Solvability of a nonstationary problem of a rigid body motion in the flow of a viscous incompressible fluid in a pipe of arbitrary cross-section

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Solvability of a nonstationary problem of a rigid body motion in the flow of a viscous incompressible fluid in a pipe of arbitrary cross-section. / Starovoitov, V. N.; Starovoitova, B. N.

In: Journal of Applied and Industrial Mathematics, Vol. 11, No. 3, 01.07.2017, p. 453-462.

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

BibTeX

@article{61515f500f364a7d8e1b2fcd08086128,

title = "Solvability of a nonstationary problem of a rigid body motion in the flow of a viscous incompressible fluid in a pipe of arbitrary cross-section",

abstract = "The existence of a generalized weak solution is proved for the nonstationary problem of motion of a rigid body in the flow of a viscous incompressible fluid filling a cylindrical pipe of arbitrary cross-section. The fluid flow conforms to the Navier–Stokes equations and tends to the Poiseuille flow at infinity. The body moves in accordance with the laws of classical mechanics under the influence of the surrounding fluid and the gravity force directed along the cylinder. Collisions of the body with the boundary of the flow domain are not admitted and, by this reason, the problem is considered until the body approaches the boundary.",

keywords = "Navier–Stokes equations, noncompact boundary, Poiseuille flow, rigid body, straight pipe, viscous incompressible fluid",

author = "Starovoitov, {V. N.} and Starovoitova, {B. N.}",

note = "Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",

year = "2017",

month = jul,

day = "1",

doi = "10.1134/S1990478917030164",

language = "English",

volume = "11",

pages = "453--462",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - Solvability of a nonstationary problem of a rigid body motion in the flow of a viscous incompressible fluid in a pipe of arbitrary cross-section

AU - Starovoitov, V. N.

AU - Starovoitova, B. N.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - The existence of a generalized weak solution is proved for the nonstationary problem of motion of a rigid body in the flow of a viscous incompressible fluid filling a cylindrical pipe of arbitrary cross-section. The fluid flow conforms to the Navier–Stokes equations and tends to the Poiseuille flow at infinity. The body moves in accordance with the laws of classical mechanics under the influence of the surrounding fluid and the gravity force directed along the cylinder. Collisions of the body with the boundary of the flow domain are not admitted and, by this reason, the problem is considered until the body approaches the boundary.

AB - The existence of a generalized weak solution is proved for the nonstationary problem of motion of a rigid body in the flow of a viscous incompressible fluid filling a cylindrical pipe of arbitrary cross-section. The fluid flow conforms to the Navier–Stokes equations and tends to the Poiseuille flow at infinity. The body moves in accordance with the laws of classical mechanics under the influence of the surrounding fluid and the gravity force directed along the cylinder. Collisions of the body with the boundary of the flow domain are not admitted and, by this reason, the problem is considered until the body approaches the boundary.

KW - Navier–Stokes equations

KW - noncompact boundary

KW - Poiseuille flow

KW - rigid body

KW - straight pipe

KW - viscous incompressible fluid

UR - http://www.scopus.com/inward/record.url?scp=85028549585&partnerID=8YFLogxK

U2 - 10.1134/S1990478917030164

DO - 10.1134/S1990478917030164

M3 - Article

AN - SCOPUS:85028549585

VL - 11

SP - 453

EP - 462

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -

ID: 9916882