitation on a foil section using conditional sampling technique. Trans. ASME J. Fluids Engng 111 (2), 204–210.Google Scholar
Kunz, R. F., Stinebring, D. R., Chyczewski, T. S., Boger, D. A., Gibeling, H. J. & Govindan, T. R. 1999 Multi-phase CFD analysis of natural and ventilated cavitation about submerged bodies. In Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM’99, San Francisco, California, USA, 18–23 July 1999, p. 1. ASME.Google Scholar
Laali, A. R.1980 Ecoulements ventiles. Etude de l’entrainement d’air. Cas d’une cavite formee entre un jet plan et une paroi solide. Thesis, University of Grenoble.Google Scholar
Laali, A. R. & Michel, J. M. 1984 Air entrainment in ventilated cavities: case of the fully developed ‘half-cavity’. Trans ASME J. Fluids Engng 106 (3), 327–335.Google Scholar
Laberteaux, K. R. & Ceccio, S. L. 2001a Partial cavity flows. Part 1. Cavities forming on models without spanwise variation. J. Fluid Mech. 431, 1–41.Google Scholar
Laberteaux, K. R. & Ceccio, S. L. 2001b Partial cavity flows. Part 2. Cavities forming on test objects with spanwise variation. J. Fluid Mech. 431, 43–63.Google Scholar
Lang, T. G. & Daybell, D. A. 1961 Water tunnel tests of three vented hydrofoils in two-dimensional flow. J. Ship Res. 5 (3), 1–15.Google Scholar
de Lange, D. F., de Bruin, G. J. & van Wijngaarden, L. 1994 On the mechanism of cloud cavitation - experiment and modelling. In 2nd International Syposium on Cavitation, Tokyo, 1994, pp. 45–49.Google Scholar
Lauterborn, W. & Bolle, H. 1975 Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary. J. Fluid Mech. 72 (2), 391–399.Google Scholar
Le, Q., Franc, J. P. & Michel, J. M. 1993 Partial cavities: global behavior and mean pressure distribution. Trans. ASME J. Fluids Engng 115 (2), 243–248.Google Scholar
Lee, I. H., Mäkiharju, S. A., Ganesh, H. & Ceccio, S. L. 2016 Scaling of gas diffusion into limited partial cavities. Trans. ASME J. Fluids Engng 138 (5), 051301.Google Scholar
Leroux, J. B., Astolfi, J. A. & Billard, J. Y. 2004 An experimental study of unsteady partial cavitation. Trans. ASME J. Fluids Engng 126 (1), 94–101.Google Scholar
Lush, P. A. & Skipp, S. R. 1986 High speed cine observations of cavitating flow in a duct. Intl J. Heat Fluid Flow 7 (4), 283–290.Google Scholar
Mäkiharju, S. A. & Ceccio, S. L. 2018 On multi-point gas injection to form an air layer for frictional drag reduction. Ocean. Engng 147, 206–214.Google Scholar
Mäkiharju, S. A., Elbing, B. R., Wiggins, A., Schinasi, S., Vanden-Broeck, J. M., Perlin, M., Dowling, D. R. & Ceccio, S. L. 2013a On the scaling of air entrainment from a ventilated partial cavity. J. Fluid Mech. 732, 47–76.Google Scholar
Mäkiharju, S. A., Gabillet, C., Paik, B. G., Chang, N. A., Perlin, M. & Ceccio, S. L. 2013b Time-resolved two-dimensional X-ray densitometry of a two-phase flow downstream of a ventilated cavity. Exp. Fluids 54, 1561.Google Scholar
Mäkiharju, S. A., Ganesh, H. & Ceccio, S. L. 2017a The dynamics of partial cavity formation, shedding and the influence of dissolved and injected non-condensable gas. J. Fluid Mech. 829, 420–458.Google Scholar
Mäkiharju, S. A., Lee, I. H. R., Filip, G. P., Maki, K. J. & Ceccio, S. L. 2017b The topology of gas jets injected beneath a surface and subject to liquid cross-flow. J. Fluid Mech. 818, 141–183.Google Scholar
Mäkiharju, S. A., Perlin, M. & Ceccio, S. L. 2013c Time resolved X-ray densitometry for cavitating and ventilated partial cavities. Intl Ship. Progress 60 (1–4), 471–494.Google Scholar
Matveev, K. I. & Miller, M. J. 2011 Air cavity with variable length under a model hull. Proc. Inst. Mech. Engrs 225 (2), 161–169.Google Scholar
May, A.1975 Water entry and the cavity-running behaviour of missiles. Report 75-2. NAVSEA Hydroballistics Advisory Comitee.Google Scholar
Michel, J. M. 1984 Some features of water flows with ventilated cavities. Trans. ASME J. Fluids Engng 106 (3), 319–326.Google Scholar
Murai, Y. 2014 Frictional drag reduction by bubble injection. Exp. Fluids 55, 1773.Google Scholar
Murzyn, F. & Chanson, H. 2009 Free-surface fluctuations in hydraulic jumps: experimental observations. Exp. Therm. Fluid Sci. 33 (7), 1055–1064.Google Scholar
