Abstract
A 3-D nonlinear problem of supercavitating flow past an axisymmetric body at a small angle of attack is investigated by means of the perturbation method and Fourier-cosine-expansion method. The first three order perturbation equations are derived in detail and solved numerically using the boundary integral equation method and iterative techniques. Computational results of the hydrodynamic characteristics and cavity shapes of each order are presented for nonaxisymmetric supercavitating flow past cones with various apex-angles at different cavitation numbers. The numerical results are found in good agreement with experimental data.
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References
Brennen C. A numerical solution of axisymmetric cavity flow.J Fluid Mech, 1969, 37: 671–688.
Chou Y S. Axisymmetric cavity flows past slender bodies of revolution.J Hydronautics, 1974, 8(1): 13–18.
Rattayya J V, Brosseau J A, Chisholm M A. Potential flow about bodies of revolution with mixed boundary conditions—axial flow.J Hydronautics, 1981, 15 (1–4): 74–80.
Wolfe W P, Hailey C E, Oberkampf W L. Drag of bodies of revolution in supercavitating flow.J Fluids Eng, 1989, 111: 300–305.
Struck H G. Discontinuous flows and free streamline solutions for axisymmetric bodies at zero and small angle of attack. NASA-TN-D-5634, 1970.
Rattayya J V, Brosseau J A, Chisholm M A. Rotential flow about bodies of revolution with mixed boundary conditions—cross flow.J Hydronautics, 1981, 15 (1–4): 81–89.
Hess J L, Smith A M O. Calculation of potential flow about arbitrary bodies.Progress in Aeron Sci, 1967, 8: 1–138.
Ye Q Y, He Y S. Perturbation solution to the nonlinear problem of oblique water exit of an axisymmetric body with a large exit-angle.Appl Math & Mech, 1991, 12(4): 327–338.
Cody W J. Chebyshev approximations for the complete elliptic integrals K and E.Math Compu J, 1965, 19(89).
May A. Water entry and the cavity-running behavior of missiles. AD-A020429, 1975.
Liu H. An experimental study on hydrodynamic forces and moment on cavitating axisymmetric bodies at small angles of attack. Ph. D. Thesis, Shanghai Jiao Tong University, 1990. (in Chinese)
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The project supported by the National Natural Science Foundation of China
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Quyuan, Y., Yousheng, H. & Shiquan, Z. Perturbation solution to 3-D nonlinear supercavitating flow problems. Acta Mech Sinica 9, 13–21 (1993). https://doi.org/10.1007/BF02489157
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DOI: https://doi.org/10.1007/BF02489157