Boundary Layer Flow due to the Vibration of a Sphere

Boundary Layer Flow due to the Vibration of a Sphere

Boundary layer flow of the Newtonian fluid that is caused by the vibration of inner sphere while the outer sphere is at rest is calculated. Vishik-Lyusternik (Nayfeh refers to this method as the method of composite expansions) method is employed to construct an asymptotic expansion of the solution o...

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Main Author: Muhammad Adil Sadiq
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/191606
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spelling doaj-b0027fe50f804182b72f8ce5dc0671682020-11-24T23:19:34ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/191606191606Boundary Layer Flow due to the Vibration of a SphereMuhammad Adil Sadiq0Department of Mathematics, Dammam Community College, KFUPM, P.O. Box 5084, Dhahran 31261, Saudi ArabiaBoundary layer flow of the Newtonian fluid that is caused by the vibration of inner sphere while the outer sphere is at rest is calculated. Vishik-Lyusternik (Nayfeh refers to this method as the method of composite expansions) 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 number of O(1). The effect of the Stokes drift of fluid particles is also considered.http://dx.doi.org/10.1155/2014/191606
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Adil Sadiq
spellingShingle Muhammad Adil Sadiq
Boundary Layer Flow due to the Vibration of a Sphere
Journal of Applied Mathematics
author_facet Muhammad Adil Sadiq
author_sort Muhammad Adil Sadiq
title Boundary Layer Flow due to the Vibration of a Sphere
title_short Boundary Layer Flow due to the Vibration of a Sphere
title_full Boundary Layer Flow due to the Vibration of a Sphere
title_fullStr Boundary Layer Flow due to the Vibration of a Sphere
title_full_unstemmed Boundary Layer Flow due to the Vibration of a Sphere
title_sort boundary layer flow due to the vibration of a sphere
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description Boundary layer flow of the Newtonian fluid that is caused by the vibration of inner sphere while the outer sphere is at rest is calculated. Vishik-Lyusternik (Nayfeh refers to this method as the method of composite expansions) 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 number of O(1). The effect of the Stokes drift of fluid particles is also considered.
url http://dx.doi.org/10.1155/2014/191606
work_keys_str_mv AT muhammadadilsadiq boundarylayerflowduetothevibrationofasphere
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