Free-surface flow over a semicircular obstruction, including the influence of gravity and surface tension

Abstract

A previous study by Forbes & Schwartz (1982) on flow under gravity of a fluid over a submerged semicircular disturbance is generalized to include the effects of surface tension. A linearized theory is presented, in which the existence of three different branches of solution is predicted. The solution of the fully nonlinear problem by a boundary-integral technique supports this prediction. The wave resistance experienced by the obstacle is computed for the linearized and nonlinear theories.