Abstract

A numerical analysis has been performed for three-dimensional developing turbulent flow in an elliptical duct by a modified Reynolds stress equation model. Governing equations are transformed from the physical plane to the calculation plane by boundary-fitted coordinate systems. The calculated results are compared with the experimental data available. The predicted results of mean velocity along the axes and friction factor agree relatively well with the experimental data. The results of this analysis enable the prediction of the secondary flow of the second kind which characterizes noncircular duct flow. At the same time, a clear statement of the distribution of the various Reynolds stresses is made, showing their characteristic aspects. The secondary flow of the second kind reaches maximum intensity in the midst of development. This is a result of shear layer interaction effects as the boundary layer developing along the wall of the elliptical duct begin to merge.

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