- Volume 52 Issue 4
In this paper, a numerical analysis is carried out to study the drag of conical cavitators, supercavity generation devices for the high-speed underwater vehicle. The realizable k-∊ turbulence model and the Schnerr-Sauer cavitation model are applied to calculate steady-state supercavitating flows around cones of various cone angles. The calculated drags of the cones are decomposed of the pressure and the friction parts and their dependency on the geometry and the flow conditions have been analyzed. It is confirmed that the pressure drag coefficients of the cones can be estimated by a simple function of both the cone angle and the cavitation number while the friction drag coefficients approximately by well-known empirical formulas, e.g., Schults-Grunow's for the drag of the flat plate. Finally a practical method for estimating the total drags of supercavitating cones is suggested, which can be useful consequently for the design of conical cavitaors.
Supercavitating flows;Conical cavitators;Drag
- Lee, H.B., Kim, H.T. & Choi, J.K., 2013. Numerical analysis of supercavitating flows of two-dimensional simple bodies. Journal of the Society of Naval Architecture of Korea, 50(6), pp.436-449. https://doi.org/10.3744/SNAK.2013.50.6.436
- Logvinovich, G.V., 1973. Hydrodynamics of Flows with free Boundaries. Halsted Press: Sydney, Australia.
- Park. S.H., 2013. Development of practical method for prediction of cavitation erosion with turbulent flow using computational fluid dynamics. Ph.D. Seoul: Dept. of Naval Architecture and Ocean Engineering, Seoul National University.
- Petitpas, F. Saurel, R. Ahn, B.K. & Ko, S.H., 2011. Modeling cavitating flow around underwater missiles. International Journal of Naval Architecture and Ocean Engineering, 3(4), pp.263-273. https://doi.org/10.3744/JNAOE.2011.3.4.263
- Reichardt, H., 1946. The laws of cavitation bubbles at axially symmetric bodies in a flow. Ministry of Aircraft Production Volkenrode, MAP-VG, Reports and Translations 766, USA: Office of Naval Research.
- Savchenko, Y.N., 2002. Experimental investigation of supercavitating motion of bodies. RTO AVT Lecture Series on “Supercavitating Flows”, VKI in Brussels, Belgium, 12-16 February 2001.
- Self, M.W. & Ripken, H.F., 1955. Steady–state cavity studies in a free-jet water tunnel. St. Anthony Falls Hydraulic Laboratory, University of Minnesota, Report No. 47, Minnesota, USA: University of Minnesota.
- Semenenko, V.N., 2001. Artificial supercavitation, Physics and calculation. RTO AVT Lecture Series on “Supercavitating Flows”, VKI in Brussels, Belgium, 12-16 February 2001.
- Epshtein, L.A., 1971. Characteristics of ventilated cavities and some scale effects. Proc. of IUTAM Symposium on Rapid Non-Steady Liquid Flows, Leningrad, 22-26 June 1971, pp.173-185.
- Franc, J.P. & Michel, J.M., 2004. Fundamentals of cavitation. Kluwer Academic Publishers: Dordrecht.
- Hoerner, S.F., 1965. Fluid-Dynamic Drag. Hoerner Fluid Dynamics: CA, USA.
- Kim, H.T. & Lee, H.B., 2014. A numerical analysis of gravity and free surface effects on a two-dimensional supercavitating flow. Journal of the Society of Naval Architecture of Korea, 51(5), pp.435-449. https://doi.org/10.3744/SNAK.2014.51.5.435
- Kim, J.H. Jang, H.G. Ahn, B.K. & Lee, C.S., 2013. A numerical analysis of the supercavitating flow around three-dimensional axisymmetric cavitators. Journal of the Society of Naval Architects of Korea, 50(3), pp.160-166. https://doi.org/10.3744/SNAK.2013.50.3.160
- Kim, Y.G. & Nah, Y.I., 2011. Propulsion technologies of supercavitating rocket torpedo. Proc. of the Korean Society of Propulsion Engineers, Fall Conference, Busan, Republic of Korea, 24-25 November 2011, pp.383-387.
- Kirschner, I.N. Uhlman, J.S. Varghese, A.N. & Kuria, I.M., 1995. Supercavitating projectiles in axisymmetric subsonic liquid flows. American Society of Mechanical Engineers, Fluids Engineering Division, 210, pp.75-93.
- Knapp, R.T. Daily, J.W. & Hammit, F.G., 1970. Cavitation. Iowa Institute of Hydraulic Research, University of Iowa: Iowa, USA
- Kunz, R.F. Lindau, J.W. Billet, M.L. & Stinebring D.R., 2001. Multiphase CFD modeling of developed and supercavitating flows. RTO AVT Lecture Series on “Supercavitating Flows”, VKI in Brussels, Belgium, 12-16 February 2001.
- ANSYS 13.0, 2010. User’s Guide. 2010 SAS IP Inc.: USA.
- Ahn, B.K. Lee, T.K. Kim, H.T. & Lee, C.S., 2012. Experimental investigation of supercavitating flows. International Journal of Naval Architecture and Ocean Engineering, 4(2), pp.123-131. https://doi.org/10.3744/JNAOE.2012.4.2.123
- Alyanak, E. Venkayya, V. Grandhi, R. & Penmetsa, R., 2004. Variable shape cavitator design for a super-cavitating torpedo. Proceedings of 10th AIAA/ISSNMO Multidisciplinary Analysis and Optimization Conference, Albany, NY, USA, 30 August – 1 September 2004.
- Brennen, B.A., 1969. A numerical solution of axisymmetric cavity flows. Journal of Fluid Mechanics, 37(4), pp.671-688. https://doi.org/10.1017/S0022112069000802
- Choi, J.K. & Kim, H.T., 2010. A study of using wall functon for numerical analysis of high Reynolds number turbulent flow. Journal of the Society of Naval Architects of Korea, 47(5), pp.647-655. https://doi.org/10.3744/SNAK.2010.47.5.647
- Eisenberg, P. & Pond, H.L., 1948. Water tunnel investigations of steady state cavities. The David W. Taylor Model Basin, United States Navy, Report No. 668. USA: United States Navy.
- An Estimation of the Size of Supercavities for Conical Cavitators vol.53, pp.2, 2016, https://doi.org/10.3744/SNAK.2016.53.2.92