||Application of Boundary-Layer Theory to Dispersion in Nonstratified Two-Dimensional Estuaries.
Nielse, Jack N. ;
Kuh, Gary D. ;
||Nielsen Engineering and Research, Inc., Mountain View, Calif.
||NEAR-TR-45; DI-14-31-0001-3698; OWRR-C-3189(3698); 04983,; C-3189(3698)(1)
Tidal currents ;
Mathematical models ;
Turbulent boundary layer ;
Water pollution ;
Path of pollutants
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An analytical formula representing the law of the wall and the law of the wake of turbulent boundary-layer theory has been found to represent the vertical velocity profiles of both laboratory channels and field data from real estuaries. The formula is used in an itegral boundary-layer calculation method to calculate the detailed time-dependent flow field of two-dimensional estuaries. For given tidal information, only the integrated continuity and momentum equations are necessary to calculate the two parameters of the formula. An analytical expression for the concentration profile is derived based on an analogy between turbulent exchange of momentum and mass. Good comparisons between theory and experiment were obtained for the flow field of a laboratory flume.