ABSTRACT

Eulerian methods look at a fixed control volume and the changes in properties of the fluids that pass in and out of the volume. Equations are expressed in space derivatives rather than with time as in Lagrangian methods. The plumes begin to merge when the width of the individual plumes becomes equal to the spacing between the ports. This has to be taken into account in the calculations, since the profiles are no longer axisymmetric once the plumes have started to merge. The approximate shape of the concentration distribution along the line connecting the center of each individual plume with the overlap region where plumes have merged into each other. In order to continue the integral analysis through the merging zone, the profiles in the merging plumes must be known. Superposition of overlapping distributions for single plumes furnishes the approximation.