Boundary Layer Flow due to the Vibration of a Sphere

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. © 2014 muhammad adil sadiq.