The rise of forced plumes in a stably stratified crossflow

Solutions are found describing the rise of turbulent buoyant plumes in a neutral or stably stratified crossflow from a source having finite fluxes of buoyancy, momentum and volume. Plumes from such sources are known as forced plumes. The solutions arise from a unified theory having one disposable parameter, the entrainment constant, and they describe a wide range of behaviour of plumes and jets in a crossflow. Solutions for buoyant plumes indicate that, for any given source, heights of rise are reduced with increased crossflow velocity and increased stratification while for constant environmental parameters, heights of rise are increased with increased fluxes of source buoyancy and momentum and are decreased with source radius. Maximum dilutions occur in plumes from small sources with relatively large buoyancy fluxes in light crossflows with small stratification.