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On minimum cavitation number of the ventilated supercavity in water tunnel

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Abstract

A numerical method consisted of the cavitation number correction and the model coefficient correction algorithms is presented to simulate the supercavity in water tunnel considering blockage and gravity effects based on the Logvinovich model. A model of the minimum cavitation number is also proposed based on the dimensional analysis theory, and the minimum cavitation number is formulated based on the model and numerical results using the nonlinear least square method (NLLS). The formula is verified by experiment to some extent.

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References

  1. Wu Y T, Whitney A K, Brennen C. Cavity-flow wall effects and correction rules. J Fluid Mech, 1971, 49: 223–256

    Article  ADS  MATH  Google Scholar 

  2. Chen X, Lu C J, Li J, et al. The wall effect on ventilated cavitating flows in closed cavitation tunnels. J Hydrodyn Ser B, 2008, 20(5): 561–566

    Article  Google Scholar 

  3. Zhou J J, Yu K P, Min J X, et al. The comparative study of ventilated supercavity shape in water tunnel and infinite flow field. J Hydrodyn Ser B, 2010, 22(5): 689–696

    Article  Google Scholar 

  4. Brennen C. A numerical solution of axisymmetric cavity flows. J Fluid Mech, 1969, 37(4): 671–688

    Article  ADS  MATH  Google Scholar 

  5. Tulin M P. Handbook of Fluid Dynamics. New York: McGraw-Hill, 1961. 1224–1246

    Google Scholar 

  6. Karlikov V P, Sholomovich G I. Method of approximate account for the wall effect in cavitation flow around bodies in water tunnel. Fluid Dyn, 1966, 1(4): 61–64

    Article  ADS  Google Scholar 

  7. Kawakami E, Arndt R E A. Investigation of the Behavior of Ventilated Supercavities. J Fluids Eng, 2011, 133: 091305

    Article  Google Scholar 

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

    Google Scholar 

  9. Vasin A D. The principle of independence of the cavity sections expansion (Logvinovich’s principle) as the basis for investigation on cavitation flows. USA: Defense Technical Information Center, 2001. 2–6

    Google Scholar 

  10. Savchenko Y N. Experimental Investigation of Supercavitating Motion of Bodies. In: R Van den Braembussche ed. RTO-AVT Lecture Series on “Supercavitating Flows”. Brussels, Belgium: Von Karman Institute, 2001. 43–66

    Google Scholar 

  11. Birkhoff G, Zarantonello E H. Jets, Wakes, and Cavities. New York: Academic Press, 1957. 406

    MATH  Google Scholar 

  12. Serebryakov V V. Physical-mathematical bases of the principle of independence of cavity expansion. In: S L Ceccio ed. Proceedings of the 7th International Symposium on Cavitation. Ann Arbor, Michigan, USA, 2009. 996–1009

  13. Kinzel M P, Lindau J W, Kunz R F. Air Entrainment Mechanisms from Artificial Supercavities: Insight based on numerical simulations. Ceccio S L, ed. In: Proceedings of the 7th International Symposium on Cavitation, Ann Arbor, Michigan, USA, 2009. 815–828

  14. Guo J H, Lu C J, Chen Y, et al. Study of ventilated cavity morphology in different gas leakage regime. J Hydrodyn Ser B, 2010, 22(5), Supplement 1: 820–826

    Article  Google Scholar 

  15. Spurk J H, Bad K. On the gas loss from ventilated supercavities. Acta Mech, 2002, 155: 125–135

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  17. Wei Y J, Cao W, Wang C, et al. Experiment Research on Character of Ventilated Supercavity. Zhuang F G, Li J C, eds. In: New trends in fluid mechanics research, Shanghai, China: Tsinghua University Press & Springer, 2009. 348–351

    Google Scholar 

  18. Lu C J, He Y S, Chen X, et al. Numerical and Experimental Research on Cavitating Flows. Zhuang F G, Li J C, eds. In: New trends in fluid mechanics research, Shanghai, China: Tsinghua University Press & Springer, 2009. 45–52

    Google Scholar 

  19. Logvinovich G V. Flows with developed cavitation (in Russian). Eng J, 1961, 1(1): 35–50

    MATH  Google Scholar 

  20. Zou W, Yu K P, Arndt R E A, et al. On the stability of supercavity with angle of attack. In: Proceedings of the 8th International Symposium on Cavitation, Singapore, 2012

    Google Scholar 

  21. Epshtein L A. Developed Cavitation Flows (in Russian). Reprinted with translation from: additions by L. A. Epshtein in book J. S. Pearsall. Moscow, Russia: Publishing House MIR, 1975. 73: 103

    Google Scholar 

  22. Yu K P, Zou W, Arndt R E A, et al. Supercavity motion with inertial force in the vertical plane. J Hydrodyn Ser B, 2012, 24(5): 752–759

    Article  Google Scholar 

  23. Semenenko V N. Artificial supercavitation. physics and calculation. Van den Braembussche R, ed. In: RTO-AVT Lecture Series on “Supercavitating Flows”. Brussels, Belgium: Von Karman Institute, 2001. 205–237

    Google Scholar 

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Authors and Affiliations

  1. The School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China

    Wang Zou & KaiPing Yu

  2. Saint Anthony Falls Laboratory, University of Minnesota, Minneapolis, 55414, USA

    Wang Zou, R. E. A. Arndt & E. Kawakami

Authors
  1. Wang Zou
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  2. KaiPing Yu
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  3. R. E. A. Arndt
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  4. E. Kawakami
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Correspondence to Wang Zou or KaiPing Yu.

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Zou, W., Yu, K., Arndt, R.E.A. et al. On minimum cavitation number of the ventilated supercavity in water tunnel. Sci. China Phys. Mech. Astron. 56, 1945–1951 (2013). https://doi.org/10.1007/s11433-012-4917-0

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  • DOI: https://doi.org/10.1007/s11433-012-4917-0

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