Damping of rotational and translational Motions of rectangular Prism.

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Damping of rotational and translational Motions of rectangular Prism. / Рябинин, Анатолий Николаевич.

In: Vestnik St. Petersburg University: Mathematics, Vol. 58, No. 1, 21.05.2025, p. 140-146.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{518f6459c5274d65a1dea2a9ca1aa697,

title = "Damping of rotational and translational Motions of rectangular Prism.",

abstract = "Abstract: The development of perturbations of rotational velocity of rectangular prisms in air flow at low Reynolds numbers is analyzed using the curved body hypothesis. Undisturbed motion is rectilinear motion in a direction perpendicular to the prism{\textquoteright}s generatrix. The development of perturbations of transverse velocity of prisms is studied using the quasi-stationarity hypothesis. The Navier–Stokes equations are solved by the finite volume method using the freely distributed SU 2 software package. The behavior of prisms with different aspect ratios of their transverse rectangular cross-sections is investigated. It is found that rotational velocity perturbations develop if the aspect ratio is less than 10. Translational transverse velocity perturbations develop if the aspect ratio is less than 3.",

keywords = "curved body hypothesis, perturbations, quasi-stationarity hypothesis, rectangular prism, rotational velocity, translational velocity",

author = "Рябинин, {Анатолий Николаевич}",

year = "2025",

month = may,

day = "21",

doi = "10.1134/s1063454125700141",

language = "English",

volume = "58",

pages = "140--146",

journal = "Vestnik St. Petersburg University: Mathematics",

issn = "1063-4541",

publisher = "Pleiades Publishing",

number = "1",

}

RIS

TY - JOUR

T1 - Damping of rotational and translational Motions of rectangular Prism.

AU - Рябинин, Анатолий Николаевич

PY - 2025/5/21

Y1 - 2025/5/21

N2 - Abstract: The development of perturbations of rotational velocity of rectangular prisms in air flow at low Reynolds numbers is analyzed using the curved body hypothesis. Undisturbed motion is rectilinear motion in a direction perpendicular to the prism’s generatrix. The development of perturbations of transverse velocity of prisms is studied using the quasi-stationarity hypothesis. The Navier–Stokes equations are solved by the finite volume method using the freely distributed SU 2 software package. The behavior of prisms with different aspect ratios of their transverse rectangular cross-sections is investigated. It is found that rotational velocity perturbations develop if the aspect ratio is less than 10. Translational transverse velocity perturbations develop if the aspect ratio is less than 3.

AB - Abstract: The development of perturbations of rotational velocity of rectangular prisms in air flow at low Reynolds numbers is analyzed using the curved body hypothesis. Undisturbed motion is rectilinear motion in a direction perpendicular to the prism’s generatrix. The development of perturbations of transverse velocity of prisms is studied using the quasi-stationarity hypothesis. The Navier–Stokes equations are solved by the finite volume method using the freely distributed SU 2 software package. The behavior of prisms with different aspect ratios of their transverse rectangular cross-sections is investigated. It is found that rotational velocity perturbations develop if the aspect ratio is less than 10. Translational transverse velocity perturbations develop if the aspect ratio is less than 3.

KW - curved body hypothesis

KW - perturbations

KW - quasi-stationarity hypothesis

KW - rectangular prism

KW - rotational velocity

KW - translational velocity

UR - https://www.mendeley.com/catalogue/2a8bc24d-fbf0-3fb2-87ef-a8a8fb65dd9f/

U2 - 10.1134/s1063454125700141

DO - 10.1134/s1063454125700141

M3 - Article

VL - 58

SP - 140

EP - 146

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 135903955