A. Ya. Kornilov, V. N. Orlov, “On one analytical solution to the problem of flow around a tandem from two profiles by a flow of ideal incompressible fluid”, Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2024, Issue 1(59),Pages <nobr>76

On one analytical solution to the problem of flow around a tandem from two profiles by a flow of ideal incompressible fluid

A. Ya. Kornilov^a, V. N. Orlov^b

^a Moscow State University of Technologies and Managements
^b Moscow State University of Civil Engineering

Abstract: The work considers the continuous flow around a system of two permeable thin profiles by a steady potential flow of an ideal weightless incompressible fluid. A conformal mapping of the physical domain onto a canonical rectangle is obtained. To solve the problem under consideration, the apparatus of elliptic functions is used. A variant of the analytical solution is presented

Keywords: ideal fluid, Jacobi theta functions, conformal mapping function, plane hydrodynamics problem, tandem of thin profiles, lifting force.

UDC: 539.374

Received: 20.02.2024
Revised: 05.07.2024
Accepted: 01.04.2024

DOI: 10.37972/chgpu.2024.59.1.004