International Journal of Naval Architecture and Ocean Engineering

  • 제13권1호
  • /
  • Pages.450-465
  • /
  • 2021
  • /
  • 2092-6782(pISSN)
  • /
  • 2092-6790(eISSN)
대한조선학회 (The Society of Naval Architects of Korea)
권호 표지
DOI QR코드

DOI QR Code

Numerical investigation of water-entry characteristics of high-speed parallel projectiles

  • Lu, Lin (School of Mechatronics Engineering, North University of China) ;
  • Wang, Chen (School of Mechatronics Engineering, North University of China) ;
  • Li, Qiang (School of Mechatronics Engineering, North University of China) ;
  • Sahoo, Prasanta K. (Department of Ocean Engineering and Sciences, Florida Institute of Technology)
  • 투고 : 2021.03.01
  • 심사 : 2021.05.26
  • 발행 : 2021.11.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, an attempt has been made to investigate the water-entry characteristics of the high-speed parallel projectile numerically. The shear stress transport k-𝜔 turbulence model and the Zwart-Gerber-Belamri cavitation model based on the Reynolds-Averaged Navier-Stokes method were used. The grid independent inspection and grid convergence index is carried out and verified. The influences of the parallel water-entry on flow filed characteristics, trajectory stability and drag reduction performance for different values of initial water-entry speed (𝜈0 = 280 m/s, 340 m/s, 400 m/s) and clearance between the parallel projectiles (Lp = 0.5D, 1.0D, 2.0D, 3.0D) are presented and analyzed in detail. Under the condition of the parallel water-entry, it can be found that due to the intense interference between the parallel projectiles, the distribution of cavity is non-uniform and part of the projectile is exposed to water, resulting in the destruction of the cavity structure and the decline of trajectory stability. In addition, the parallel projectile suffers more severe lateral force that separates the two projectiles. The drag reduction performance is impacted and the velocity attenuation is accelerated as the clearance between the parallel projectiles reduces.

키워드

과제정보

This work is supported by the National Natural Science Foundation of China (Grant No. 51909245), the Natural Science Foundation of Shanxi Province (Grant No. 201801D221038), Shanxi Scholarship Council of China (Grant No. 2020-106), the Postgraduate Science and Technology Project of North University of China (Grant No. 20201701).

