Skip to main content
Log in

Modeling and simulation of supercavity with inertial force in the horizontal curvilinear motion

  • Published:
China Ocean Engineering Aims and scope Submit manuscript

Abstract

To make a curvilinear motion in the horizontal plane is one of the most contents for realizing the maneuverability of the supercavitating vehicle. It is significant to achieve the controllability and maneuverability of the vehicle in three dimensions both theoretically and practically on research. Models of angle of attack, gravity and inertial force effects on the supercavity in the horizontal curvilinear motion are established, respectively. The supercavity is simulated based on these models in combination with Logvinovich model and the unsteady gas-leakage rate model at the given ventilation rate, and the effect of the inertial force on it is analyzed numerically. Results show that the maximum deviation of the center line of the cross section of supercavity towards the outward normal direction of its trajectory increases as the cavitation number or curvature radius decrease and always occur in the tail because of the increase of inertial effects along the axis of supercavity from the cavitator when other models and flow parameters are constant for the given trajectory curvature. For the variable curvature, the supercavity sheds due to its instability caused by the time-varying angle of attack. The deviation increases along the length of supercavity if the curvature remains the same sign.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Chen, X., Lu, C. J., Li, J. and Chen, Y., 2011. Properties of natural cavitation flows around a 2-D wedge in shallow water, J. Hydrodyn. Ser. B., 23(6): 730–736.

    Article  MathSciNet  Google Scholar 

  • Fedorenko, N. S., Kozenko, V. F. and Kozenko, R. N., 2012. Experiment Study of the Inertial Motion of Supercavitating Models, Supercavity, Germany, Springer, 27–37.

    Google Scholar 

  • Grant, J. R. and Kirschner, I. N., 2003. High-speed motion in bubbly flows, Proceedings of the 5th International Symposium on Cavitation, Osaka, Japan, Cav03-GS-4-006.

    Google Scholar 

  • Guo, J. H., Lu, C. J, Chen, Y. and Cao, J. Y., 2010. Study of ventilated cavity morphology in different gas leakage regime, J. Hydrodyn. Ser. B., 22(5): 820–826.

    Article  Google Scholar 

  • Hu, Z. M., Dou, H. S. and Khoo, B. S., 2011. On the modified dispersion-controlled dissipative (DCD) scheme for computation of flow supercavitation, Comput. Fluids, 40(1): 315–323.

    Article  MATH  Google Scholar 

  • Kinzel, M. P., Lindau, J. W. and Kunz, R. F., 2009. Air Entrainment Mechanisms from Artificial Supercavities: Insight based on numerical simulations, Proceedings of the 7th International Symposium on Cavitation, Ann Arbor, Michigan, CAV2009-136.

    Google Scholar 

  • Kubenko, V. D. and Gavrilenko, O. V., 2009. Impact interaction of cylindrical body with a surface of cavity during supercavitation motion in compressible fluid, J. Fluids Struct., 25(5): 794–814.

    Article  Google Scholar 

  • Paryshev, E. V., 1978. Theoretical investigations of stability and pulsations of axisymmetric cavities, J. Proceedings of TsAGI, 1907: 17–40. (in Russian)

    Google Scholar 

  • Paryshev, E. V., 2006. Approximate mathematical models in high-speed hydrodynamics, J. Eng. Math., 55, 41–64.

    Article  MATH  MathSciNet  Google Scholar 

  • Savchenko, Y. N., 2001. Experimental investigation of supercavitating motion of bodies, RTO AVT/VKI Special Course: Supercavitating Flows, von Karman Institute for Fluid Dynamics, Rhode-Saint-Genese, Belgium, 43–66.

    Google Scholar 

  • Serebryakov, V.V, 2009. Physical — mathematical bases of the principle of independence of cavity expansion, Proceedings of the 7th International Symposium on Cavitation, Ann Arbor, Michigan, USA, CAV2009-169.

    Google Scholar 

  • Serebryakov, V. V., 1974. Ring model for calculation of axisymmetric flows with developed cavitation, J. Hydromech., 27, 25–29. (in Russian)

    Google Scholar 

  • Serebryakov, V. V., 1976. About one variant of the equations of the principle of independence of cavity expansion, J. Hydromech., 34, 45–48. (in Russian)

    Google Scholar 

  • Serebryakov, V. V., Kirchner, I. N. and Schnerr, G. H., 2009. High speed motion in water with supercavitation for sub-, trans-, supersonic Mach numbers, Proceedings of the 7th International Symposium on Cavitation, Ann Arbor, Michigan, USA, CAV2009-72.

    Google Scholar 

  • Serebryakov, V. V., 1997. Some problems of the supercavitation theory for sub or supersonic motion in water, High speed body motion in water, Kiev, Ukraine.

    Google Scholar 

  • Spurk, J. H., 2002. On the gas loss from ventilated supercavities, Acta. Mech., 155, 125–135.

    Article  MATH  Google Scholar 

  • Vasin, A. D., 2001. The principle of independence of the cavity sections expansion (Logvinovich’s principle) as the basis for investigation on cavitation flows, RTO AVT/VKI special course: supercavitating flows, von Karman Institute for Fluid Dynamics, Rhode-Saint-Genese, Belgium, 1–27.

    Google Scholar 

  • Zou, W., 2012. On the stability of supercavity with angle of attack, Proceedings of the 8th International Symposium on Cavitation, Singapore, No. 023.

    Google Scholar 

  • Zou, W., Yu, K. P. and Wan, X. H., 2010. Research on the gas-leakage rate of unsteady ventilated supercavity, J. Hydrodyn. Ser. B., 22(5): 778–783.

    Article  Google Scholar 

  • Zou, W., Yu, K. P., Arndt, R. E. A., Zhang, G. and Li, Z. W., 2013a. On the shedding of the ventilated supercavity with velocity disturbance, Ocean Eng., 57, 223–229.

    Article  Google Scholar 

  • Zou, W., Yu, K. P., Arndt, R. E. A. and Kawakami, E., 2013b. On minimum cavitation number of ventilated supercavity in water tunnel, Sci. Sin-Phys. Mech. Astron., 56(10): 1945–1951.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Wang Zou  (邹 望) or Kai-ping Yu  (于开平).

Additional information

This work was financially supported by the National Natural Science Foundation of China (Grant No. 10832007).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zou, W., Yu, Kp., Arndt, R.E.A. et al. Modeling and simulation of supercavity with inertial force in the horizontal curvilinear motion. China Ocean Eng 28, 31–42 (2014). https://doi.org/10.1007/s13344-014-0002-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13344-014-0002-y

Key words

Navigation