A time‐dependent analysis is made of the inviscid, incompressible Taylor column generated by the uniform motion of a thin disk of radiusarising slowly along the vertical axis of rotation of a tall, vertical, rotating, liquid‐filled right circular cylinder of radiusb. It is shown analytically that the effect of the sidewalls of the cylinder on the Taylor column drag on the disk may be neglected ifa/b<0.1. Even ifa/b∼0.4, the increase in drag above unbounded Taylor column value is less than 10%.