Application in Aerohydrodynamics of the Solution of an Inverse Boundary Value Problem for Analytic Functions
- Autores: Salimov R.1
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Afiliações:
- Kazan State Architecture and Building University
- Edição: Volume 12, Nº 1 (2018)
- Páginas: 136-144
- Seção: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213010
- DOI: https://doi.org/10.1134/S199047891801012X
- ID: 213010
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Resumo
We consider a modified inverse boundary value problem of aerohydrodynamics in which it is required to find the shape of an airfoil streamlined by a potential flow of an incompressible nonviscous fluid, when the distribution of the velocity potential on one section of the airfoil is given as a function of the abscissa, while, on other sections of the airfoil, as a function of the ordinate of the point. The velocity of the undisturbed flow streamlining the sought-for airfoil is determined in the process of solving the problem. It is shown that, under rather general conditions on the initially set functions, the sought-for contour is closed unlike the inverse problem in the case when, on the unknown contour, the velocity distribution is given as a function of the arc abscissa of the contour point. We also consider the case when, on the entire desired contour, the distribution of the velocity potential is given as a function of one and the same Cartesian coordinate of the contour point.
Sobre autores
R. Salimov
Kazan State Architecture and Building University
Autor responsável pela correspondência
Email: salimov.rsb@gmail.com
Rússia, ul. Zelenaya 1, Kazan, 420043