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Advances in Water Treatment and Enviromental Management

Advances in Water Treatment and Enviromental Management

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148 WATER TREATMENTFig. 5a: Spatial Distribution of Mean Velocity U L<strong>and</strong>Turbulence Intensity Tu xwithout Grid (= type T0)Fig. 5b: Spatial Distribution of Mean Velocity U L <strong>and</strong>Turbulence Intensity Tu xwith Grid (= type T1)<strong>and</strong> the turbulence <strong>in</strong>tensity aga<strong>in</strong> prove to be constant over the cross-section, butturbulence <strong>in</strong>tensities now <strong>in</strong>crease to a value of .Moreover, the measurements of the longitud<strong>in</strong>al <strong>and</strong> transversal velocity fluctuations( ) <strong>in</strong>dicate the degree of isotropy of the turbulence without <strong>and</strong> with thegrid (Fig. 6). This fact is described by Ba<strong>in</strong>es <strong>and</strong> Peterson (1958) for air flow <strong>and</strong>also by Lance <strong>and</strong> Bataille (1984) <strong>in</strong> water flow.F<strong>in</strong>ally the decay of turbulence is governed by the follow<strong>in</strong>g asymptotic law:In Fig. 7 is plotted the variation of turbulence <strong>in</strong>tensities along the axis for all testconditions. No noticeable <strong>in</strong>fluence of the Reynolds-number, Re, <strong>in</strong> the range studiedwas found.Ba<strong>in</strong>es <strong>and</strong> Peterson (1958) also gave a function for the lateral scale of turbulence:(5)(6)

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