Z.I.Manova, I.G.Nesteruk, B.D.Shepetyuk Optimization problems for high-speed supercavitation motion on inertia with the non-slender cavitators |
Applied hydromechanics, Vol. 11 (83) ¹ 4, (2009) |
| Maximum range problems are considered for the supercavitating motion of the axisymmetric body on inertia under an arbitrary angle to horizon in the case of very high velocities and non-slender cavitators. Different isoperimetric problems were formulated and solved with the fixed values of body mass, kinetic energy, aspect ratio and caliber. Two dimensionless parameters are proposed which influence the solution. At small values of these parameters the optimal body shapes may use the nose part of the cavity only. Analytic and numeric solutions for the maximal range and the optimal body shapes are obtained. It was shown that infinite small exceeding of some critical value of the initial depth can cause a jump of the range and coming to the water surface. The corresponding values of the critical initial depth are calculated. |
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| TEXT LANGUAGE: Ukrainian |