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



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


Blind peer review

Editorial Board

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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.