Abstract
Steady Stokes flow driven by gravity down an inclined plane wall around a circular cylinder attached to the wall is considered. The effects of the cylinder are examined for various flow configurations. Values for the unit normal and curvature of the free surface are found using a Hermitian radial basis function interpolation. All free surface profiles indicate an upstream peak, followed by a trough downstream of the obstacle with the peak decaying in a “horseshoe” shaped deformation. Flow profiles are governed by four parameters; the plane inclination, the Bond number, the contact angle and the obstacle geometry.
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