Steady flow produced by the vibration of a sphere in an infinite viscous incompressible fluid

Muhammad Adil Sadiq

doi:10.1143/JPSJ.80.094403

Steady flow produced by the vibration of a sphere in an infinite viscous incompressible fluid

Muhammad Adil Sadiq^*

^*Corresponding author for this work

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

4 Scopus citations

Abstract

In this paper steady streaming due to a vibrating sphere in an incompressible fluid is considered. The Vishik-Lyusternik method is employed to construct an asymptotic expansion of the solution of the Navier-Stokes equations in the limit of high-frequency vibrations for Reynolds numbers of O(1). The effect of the Stokes drift of fluid particles is also considered.

Original language	English
Article number	094403
Journal	Journal of the Physical Society of Japan
Volume	80
Issue number	9
DOIs	https://doi.org/10.1143/JPSJ.80.094403
State	Published - Sep 2011
Externally published	Yes

Keywords

Boundary layers
Steady flow
Vibrating sphere
Vishik-Lyusternik method

ASJC Scopus subject areas

General Physics and Astronomy

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10.1143/JPSJ.80.094403

Cite this

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title = "Steady flow produced by the vibration of a sphere in an infinite viscous incompressible fluid",

abstract = "In this paper steady streaming due to a vibrating sphere in an incompressible fluid is considered. The Vishik-Lyusternik method is employed to construct an asymptotic expansion of the solution of the Navier-Stokes equations in the limit of high-frequency vibrations for Reynolds numbers of O(1). The effect of the Stokes drift of fluid particles is also considered.",

keywords = "Boundary layers, Steady flow, Vibrating sphere, Vishik-Lyusternik method",

author = "Sadiq, \{Muhammad Adil\}",

year = "2011",

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doi = "10.1143/JPSJ.80.094403",

language = "English",

volume = "80",

journal = "Journal of the Physical Society of Japan",

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AU - Sadiq, Muhammad Adil

PY - 2011/9

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N2 - In this paper steady streaming due to a vibrating sphere in an incompressible fluid is considered. The Vishik-Lyusternik method is employed to construct an asymptotic expansion of the solution of the Navier-Stokes equations in the limit of high-frequency vibrations for Reynolds numbers of O(1). The effect of the Stokes drift of fluid particles is also considered.

AB - In this paper steady streaming due to a vibrating sphere in an incompressible fluid is considered. The Vishik-Lyusternik method is employed to construct an asymptotic expansion of the solution of the Navier-Stokes equations in the limit of high-frequency vibrations for Reynolds numbers of O(1). The effect of the Stokes drift of fluid particles is also considered.

KW - Boundary layers

KW - Steady flow

KW - Vibrating sphere

KW - Vishik-Lyusternik method

UR - https://www.scopus.com/pages/publications/80052396788

U2 - 10.1143/JPSJ.80.094403

DO - 10.1143/JPSJ.80.094403

M3 - Article

AN - SCOPUS:80052396788

SN - 0031-9015

VL - 80

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 9

M1 - 094403

ER -

Steady flow produced by the vibration of a sphere in an infinite viscous incompressible fluid

Abstract

Keywords

ASJC Scopus subject areas

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