Singularities at rims in three - dimensional fluid flow
نویسندگان
چکیده
Asymptotic solutions are presented for Stokes flow near circular rims in three dimensional geometries. Using nonstandard toroidal coordinates, asymptotic analytical expressions are derived for different corner angles. In comparison to the two-dimensional case, an extra critical corner angle value is derived, below which the swirling behavior of a particle is absent. Illustrations of the motion of a particle near a rim in a three-dimensional fluid flow are given for different corner angles.
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