ABSTRACT
A Lagrangian formulation has a coordinate system that moves with the plume. Integration is with time. The slice that is followed is usually the shape of a section of a bent cone. Entrainment of ambient fluid into the slice is divided into two components consisting of forced entrainment due to ambient current through the surface area of the slice seen by the ambient current and Taylor-type aspiration entrainment. When plumes from a multiple port discharge merge, the entrainment is modified to reflect the decrease in exposed entrainment surface and the volume of the slice is modified to reflect the symmetry planes between plume centerlines. Integration of the equations is performed in a step-wise manner calculating plume trajectory, size, average temperature and concentration, and plume average dilution. Ambient velocity, temperature, and salinity are used at each vertical location the plume passes through. These ambient properties are input in tabular form by the user as a function of depth.
