Geometric Inversion of Two-Dimensional Stokes Flows – Application to the Flow between Parallel Planes

DOI: 10.4236/eng.2010.210100   PDF   HTML   XML   5,319 Downloads   9,304 Views   Citations


Geometric inversion is applied to two-dimensional Stokes flow in view to find new Stokes flow solutions. The principle of this method and the relations between the reference and inverse fluid velocity fields are presented. They are followed by applications to the flow between two parallel plates induced by a rotating or a translating cylinder. Thus hydrodynamic characteristics of flow around circular bodies obtained by inversion of the plates are thus deduced. Typically fluid flow patterns around two circular cylinders in contact placed in the centre of a rotating or a translating circular cylinder are illustrated.

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M. Hellou, "Geometric Inversion of Two-Dimensional Stokes Flows – Application to the Flow between Parallel Planes," Engineering, Vol. 2 No. 10, 2010, pp. 780-787. doi: 10.4236/eng.2010.210100.

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The authors declare no conflicts of interest.


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