A Comparative Assessment of Various Cavitator Shapes for High-speed Supercavitating Torpedoes: Geometry, Flow-physics and Drag Considerations

Document Type : Regular Article

Authors

Department of Aerospace Engineering, Mechanical Cluster, School of Advanced Engineering, UPES, Dehradun, Uttarakhand, 248007, India

Abstract

Modern underwater warfare necessitates the development of high-speed supercavitating torpedoes. Achieving supercavitation involves integrating a cavitator at the torpedo's front, making cavitator design a critical research area. The present study simulated supercavity formation by cavitators of various shapes attached to a heavyweight torpedo. The study involves simulations of thirteen cavitator designs with various geometrical configurations at different cavitation numbers. The simulations employ the VOF multiphase model along with the Schnerr and Sauer cavitation model to analyze supercavitation hydrodynamics. The study examines the supercavity geometry and drag characteristics for individual cavitator designs. The results reveal a significant reduction in skin friction drag by a majority of cavitators. Notably, a disc cavitator at a cavitation number of 0.09 demonstrates a remarkable 92% reduction in the coefficient of skin friction drag. However, the overall drag reduces when incorporating a cavitator, but it introduces additional pressure drag. The study found that the cavitators generating larger supercavities also yield higher pressure drag. Therefore, the supercavity should just envelop the entire torpedo, as excessively small supercavities amplify skin friction drag, while overly large ones elevate pressure drag. Ultimately, the study concludes that selecting the ideal cavitator entails a comprehensive evaluation of factors such as supercavity and torpedo geometry, reductions in skin friction drag and increments in pressure drag.

