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APPLICATION OF FRACTAL THEORY FOR CALCULATION OF KINEMATIC FLOW CHARACTERISTICS IN HYDROSYSTEM TAILRACE
Abstract
Parameters of local scours in an unprotected part of the riverbed behind the hydrosystem end structures are determined by distribution of kinematic characteristics of the flow. The kinematic characteristics in cross-sections of a natural part of the riverbed depend on a number of factors, including the bottom roughness, flow depth and water surface slope. To calculate the velocity distribution over the cross-section of the drainage channel, we used Navier?Stokes equations for the uniform steady turbulent motion. We proposed to derive the logarithmic profile of longitudinal velocities in the flow depth based on the theory of fractals. The calculation in MathCad showed the convergence of results of this approach with data of N.B. Baryshnikov. It is established that, using the obtained parameters, the dependence of the velocity distribution in the flow depth, obtained on the basis of the fractals theory, has a good convergence with the logarithmic profile, obtained according to classical methods. The fractal theory was applied to output the parameters of Karman vortex street. The results can be used to simulate the flow spreading and the local scours in the hydrosystem tailraces.
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