This paper describes delicate, but large-scale, experiments aimed at measur
ing the hydrodynamic damping of a circular cylinder oscillating in still wa
ter and transversely in a current. Attention is concentrated on the regime
of very small Keulegan-Carpenter numbers, in which the drag coefficient is
inversely proportional to the Keulegan-Carpenter number. Measurements in st
ill water at beta = 650 000 and 1 250 000 point to drag coefficients about
twice those appropriate to two-dimensional laminar flow, in common with ear
lier measurements at beta approximate to 10(5). In the presence of a slowly
varying transverse current (generated by placing the cylinder at the node
of standing waves of long period), the damping increased with the reduced v
elocity of the ambient flow at a rate that increased with the Reynolds numb
er. (C) 2000 Academic Press.