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Ahn, B. K., Jeong, S. W., Kim, J. H., Shao, S., Hong, J., & Arndt, R. E. A. (2017). An experimental investigation of artificial supercavitation generated by air injection behind disk-shaped cavitators. International Journal of Naval Architecture and Ocean Engineering, 9(2), 227–237. https://doi.org/10.1016/j.ijnaoe.2016.10.006
Ahn, B. K., Lee, C. S., & Kim, H. T. (2010). Experimental and numerical studies on super-cavitating flow of axisymmetric cavitators. International Journal of Naval Architecture and Ocean Engineering, 2(1), 39–44. https://doi.org/10.2478/IJNAOE-2013-0018
Cao, L., Karn, A., Arndt, R. E., Wang, Z., & Hong, J. (2017). Numerical investigations of pressure distribution inside a ventilated supercavity. Journal of Fluids Engineering, 139(2), 021301. https://doi.org/10.1115/1.4035027
Chen, G., Sun, T., Yang, S., Miao, Z., & Tan, H. (2023). A study on the cavitating flow around an elliptical disk-shaped cavitator for non-body-of-revolution underwater vehicles. Engineering Applications of Computational Fluid Mechanics, 17(1). Scopus. https://doi.org/10.1080/19942060.2022.2159882
Choi, J. H., Penmetsa, R. C., & Grandhi, R. V. (2005). Shape optimization of the cavitator for a supercavitating torpedo. Structural and Multidisciplinary Optimization, 29(2), 159–167. https://doi.org/10.1007/s00158-004-0466-0
Erfanian, M. R., & Anbarsooz, M. (2018). Numerical investigation of body and hole effects on the cavitating flow behind a disk cavitator at extremely low cavitation numbers. Applied Mathematical Modelling, 62, 163–180. https://doi.org/10.1016/j.apm.2018.05.026
Gaurav, K., Mittal, G., & Karn, A. (2022). On the morphology of elongated bubbles during their formation at submerged orifices. Chemical Engineering Science, 250, 117395. https://doi.org/10.1016/j.ces.2021.117395
Javadpour, S. M., Farahat, S., Ajam, H., Salari, M., & Hossein Nezhad, A. (2017). Experimental and numerical study of ventilated supercavitation around a cone cavitator. Heat and Mass Transfer, 53, 1491–1502. https://doi.org/10.1007/s00231-016-1893-3
Karn, A., & Rosiejka, B. (2017). Air entrainment characteristics of artificial supercavities for free and constrained closure models. Experimental Thermal and Fluid Science, 81, 364–369. https://doi.org/10.1016/j.expthermflusci.2016.10.003
Karn, A., Arndt, R. E. A., & Hong, J. (2015a). Dependence of supercavity closure upon flow unsteadiness. Experimental Thermal and Fluid Science, 68, 493–498. https://doi.org/10.1016/j.expthermflusci.2015.06.011
Karn, A., Arndt, R. E. A., & Hong, J. (2016a). An experimental investigation into supercavity closure mechanisms. Journal of Fluid Mechanics, 789, 259–284. https://doi.org/10.1017/jfm.2015.680
Karn, A., Arndt, R. E. A., & Hong, J. (2016b). Gas entrainment behaviors in the formation and collapse of a ventilated supercavity. Experimental Thermal and Fluid Science, 79, 294–300. https://doi.org/10.1016/j.expthermflusci.2016.08.003
Karn, A., Ellis, C., Hong, J., & Arndt, R. E. A. (2015b). Investigations into the turbulent bubbly wake of a ventilated hydrofoil: Moving toward improved turbine aeration techniques. Experimental Thermal and Fluid Science, 64, 186–195. https://doi.org/10.1016/j.expthermflusci.2014.12.011
Kosel, J., Šuštaršič, M., Petkovšek, M., Zupanc, M., Sežun, M., & Dular, M. (2020). Application of (super) cavitation for the recycling of process waters in paper producing industry. Ultrasonics Sonochemistry, 64, 105002. https://doi.org/10.1016/j.ultsonch.2020.105002
Likhachev, D. S., Li, F., & Kulagin, V. A. (2014). Experimental study on the performance of a rotational supercavitating evaporator for desalination. Science China Technological Sciences, 57(11), 2115–2130. https://doi.org/10.1007/s11431-014-5631-0
Moghimi, M., Nouri, N. M., & Molavi, E. (2017). Experimental investigation on supercavitating flow over parabolic cavitators. Journal of Applied Fluid Mechanics, 10(1), 95–102. https://doi.org/10.18869/acadpub.jafm.73.238.26678
Mokhtarzadeh, H., Balas, G., & Arndt, R. (2012). Effect of cavitator on supercavitating vehicle dynamics. IEEE Journal of Oceanic Engineering, 37(2), 156–165. https://doi.org/10.1109/JOE.2011.2177689
Myring, D. F. (1976). theoretical study of body drag in subcritical axisymmetric flow. Aeronautical Quarterly, 27(3), 186–194. Scopus. https://doi.org/10.1017/S000192590000768X
Nesteruk, I. (2012). Supercavitation: Advances and Perspectives A collection dedicated to the 70th jubilee of Yu.N. Savchenko. Springer Science & Business Media. https://www.google.co.in/books/edition/Supercavitation/8n2VdOG9Ll0C?hl=en
Newman, J. N. (2018). Marine Hydrodynamics. The MIT Press. https://library.oapen.org/handle/20.500.12657/26039
Oba, R., Ikohagi, T., & Yasu, S. (1980). Supercavitating cavity observations by means of laser velocimeter. Journal of Fluids Engineering, 102(4), 433–438. https://doi.org/10.1115/1.3240716
Park, S., & Rhee, S. H. (2012). Computational analysis of turbulent super-cavitating flow around a two-dimensional wedge-shaped cavitator geometry. Computers & Fluids, 70, 73–85. https://doi.org/10.1016/j.compfluid.2012.09.012
Rajkumar, R., Gaurav, K., Karn, A., Kumar, V., & Shukla, H. (2023). Numerical investigation of the effect of liquid temperature on supercavitation. In S. Narendranth, P. G. Mukunda & U. K. Saha (Eds.), Recent Advances in Mechanical Engineering (pp. 19–27). Springer Nature. https://doi.org/10.1007/978-981-19-1388-4_2
Sarc, A., Kosel, J., Stopar, D., Oder, M., & Dular, M. (2018). Removal of bacteria legionella pneumophila, escherichia coli, and bacillus subtilis by (super) cavitation. Ultrasonics Sonochemistry, 42, 228–236. https://doi.org/10.1016/j.ultsonch.2017.11.004
Savchenko, Y. (2001). Supercavitation-problems and perspectives. https://resolver.caltech.edu/CAV2001:lecture.003
Schmid, A. (2009). A new aeration technology using “Supercavitation.” Recent Patents on Chemical Engineering, 2(3), 176–180. https://shorturl.at/NtCXl
Schnerr, G. H., & Sauer, J. (2001). Physical and numerical modeling of unsteady cavitation dynamics. Fourth International Conference on Multiphase Flow, 1. https://www.researchgate.net/publication/296196752_Physical_and_Numerical_Modeling_of_Unsteady_Cavitation_Dynamics
Semenenko, V. N. (2001). Artificial supercavitation. Physics and calculation. https://apps.dtic.mil/sti/tr/pdf/ADP012080.pdf
Shao, S., Balakrishna, A., Yoon, K., Li, J., Liu, Y., & Hong, J. (2020). Effect of mounting strut and cavitator shape on the ventilation demand for ventilated supercavitation. Experimental Thermal and Fluid Science, 118. Scopus. https://doi.org/10.1016/j.expthermflusci.2020.110173
Shao, S., Karn, A., Ahn, B.-K., Arndt, R. E. A., & Hong, J. (2017). A comparative study of natural and ventilated supercavitation across two closed-wall water tunnel facilities. Experimental Thermal and Fluid Science, 88, 519–529. https://doi.org/10.1016/j.expthermflusci.2017.07.005
Shi, H. H., Itoh, M., & Takami, T. (2000). Optical observation of the supercavitation induced by high-speed water entry. Journal of Fluids Engineering, 122(4), 806–810. https://doi.org/10.1115/1.1310575
Waid, R. L. (1957). Cavity shapes for circular disks at angles of attack. https://core.ac.uk/download/pdf/216213457.pdf
Xu, C., & Khoo, B. C. (2020). Dynamics of the supercavitating hydrofoil with cavitator in steady flow field. Physics of Fluids, 32(12), 123307. https://doi.org/10.1063/5.0030907
Zhang, X., Wei, Y., Zhang, J., Cong, W., & Yu, K. (2007). Experimental research on the shape characters of natural and ventilated supercavitation. Journal of Hydrodynamics, Ser. B, 19(5), 564–571. https://doi.org/10.1016/S1001-6058(07)60154-1