Super cavity model with the coupling reaction of slender body motion and water flow
Keywords:cavity model, Runge-Kutta method, CFD model, coupling model
On the imperfect water entry, a high-speed slender body moving in the forward direction, rotates inside the cavity. The body's motion makes super cavity phenomena in the water flow. The water velocity and pressure fields interact during the body's motion. In this paper, the coupling simulation model is a combination of two sub-models: In the first sub-model, the motion of slender body running very fast underwater is simulated. The equation system of this sub-model is solved by Runge-Kutta method; In the second sub-model, the water flow and pressure field under reaction of very fast slender body motion are simulated by CFD model. The simulation results of this coupled model are compared with experiments based on magnitudes of velocity U by x0 direction and error percents for cavity diameter and length.
S. S. Kulkarni and R. Pratap. Studies on the dynamics of a supercavitating projectile. Applied Mathematical Modelling, 24, (2), (2000), pp. 113–129. doi:10.1016/s0307-904x(99)00028-1.
B. Milwitzky. Generalized theory for seaplane impact. Technical report, NACA-TR-1103, (1952).
N. A. Son, T. T. Ha, and D. N. Hai. A super cavity model of slender body moving fast in water. In Proceedings of National Conference of Mechanics, (2014), pp. 415–420.
R. Rand, R. Pratap, D. Ramani, J. Cipolla, and I. Kirschner. Impact dynamics of a supercavitating underwater projectile. In Proceedings of ASME Design Engineering Technical Conferences (DETC97), Sacramento, California, (1997). pp. 14–17, http://audiophile.tam.cornell.edu/randpdf/ahsum.pdf.
J.-P. Franc and J.-M. Michel. Fundamentals of cavitation. Kluwer Academic Publisher, (2004).
A. May.Water entry and the cavity-running behavior of missiles. Technical report, Navy sea Hydro ballistics Advisory Committee Silver Spring Md, (1975).
I. Senocak andW. Shyy. Evaluations of cavitation models for Navier–Stokes computations. In Proceedings of the 2002 ASME Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, (2002), pp. 395–401. doi:10.1115/fedsm2002-31011.
A. K. Singhal. Multi-dimensional simulation of cavitating flows using a PDF model of phase change. In Proceedings ASME FED Meeting, Vancouver, Canada, (1997). pp. 82–97.
G. Wang, I. Senocak, W. Shyy, T. Ikohagi, and S. Cao. Dynamics of attached turbulent cavitating flows. Progress in Aerospace Sciences, 37, (6), (2001), pp. 551–581.
H.-L. Liu, J.Wang, Y.Wang, H. Zhang, and H. Huang. Influence of the empirical coefficients of cavitation model on predicting cavitating flow in the centrifugal pump. International Journal of Naval Architecture and Ocean Engineering, 6, (1), (2014), pp. 119–131. doi:10.2478/ijnaoe-2013-0167.
W. P. Jones and B. E. Launder. The prediction of laminarization with a two-equation model of turbulence. International Journal of Heat and Mass Transfer, 15, (2), (1972), pp. 301–314. doi:10.1016/0017-9310(72)90076-2.
J. W. Lindau, R. F. Kunz, D. A. Boger, D. R. Stinebring, and H. J. Gibeling. High Reynolds number, unsteady, multiphase CFD modeling of cavitating flows. Journal of Fluids Engineering, 124, (3), (2002), pp. 607–616. doi:10.1115/1.1487360.
M. Morgut and E. Nobile. Numerical predictions of cavitating flow around model scale propellers by CFD and advanced model calibration. International Journal of Rotating Machinery, 2012, (2012). doi:10.1155/2012/618180.
P. J. Zwart, A. G. Gerber, and T. Belamri. A two-phase flow model for predicting cavitation dynamics. In Fifth International Conference on Multiphase Flow, Yokohama, Japan, (2004), pp. 74–83.
E.-A. Reinecke, S. Kelm, W. Jahn, C. J¨akel, and H.-J. Allelein. Simulation of the efficiency of hydrogen recombiners as safety devices. International Journal of Hydrogen Energy, 38, (19), (2013), pp. 8117–8124. doi:10.1016/j.ijhydene.2012.09.093.
D. N. Hai, N. T. Thang, and T. T. Phuong. Experimental measurement of supercavity around body moving into water. In Proceedings of the 4th National Conference on Measurement Science and Techniques, Hanoi, Vietnam, (2015). pp. 740–747. (in Vietnamese).
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