Boundary Layer Flow due to the Vibration of a Sphere | Zendy

Muhammad Sadiq | Zendy

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Boundary Layer Flow due to the Vibration of a Sphere

Author(s) -

Muhammad Sadiq

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/191606

Subject(s) - boundary layer , reynolds number , boundary (topology) , flow (mathematics) , limit (mathematics) , mathematical analysis , mathematics , mechanics , physics , turbulence

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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