Open Access
2014 Boundary Layer Flow due to the Vibration of a Sphere
Muhammad Adil Sadiq
J. Appl. Math. 2014: 1-14 (2014). DOI: 10.1155/2014/191606


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.


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Muhammad Adil Sadiq. "Boundary Layer Flow due to the Vibration of a Sphere." J. Appl. Math. 2014 1 - 14, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131390
MathSciNet: MR3246405
Digital Object Identifier: 10.1155/2014/191606

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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