Boundary Layer Flow due to the Vibration of a Sphere. (24th July 2014)

• Record Type: Journal Article
• Authors: Sadiq, Muhammad Adil
• Other Names: Meylan Michael Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-07-24
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/191606
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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.