Boundary Layer Flow due to the Vibration of a Sphere

Journal of Applied Mathematics. 2014;2014 DOI 10.1155/2014/191606

 

Journal Homepage

Journal Title: Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)

Publisher: Hindawi Limited

LCC Subject Category: Science: Mathematics

Country of publisher: United Kingdom

Language of fulltext: English

Full-text formats available: PDF, HTML, ePUB, XML

 

AUTHORS

Muhammad Adil Sadiq (Department of Mathematics, Dammam Community College, KFUPM, P.O. Box 5084, Dhahran 31261, Saudi Arabia)

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 18 weeks

 

Abstract | Full Text

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.