The mathematical model of nearly horizontal flows is applied for the study of the nonuniform flow over a steep-sided, dredged, port approach channel. A mixed finite-difference/finite-element method is used for the solution. The eddy viscosity parameter is computed by means of both the mixing length and turbulence kinetic energy turbulence closures. The comparison of the computed flow magnitudes (velocity, eddy viscosity, shear stresses, and turbulence kinetic energy) to the laboratory measured ones demonstrate the predictive character of the model.