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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2025 Volume 12, Issue 1, Pages 177–185 (Mi vspua348)

MECHANICS

Damping of rotational and translational movements of a rectangular prism

A. N. Riabinin

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: The curved body hypothesis is used to analyze the development of rotational velocity perturbations of rectangular prisms blown by an air flow at low Reynolds numbers. Undisturbed motion is a rectilinear motion in a direction perpendicular to the prism's generatrix. The development of perturbations of the transverse velocity of prisms is investigated using the quasi-stationary hypothesis. The Navier-Stokes equations are solved by the finite volume method using the freely distributed SU 2 software package. The behavior of prisms differing in the aspect ratio of a transverse rectangular section is studied. It is found that rotational velocity perturbations develop if the aspect ratio is less than 10. Perturbations of the translational transverse velocity develop if the aspect ratio is less than 3.

Keywords: curved body hypothesis, quasi-stationary hypothesis, perturbations, rotational velocity, translational velocity, rectangular prism.

UDC: 533:534.13

MSC: 76D99

Received: 16.02.2024
Revised: 22.05.2024
Accepted: 29.08.2024

DOI: 10.21638/spbu01.2025.113



© Steklov Math. Inst. of RAS, 2026