Brief communications

On minimization of cavitational resistance of hydroprofile

I. R. Kayumov^a, D. V. Maklakov<sup>b

a</sup> Chair of Differential Equations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
^b Chair of Aerohydromechanics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: In this paper, for profiles flowed according to the Helmholtz–Kirchhoff scheme with infinite cavern, we investigate values of coefficients of levitation force and of resistance related to a length of washed part of the profile. Under given value of coefficient of levitation force and additional restrictions from above and below on a distribution of a speed on a surface of a profile we find global minimum of coefficient of resistance.

Keywords: extremal problem, ideal fluid, Helmholtz–Kirchhoff scheme, cavitation flow.

UDC: 532.5

Received: 01.04.2015

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:11, 68–73

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