I.G.Nesteruk, V.M.Semeneko
Range optimization problems for supercavitation motion on inertia with the fixed final depth

Applied hydromechanics, Vol. 8 (80) ¹ 4, (2006) p.33-42
Maximum range problems are considered for the supercavitating motion of the axisymmetric body on inertia under an arbitrary angle to horizon. The starting velocity and the final depth are accepted as fixed. It was shown, that in this case the range and the optimal body shape are independent of angle of motion. Two groups of isoperimetric conditions were used: with the constant body mass and with the constant average body density. Simple analitic relations for the optimal body shapes and the cavitator radius were obtained for the cases of the fixed length, caliber and volume of the body. Peculiarities of the upward supercavitating motion on inertia is analysed. Obtained results are in good agreement with calculations with the computer program SCAV.
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TEXT LANGUAGE: Ukrainian