On a general method for solving boundary value problems of aerohydrodynamics

R. B. Salimov, T. Yu. Gorskaya<sup>a

a</sup> Kazan State University of Architecture and Civil Engineering, ul. Zelenaya 1, Kazan 420043, Russia

Abstract: The well-known boundary-value problem of aerohydrodynamics is considered, in which it is required to find the distribution of the velocity of fluid particles on a wing profile that is streamlined by a potential flow of an incompressible inviscid liquid when the shape of the wing profile and the velocity of the unperturbed flow are specified. A new approach to solving the problem is proposed, similar to that used in the study of the inverse boundary value problem of aerohydrodynamics, when the shape of the wing profile is determined by the velocity distribution specified on it. The possibility of applying a new approach to solving the inverse mixed problem of aerohydrodynamics is noted, when part of the wing profile is specified, the rest is searched for by the velocity distribution set on it.

Keywords: boundary value problem of aerohydrodynamics, wing profile, integrated potential. .

UDC: 533.692

Received: 28.07.2020
Revised: 18.03.2021
Accepted: 24.06.2021

DOI: 10.33048/SIBJIM.2021.24.306

 English version: Journal of Applied and Industrial Mathematics, 2021, 15:3, 483–489