참고문헌

  1. Alaoui, A.E.M., Neme, A., Tassin, A., Jacques, N., 2012. Experimental study of co-efficients during vertical water entry of axisymmetric rigid shapes at constant speeds. Appl. Ocean Res. 37, 183-197. https://doi.org/10.1016/j.apor.2012.05.007
  2. Alaoui, A.E.M., Neme, A., Scolan, Y.M., 2015. Experimental investigation of hydro-dynamic loads and pressure distribution during a pyramid water entry. J. Fluid Struct. 54, 925-935. https://doi.org/10.1016/j.jfluidstructs.2015.01.018
  3. Aristoff, J.M., Truscott, T.T., Techet, A.H., Bush, J.W.M., 2010. The water entry of decelerating spheres. Phys. Fluids 22 (3), 032102. https://doi.org/10.1063/1.3309454
  4. Bai, X., Zhang, W., Wang, Y., 2020. Deflected oscillatory wake pattern behind two side-by-side circular cylinders. Ocean Eng. 197, 106847. https://doi.org/10.1016/j.oceaneng.2019.106847
  5. Chen, T., Huang, W., Zhang, W., Qi, Y., Guo, Z., 2019a. Experimental investigation on trajectory stability of high-speed water entry projectiles. Ocean Eng. 175, 16-24. https://doi.org/10.1016/j.oceaneng.2019.02.021
  6. Chen, C., Sun, T., Wei, Y., Wang, C., 2019b. Computational analysis of compressibility effects on cavity dynamics in high-speed water-entry. Int. J. Nav. Archit. Ocean Eng. 11 (1), 495-509. https://doi.org/10.1016/j.ijnaoe.2018.09.004
  7. Dong, C., Sun, S., Song, H., Wang, Q., 2018. Numerical and experimental study on the impact between a free falling wedge and water. Int. J. Nav. Archit. Ocean Eng. 11, 233-243. https://doi.org/10.1016/j.ijnaoe.2018.04.004
  8. Gilbarg, D., Anderson, R.A., 1948. Influence of atmospheric pressure on the phenomena accompanying the entry of spheres into water. J. Appl. Phys. 19, 127-139. https://doi.org/10.1063/1.1698377
  9. Guo, Z., 2012. Research on Characteristics of Projectile Water Entry and Ballistic Resistance of Targets under Different Mediums. Ph.D. thesis. Harbin Institute of Technology, Harbin, China (in Chinese).
  10. Hong, Y., Wang, B., Liu, H., 2019. Numerical study of hydrodynamic loads at early stage of vertical high-speed water entry of an axisymmetric blunt body. Phys. Fluids 31 (10), 102105. https://doi.org/10.1063/1.5121283
  11. Hu, X., Zhao, X., Cheng, D., Zhang, D., 2017. Numerical simulation of water entry of twin wedges using a CIP-based method. In: The 27th International Ocean and Polar Engineering Conference. California, USA, San Francisco.
  12. Ji, B., Long, Y., Long, X., Qian, Z., Zhou, J., 2017. Large eddy simulation of turbulent attached cavitating flow with special emphasis on large scale structures of the hydrofoil wake and turbulence-cavitation interactions. J. Hydrodyn. Ser. B 29 (1), 27-39. https://doi.org/10.1016/S1001-6058(16)60715-1
  13. Li, Q., Lu, L., 2020. Numerical investigations of cavitation nose structure of a high-speed projectile impact on water-entry characteristics. J. Mar. Sci. Eng. 8 (4), 265. https://doi.org/10.3390/jmse8040265
  14. Li, D., Zhang, J., Zhang, M., Huang, B., Ma, X., Wang, G., 2019. Experimental study on water entry of spheres with different surface wettability. Ocean Eng. 187, 106123. https://doi.org/10.1016/j.oceaneng.2019.106123
  15. Li, Z., Sun, L., Yao, X., Wang, D., Li, F., 2020a. Experimental study on cavity dynamics in high Froude number water entry for different nosed projectiles. Appl. Ocean Res. 102, 102305. https://doi.org/10.1016/j.apor.2020.102305
  16. Li, Q., Lu, L., Cai, T., 2020b. Numerical investigations of trajectory characteristics of a high-speed water-entry projectile. AIP Adv. 10 (9), 095107. https://doi.org/10.1063/5.0011308
  17. Liu, H., Zhou, B., Han, X., Zhang, T., Zhou, B., Gho, W.M., 2020. Numerical simulation of water entry of an inclined cylinder. Ocean Eng. 215, 107908. https://doi.org/10.1016/j.oceaneng.2020.107908
  18. Lu, L., Wei, Y., Wang, C., Song, W., Liu, K., 2019. Tests for cavities and motion characteristics in process of two cylinders in parallel water entry at low speed, 0 J. Vib. Shock 38 (7), 42-49 (in Chinese).
  19. Lu, J., Wang, C., Wei, Y., Lu, L., Song, W., Tan, T., 2020. An experimental study on the effect of axis distances on the cavity evolution in the low-speed water entry process of two parallel cylinders. J. Vib. Shock 39 (12), 272-280 (in Chinese).
  20. May, A., 1951. Effect of surface condition of a sphere on its water-entry cavity. J. Appl. Phys. 22, 1219-1222. https://doi.org/10.1063/1.1699831
  21. May, A., Woodhull, J.C., 1950. The virtual mass of a sphere entering water vertically. J. Appl. Phys. 21, 1285-1289. https://doi.org/10.1063/1.1699592
  22. Menter, F.R., 1994. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J. 32 (8), 1598-1605. https://doi.org/10.2514/3.12149
