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Boundary Layer Flow due to the Vibration of a Sphere

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  • Muhammad Adil Sadiq

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 . The effect of the Stokes drift of fluid particles is also considered.

Suggested Citation

  • Muhammad Adil Sadiq, 2014. "Boundary Layer Flow due to the Vibration of a Sphere," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-14, July.
    • Handle: RePEc:hin:jnljam:191606
    DOI: 10.1155/2014/191606
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    Cited by:

    1. Ali, Bagh & Shafiq, Anum & Manan, Abdul & Wakif, Abderrahim & Hussain, Sajjad, 2022. "Bioconvection: Significance of mixed convection and mhd on dynamics of Casson nanofluid in the stagnation point of rotating sphere via finite element simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 254-268.

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