This article is cited in 1 paper

Brief communications

One nonlinear variational problem of the theory of cavitating profiles

D. V. Maklakov^a, I. R. Kayumov<sup>b

a</sup> Chair of Aerohydrodynamics, Kazan (Volga Region) Federal University, Kazan, Russia
^b N. I. Lobachevskii Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: In this paper we consider profiles with infinite cavity streamlined in accordance with the Helmholtz–Kirchhoff scheme. We study limit values of coefficients of the rising force and the resistance with respect to the length of the streamlined part of the profile. Namely, for a given value of the coefficient of the rising force we calculate the minimal and maximal values of the resistance coefficient and thus determine the maximal and minimal values of the hydrodynamic quality.

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

UDC: 517.958+532.5

Received: 18.06.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:12, 76–81

Bibliographic databases:

• 
•