Hostname: page-component-8448b6f56d-c47g7 Total loading time: 0 Render date: 2024-04-23T14:33:58.160Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical Investigation of Cavitation Interacting with Pressure Wave

Published online by Cambridge University Press:  09 August 2018

J. G. Zheng  and
B. C. Khoo
J. G. Zheng*
Affiliation:
Temasek Laboratories, National University of Singapore, Singapore 117411. Department of Mechanical Engineering, National University of Singapore, Singapore 119260.
B. C. Khoo*
Affiliation:
Temasek Laboratories, National University of Singapore, Singapore 117411. Department of Mechanical Engineering, National University of Singapore, Singapore 119260. Singapore-MIT Alliance, National University of Singapore, Singapore 117576.
*
*Corresponding author.Email address:tslzhen@nus.edu.sg
Email: mpekbc@nus.edu.sg
Get access

Abstract

A computational fluid dynamics solver based on homogeneous cavitation model is employed to compute the two-phase cavitating flow. The model treats the two-phase regime as the homogeneous mixture of liquid and vapour which are locally assumed to be under both kinetic and thermodynamic equilibrium. As our focus is on pressure wave formation, propagation and its impact on cavitation bubble, the compressibility effects of liquid water have to be accounted for and hence the flow is considered to be compressible. The cavitating flow disturbed by the introduced pressure wave is simulated to investigate the unsteady features of cavitation due to the external perturbations. It is observed that the cavity becomes unstable, locally experiencing deformation or collapse, which depends on the shock wave intensity and freestream flow speed.

Keywords

35L4065M0865M2276T10Isentropic cavitation modelcavitating flowpressure wave
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 7 , Issue 4 , November 2014 , pp. 524 - 536
Copyright
Copyright © Global Science Press Limited 2014

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Blazek, J., Computational fluid dynamics: principles and applications, ELSEVIER, 2001.Google Scholar
[2] Causon, D. M. and Mingham, C. G., Finite volume simulation of unsteady shock-cavitation in compressible water, Int. J. Numer. Meth. Fluids, 72 (2013), pp. 632–649.CrossRefGoogle Scholar
[3] Cocchi, J. P., Quelques contributions aux traitements numeriques de problemes a interface liquide-vapeur. Application a la cavitation aux hypervitesses, PhD Thesis, Universite de Provence (Aix-Marseille I), (1997).Google Scholar
[4] Hu, Z. M., Dou, H. S. and Khoo, B. C., On the modified dispersion-controlled dissipative (DCD) scheme for computation of flow supercavitation, Comput. Fluids, 40 (2011), pp. 315–323.CrossRefGoogle Scholar
[5] Kunz, R. F., Boger, D. A. and Stinebring, D. R., A preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction, Comput. Fluids, 29 (2000), pp. 849–875.Google Scholar
[6] Liu, T. G., Khoo, B. C. and Xie, W. F., Isentropic one-fluid modeling of unsteady cavitating flow, J. Comput. Phys., 201 (2004), pp. 80–108.Google Scholar
[7] Neaves, M. D. and Edwards, J. R., All-speed time-accurate underwater projectile calculations using a preconditioning algorithm, J. Fluids Eng., 128 (2006), pp. 284–296.CrossRefGoogle Scholar
[8] Saurel, R., Petitpas, F. and Berry, R. A., Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures, J. Comput. Phys., (228) 2009, pp. 1678–1712.Google Scholar
[9] Schmidt, D. P., Rutland, C. J. and Corradini, M. L., A fully compressible two-dimensional model of small high speed cavitating nozzles, Atomization Sprays, 9 (1999), pp. 255–276.Google Scholar
[10] Schmidt, S. J., Sezal, I. H., Schnerr, G. H. and Talhamer, M., Riemann techniques for the simulation of compressible liquid flows with phase-transition at all Mach numbers -shock and wave dynamics in cavitating 3-D micro and macro systems, AIAA paper, (2008) pp. 092407(1-24).Google Scholar
[11] Schmidt, S. J., Talhamer, M. and Schnerr, G. H., Inertia controlled instability and small scale structures of sheet and cloud cavitation, Proceedings of the 7th International Symposium on Cavitation, (2009) pp. 17(1–14).Google Scholar
[12] Shu, C. W. and Osher, S., Efficient implementation of essentially non-oscillatory shock capturing schemes, J. Comput. Phys., 77 (1988), pp. 439–471.Google Scholar
[13] Sun, M. Y. and Koita, T., Numerical and experimental study of secondary cavitation induced by underwater electric discharge in a tube, doi:10.3850/978—981—07—2826—7.241.Google Scholar
[14] Sun, M. Y., A thermodynamic and dynamic subgrid closure model for two-material cells, Int. J. Numer. Meth. Fluids, 73(2) (2013), pp. 130–151.CrossRefGoogle Scholar
[15] Toro, E. F., Riemann solvers and numerical methods for fluid Dynamics: a practical introduction, Springer-Verlag, Berlin Heidelberg, 1999.Google Scholar
[16] Van Leer, B., Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method, J. Comput. Phys., 32 (1979), pp. 101–136.Google Scholar
[17] Van Leer, B., Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes, Commun. Comput. Phys., 1(2) (2006), pp. 192–206.Google Scholar
[18] Wallis, G. B., One-dimensional two-phase flow, New York: McGill-Hill, 1969.Google Scholar
[19] Zhang, L. X. and Khoo, B. C., Computations of partial and super cavitating flows using implicit pressure-based algorithm (IPA), Comput. Fluids, 73 (2013), pp. 1–9.CrossRefGoogle Scholar
[20] Zheng, J. G., Khoo, B. C. and Hu, Z. M., Simulation of wave-flow-cavitation interaction using a compressible homogenous flow method, Commun. Comput. Phys., 14(2) (2012), pp. 328–354.Google Scholar