Hydrodynamic forces on two moving discs

• Main Authors: Burton D.A., Gratus J., Tucker R.W.
• Format: Article
• Language: English
• Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2004-01-01
• Series: Theoretical and Applied Mechanics
• Subjects: Killing drives; conformal mapping techniques; meromorphic function; Mobius transformation; annular region
• Online Access: http://www.doiserbia.nb.rs/img/doi/1450-5584/2004/1450-55840402153B.pdf

We give a detailed presentation of a flexible method for constructing explicit expressions of irrotational and incompressible fluid flows around two rigid circular moving discs. We also discuss how such expressions can be used to compute the fluid-induced forces and torques on the discs in terms of Killing drives. Conformal mapping techniques are used to identify a meromorphic function on an annular region in C with a flow around two circular discs by a Mobius transformation. First order poles in the annular region correspond to vortices outside of the two discs. Inflows are incorporated by putting a second order pole at the point in the annulus that corresponds to infinity.