title: Self-consistent theory of capillary-gravity-wave generation by small moving objects.
abstract: We investigate theoretically the onset of capillary-gravity waves created by a small object moving at the water-air interface. It is well established that, for straight uniform motion, no steady waves appear at velocities below the minimum phase velocity c(min)=23 cm/s. At higher velocities, the emission of capillary-gravity waves creates an additional drag force. The behavior of this force near the critical velocity is still poorly understood. A linear-response theory where the object is replaced by an effective pressure source predicts a singular behavior for the wave drag. However, experimental data tend to indicate a more continuous transition. In this paper, we show that a proper treatment of the flow equations around the obstacle can regularize wave emission, even in the linear wave approximation, thereby ensuring a continuous behavior of the drag force.
authors.affiliation: Laboratoire de Physique des Solides, Université Paris-Sud-CNRS, UMR 8502, Orsay, France.
authors.forename: A D
authors.initials: AD
authors.lastname: Chepelianskii
authors.forename: M
authors.initials: M
authors.lastname: Schindler
authors.forename: F
authors.initials: F
authors.lastname: Chevy
authors.forename: E
authors.initials: E
authors.lastname: Raphaël