Abstract
We consider the problem of turbulence generation at a vibrating grid in the x 2-x 3 plane. Turbulence diffuses in the x 1 direction. Analyzing the multi-point correlation equation using Lie-group analysis we find three different solutions (scaling laws): classical diffusion-like solution (heat equation like), decelerating diffusion-wave solution and finite domain diffusion due to rotation. All solution have been obtained using Lie- group (symmetry) methods. It is shown that models based on Reynolds averaging are only capable to model either the diffusion-like solution or the decelerating diffusion-wave solution. The latter solution is only admitted under certain algebraic constraints on the model constants. Turbulent diffusion on a finite domain induced by rotation is not admitted by any of the classical models.
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© 2004 Springer Science+Business Media Dordrecht
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Oberlack, M., Guenther, S. (2004). New Scaling Laws of Shear-Free Turbulent Diffusion and Diffusion-Waves. In: Smits, A.J. (eds) IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow. Fluid Mechanics and its Applications, vol 74. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0997-3_11
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DOI: https://doi.org/10.1007/978-94-007-0997-3_11
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