Damping characteristics of gravity waves obliquely incident on a monomolecular film: Part I

Viscous damping characteristics of long-crested gravity waves, propagating obliquely through a long monomolecular film of finite width, are considered for physical situations in which the wind is absent. The methods employed in the investigation are based on boundary-layer techniques, and formulae are derived for the local spatially-dependent decay coefficient and amplitude-function due to propagation of deep-water waves across extensible films. In II, such formulae are illustrated graphically to demonstrate the influence of angle of incidence, film edges, and surfactant properties, and some reference is made in relation to practically realisable values of the surface elasticity .