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Inversion transformation of Stokes flows bounded by parallel planes
Authors:Mustapha Hellou
Abstract:
The positive inversion transformation applied to atwo-dimensional Stokes flow around bodies leads alike to a Stokesflow. This fact can be exploited to find new two-dimensionalStokes flow solutions around inverse bodies. Some features of thismethod, such as the relations between the reference and inversefluid velocity fields, are presented followed by an application toexamples of cellular flow between two parallel plates induced byrotating or translating cylinder. Thus hydrodynamiccharacteristics of flow around circular bodies obtained byinversion of the plates are straightforward deduced. Typical fluidflow patterns around two circular cylinders in contact placed inthe centre of a rotating or a translating circular cylinder arethus illustrated.
Keywords:
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