A cylinder moves between two walls with arbitrary velocity and arbitrarily located centre. The motion of the cylinder is equivalent to the motion of two lattices of cylinders with one line of centres and with velocities anti-parallel relative to the line. To calculate the flow potential, a generalisation of the image method is used. The flow potential is represented as a sum of potentials of an infinite sequence of dipoles. Comparison with known particular solutions proves high accuracy of the obtained solution.
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