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Flow between an external fixed cylinder and an intermal moving one. Part II

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Uploaded by on Apr 24, 2011

The external cylinder (R=3) is fixed and the internal one (R=2) performs a periodic motion d=d0*sin(w*t), with d0=0.75, w=1.05. Viscosity of fluid is nu=1e-4. Results have been obtained with the Multi-Physics open source Finite Element program PETSc-FEM (http://www.cimec.org.ar/petscfem ). In this part of the video we show the movement of particles (tadpoles) and the transformation used. Warning: the mesh shown is not the actual mesh used in the computation. The mesh shown here is roughly 1:6 times coarser than the mesh used, and it is shown only in order to see the orthogonal transformation used. The transformation maps the eccentric circular annulus to a concentric one and is based in the composition of two inversions (conformal) and a final non-conformal (but orthogonal) transformation.

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