An Approach to the Study of Transverse Mixing in Streams

Somlyody, L. (1980). An Approach to the Study of Transverse Mixing in Streams. IIASA Professional Paper. IIASA, Laxenburg, Austria: PP-80-006

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Abstract

Transverse mixing under steady conditions is studied by introducing the mass streamline as the streamline of the mass density vector field. No transport occurs perpendicular thereto. The mass streamline is defined by two equations, written preferably in a curvilinear set of coordinates consisting of streamlines and the trajectories perpendicular thereto. The mass streamlines and the concentration field are determined simultaneously by the method of finite differences. The former present a visual picture about the mixing process. The equations derived allow the calculation of the transverse dispersion coefficient, too, if the concentration field is given. Two methods are described, one resembling in nature the generalized change of momentum method, the other allowing the determination of the variations in D_b over the plane.

To verify the methods derived for determining the concentration field and the dispersion coefficient the results of analytical- and numerical solutions, the calculated and observed concentrations have been compared in different cases. Tracer studies have been made on five different streams (Q = 0.25 - 2000 (m^3)/s ) and data published in the literature have also been used. The limitations of the two-dimensional treatment have been examined finally.

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