Non-uniform discharges of contaminants in shear flows

Abstract

For a non-uniform discharge of contaminant in a shear flow the initial advection velocity and the amount of shear across the contaminant cloud depend upon the discharge shape across the flow. Here i t is shown how the continuing influence of the discharge non-uniformity can be incorporated into a delay-diffusion description of the dispersion process (Smith 198 1). An important improvement over the variable coefficient diffusion equation derived by Gill 85 Sankarasubramanian (1971) is that the solutions have the physically correct superposition property.