The theory of dispersion of chemically active solutes in a rectilinear flow field

We report a procedure for the construction of the dispersion coefficients which define the dispersion approximation to the transverse average of the solution of the scalar convective diffusion equation; the procedure enjoys a generalization to the vector convective diffusion equation. We exhibit the full time dependence of the dispersion coefficients in any transverse average and identify a mathematically preferred transverse average for the dispersion of chemically active solute.