The virtual mass coefficients of a circular cylinder moving in an ideal fluid between parallel walls

A modification of the method of successive approximations to find the dependence of the virtual mass coefficients of a circular cylinder, moving perpendicular to its axis at an arbitrary point between parallel walls, on the dimensionless distances to both walls, is proposed. The velocity field of the corresponding plane problem is modelled by an infinite sequence of dipoles, situated along a line passing through the centre of the cylinder and perpendicular to the walls. The relations obtained are approximated by simple continuous functions. In special cases, the results obtained are compared with well-known solutions of the problem of the motion of the cylinder near one wall and transverse in rotational flow around an array of cylinders.