What is it about?

We use high-quality measurements of a round turbulent jet to support a theoretical model of a turbulent jet based on first principles. The model is derived from conservation laws based on physical symmetries as derived by the famous mathematician Emily Nöther. The measurements have been carried out using an in-house designed laser Doppler anemometry system that provides accurate measurements of fine-scale turbulence.

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Why is it important?

This model and its experimental verification adds to our fundamental understanding of turbulence and symmetries within turbulence. By these methods, we can not only describe the academically and technologically important turbulent round jet across the full developed flow region from knowing the flow at a single downstream position. We can also understand why the jet can be reduced in dimensionality and how the symmetries and conservation laws can provide a much simpler model for the jet.

Perspectives

This method can, in principle, be applied to many other important canonical flows in turbulence that display similarity properties. The similarity solutions can provide predictions of important parameters for modeling, e.g. dissipation, which is a central modeling parameter that is notoriously difficult to measure completely and accurately.

Clara Velte
Danmarks Tekniske Universitet

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This page is a summary of: Similarity scaling of the axisymmetric turbulent jet, Physics of Fluids, September 2022, American Institute of Physics,
DOI: 10.1063/5.0102812.
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