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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2021 Number 2, Pages 93–99 (Mi ivm9652)

Brief communications

Finding the shape of the profile of aero-hydrodynamical lattice by given chord diagram of velocity distrubution

R. B. Salimov

Kazan State Architecture and Building University, 1 Zelenaya str., Kazan, 420043 Russia

Abstract: The inverse edge problem of lattice aero-hydrodynamics is considered, in which it is necessary to find the shape of the lattice profile streamlined by the potential flow of incompressible non-viscous liquid, when the distribution of the velocity value on it is set as a function of the abscissa of the profile point (chord diagram), the lattice period (modulo) and the ratio of complex liquid flow rates before and after the lattice are known.

Keywords: inverse boundary value problem of aerohydrodynamics,grill, profile, complex potential.

UDC: 533.692

Received: 25.10.2020
Revised: 25.10.2020
Accepted: 24.12.2020

DOI: 10.26907/0021-3446-2021-2-93-99


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, 65:2, 81–86

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© Steklov Math. Inst. of RAS, 2025