Perturbation solution to 3-D nonlinear supercavitating flow problems. (English) Zbl 0776.76014
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 on 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.
MSC:
| 76B10 | Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing |
Keywords:
elliptic integrals; axisymmetric body; small angle of attack; Fourier- cosine-expansion; boundary integral equation method; iterative techniques; conesReferences:
| [1] | Brennen C. A numerical solution of axisymmetric cavity flow.J Fluid Mech, 1969, 37: 671–688. · Zbl 0181.54205 · doi:10.1017/S0022112069000802 |
| [2] | Chou Y S. Axisymmetric cavity flows past slender bodies of revolution.J Hydronautics, 1974, 8(1): 13–18. · doi:10.2514/3.62971 |
| [3] | 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. · doi:10.2514/3.48187 |
| [4] | Wolfe W P, Hailey C E, Oberkampf W L. Drag of bodies of revolution in supercavitating flow.J Fluids Eng, 1989, 111: 300–305. · doi:10.1115/1.3243644 |
| [5] | Struck H G. Discontinuous flows and free streamline solutions for axisymmetric bodies at zero and small angle of attack. NASA-TN-D-5634, 1970. |
| [6] | 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. · doi:10.2514/3.48188 |
| [7] | Hess J L, Smith A M O. Calculation of potential flow about arbitrary bodies.Progress in Aeron Sci, 1967, 8: 1–138. · Zbl 0204.25602 · doi:10.1016/0376-0421(67)90003-6 |
| [8] | 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. · Zbl 0749.76005 · doi:10.1007/BF02020395 |
| [9] | Cody W J. Chebyshev approximations for the complete elliptic integrals K and E.Math Compu J, 1965, 19(89). · Zbl 0137.33502 |
| [10] | May A. Water entry and the cavity-running behavior of missiles. AD-A020429, 1975. |
| [11] | 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) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