Noack, B. R., Afanasiev, K., Morzynsky, M., Tadmor, G. & Thiele, F. 2003 A hierarchy of low-dimensional models for the transient and post-transient cylinder wake. J. Fluid Mech. 497, 335–363.Google Scholar
Oudheusden, B. W., van Scarano, F., Hinsberg, N. P. & van Watt, D. W. 2005 Phase-resolved characterization of vortex shedding in the near wake of a square-section cylinder at incidence. Exp. Fluids 39 (1), 86–98.Google Scholar
Papillon, B., Sabourin, M., Couston, M. & Deschenes, C. 2002 Methods for air admission in hydroturbines. In Proceedings of the XXIst IAHR Symp. on Hydraulic Mach. and Syst (Lausanne, Switzerland), pp. 1–6.Google Scholar
Pearce, B. & Brandner, P. 2014 Inviscid cavity flow over a wall-mounted fence. Ocean. Engng 80, 13–24.Google Scholar
Pham, T. M., Larrarte, F. & Fruman, D. H. 1999 Investigation of unsteady sheet cavitation and cloud cavitation mechanisms. Trans. ASME J. Fluids Engng 121 (2), 289–296.Google Scholar
Prothin, S., Billard, J. Y. & Djeridi, H. 2016 Image processing using proper orthogonal and dynamic mode decompositions for the study of cavitation developing on a NACA0015 foil. Exp. Fluids 57, 157.Google Scholar
Reisman, G. E., Wang, Y.-C. & Brennen, C. E. 1998 Observations of shock waves in cloud cavitation. J. Fluid Mech. 355, 255–283.Google Scholar
Richard, G. L. & Gavrilyuk, S. L. 2013 The classical hydraulic jump in a model of shear shallow-water flows. J. Fluid Mech. 725, 492–521.Google Scholar
Russell, P. S., Giosio, D. R., Venning, J. A., Pearce, B. W. & Brandner, P. A. 2016 Microbubble generation from condensation and turbulent breakup of sheet cavitation. In 31st Symposium on Naval Hydrodynamics 11–16 September 2016, Monterey, California, USA, pp. 1–13. Office of Naval Research Science and Technology, USA.Google Scholar
Semenenko, V. N. 2002 Artificial supercavitation, physics and calculation. In Lecture Notes from the RTO AVT/VKI Special Course on Supercavitating Flows, von Karman Institute for Fluid Dynamics.Google Scholar
Simpson, R. L. 1989 Turbulent boundary-layer separation. Annu. Rev. Fluid Mech. 21 (1), 205–232.Google Scholar
Sirovich, L. 1987 Turbulence and the dynamics of coherent structures. Q. Appl. Maths 45, 561–590.Google Scholar
Stutz, B. & Reboud, L. J. 1997 Experiments on unsteady cavitation. Exp. Fluids 22 (3), 191–198.Google Scholar
Toombes, L. & Chanson, H. 2007 Free-surface aeration and momentum exchange at a bottom outlet. J. Hydraul. Res. 45 (1), 100–110.Google Scholar
Verron, J. & Michel, J.-M. 1984 Base-vented hydrofoils of finite span under a free-surface: an experimental investigation. J. Ship Res. 28 (2), 90–106.Google Scholar
Vigneau, O., Pignoux, S., Carreau, J. L. & Roger, F. 2001 Influence of the wall boundary layer thickness on a gas jet injected into a liquid crossflow. Exp. Fluids 30 (4), 458–466.Google Scholar
Wang, H.2014 Turbulence and air entrainment in hydraulic jumps, University of Queensland. Thesis.Google Scholar
Welch, P. 1967 The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans. Audio Electroacoust. 15 (2), 70–73.Google Scholar
Yu, P. W. & Ceccio, S. L. 1997 Diffusion induced bubble populations downstream of a partial cavity. Trans. ASME J. Fluids Engng 119 (4), 782–787.Google Scholar

Barbaca et al. supplementary movie 1

A forward-lit high-speed movie (1 kHz) of the oscillations in the cavity closure region observed in the large-scale experiment.

Download Barbaca et al. supplementary movie 1(Video)
Video 9.1 MB

Barbaca et al. supplementary movie 2

A back-lit high-speed movie (1 kHz) of the oscillations in the cavity closure region observed in the large-scale experiment.

Download Barbaca et al. supplementary movie 2(Video)
Video 9 MB

Barbaca et al. supplementary movie 3

A back-lit high-speed movie (50 kHz) containing the sequence of extracted frames presented in figure 5, showing the break-up and condensation of bubbly structures in the wake of a natural cavity.

Download Barbaca et al. supplementary movie 3(Video)
Video 2.6 MB

Barbaca et al. supplementary movie 4

A forward-lit high speed movie showing the cavity topology and dynamics observed in the small-scale experiment.

Download Barbaca et al. supplementary movie 4(Video)
Video 7.2 MB