  23. Mu, Q., Lv, Y., Wang, K., Yi, W., 2019. Numerical simulation on the cavitation flow of high speed oblique water entry of revolution body. Math. Probl Eng. 1-10.
  24. Nguyen, V.T., Phan, T.H., Duy, T.N., Park, W.G., 2020. 3D simulation of water entry of an oblique cylinder with six-degree-of-freedom motions using an efficient free surface flow model. Ocean Eng., 108409
  25. Panciroli, R., Shams, A., Porfiri, M., 2015. Experiments on the water entry of curved wedges: high speed imaging and particle image velocimetry. Ocean Eng. 94, 213-222. https://doi.org/10.1016/j.oceaneng.2014.12.004
  26. Qin, D., Pan, G., Huang, Q., Zhang, Z., Ke, J., 2018. Numerical investigation of different tip clearances effect on the hydrodynamic performance of pumpjet propulsor, 0 Int. J. Comput. Methods 15 (5), 1850037. https://doi.org/10.1142/S0219876218500378
  27. Schouveiler, L., Brydon, A., Leweke, T., Thompson, M.C., 2004. Interactions of the wakes of two spheres placed side by side. Eur. J. Mech. B Fluid 23 (1), 137-145. https://doi.org/10.1016/j.euromechflu.2003.05.004
  28. Scolan, Y.M., 2014. Oblique water entry of a three dimensional body. Int. J. Nav. Archit. Ocean Eng. 6 (4), 1197-1208. https://doi.org/10.2478/IJNAOE-2013-0239
  29. Shams, A., Jalalisendi, M., Porfiri, M., 2015. Experiments on the water entry of asymmetric wedges using particle image velocimetry. Phys. Fluids 27 (2), 027103. https://doi.org/10.1063/1.4907745
  30. Shentu, J., Zhao, T., Li, D., Zhao, X., 2019. Numerical simulations for water entry of hydrophobic objects. Ocean Eng. 190, 106485. https://doi.org/10.1016/j.oceaneng.2019.106485
  31. Shi, Y., Wang, G., Pan, G., 2019. Experimental study on cavity dynamics of projectile water entry with different physical parameters. Phys. Fluids 31 (6), 067103. https://doi.org/10.1063/1.5096588
  32. Shi, Y., Hua, Y., Pan, G., 2020a. Experimental study on the trajectory of projectile water entry with asymmetric nose shape. Phys. Fluids 32 (12), 122119. https://doi.org/10.1063/5.0033906
  33. Shi, Y., Gao, X., Pan, G., 2020b. Experimental and numerical investigation of the frequency-domain characteristics of impact load for AUV during water entry. Ocean Eng. 202, 107203. https://doi.org/10.1016/j.oceaneng.2020.107203
  34. Singhal, A.K., Athavale, M.M., Li, H., Jiang, Y., 2002. Mathematical basis and validation of the full cavitation model. J. Fluid Eng. 124 (3), 617-624. https://doi.org/10.1115/1.1486223
  35. Song, Z., Duan, W., Xu, G., Zhao, B., 2020. Experimental and numerical study of the water entry of projectiles at high oblique entry speed. Ocean Eng. 211, 107574. https://doi.org/10.1016/j.oceaneng.2020.107574
  36. Sooraj, P., Khan, M.H., Sharma, A., Agrawal, A., 2019. Wake analysis and regimes for flow around three side-by-side cylinders. Exp. Therm. Fluid Sci. 104, 76-88. https://doi.org/10.1016/j.expthermflusci.2019.02.009
  37. Sun, T., Shi, C., Zhang, G., Zong, Z., Wang, H., 2020a. Experimental study on the influence of the angle of attack on cavity evolution and surface load in the water entry of a cylinder. Ocean Eng. 219, 108271.
  38. Sun, T., Zhou, L., Yin, Z., Zong, Z., 2020b. Cavitation bubble dynamics and structural loads of high-speed water entry of a cylinder using fluid-structure interaction method. Appl. Ocean Res. 101, 102285. https://doi.org/10.1016/j.apor.2020.102285
  39. Wang, J., Faltinsen, O.M., Lugni, C., 2019. Unsteady hydrodynamic forces of solid objects vertically entering the water surface. Phys. Fluids 31 (2), 027101. https://doi.org/10.1063/1.5057744
  40. Wu, X., 2006. Numerical simulation of water entry of twin wedges. J. Fluid Struct. 22 (1), 99-108. https://doi.org/10.1016/j.jfluidstructs.2005.08.013
  41. Yan, G.X., Jiang, J., 2019. Numerical study on the cavity characteristics and impact loads of AUV water entry. Appl. Ocean Res. 89, 44-58. https://doi.org/10.1016/j.apor.2019.05.012
  42. Yun, X. Lyu, Wei, Z., 2020a. Experimental study on oblique water entry of two tandem spheres with collision effect. J. Vis. 23 (1), 49-59. https://doi.org/10.1007/s12650-019-00602-4
  43. Yun, X. Lyu, Wei, Z., 2020b. Experimental study on vertical water entry of two tandem spheres. Ocean Eng. 201, 107143. https://doi.org/10.1016/j.oceaneng.2020.107143
  44. Zhang, H., Wei, Y., Wang, C., Fan, J., 2017. "Experimental study on underwater motion of parallel projectiles," Ship, 0 Sci. Tech 43 (3), 71-75 (in Chinese).
  45. Zhang, Q., Zong, Z., Sun, T., Chen, Z., Li, H., 2020. Experimental study of the evolution of water-entry cavity bubbles behind a hydrophobic sphere. Phys. Fluids 32 (6), 062109. https://doi.org/10.1063/5.0011414
  46. Zwart, P.J., Gerber, A.G., Belamri, T., 2004. A two-phase flow model for predicting cavitation dynamics. In: The 5th International Conference on Multiphase Flow. Japan, Yokohama.