Abstract

A semiempineal approximation of the equations for second order correlations and moments was quantitatively investigated. The resulting partial differential equations for mean velocity, turbulent kinetic energy and length scale are supposed to be valid for plane and axisymmetric free as well as bounded turbulent flows. They were converted into ordinary differential equations by means of similarity transformations for six different flow cases (plane free jet, plane asymptotic wake, free mixing layer, plane channel flow, axisymmetric free jet, axisymmetric pipe flow) and then solved numerically. The values of the coefficients introduced for the closure of the equations were determined from investigations of the dependence of the solutions on them and by comparison with experimental results. A single set of coefficients was obtained, which reproduces the measurements of mean velocity for all six treated cases and the decay of homogeneous turbulence with satisfactory agreement.

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