Fractal geometry of isoscalar surfaces in turbulence - Theory and experiments

Statistics – Computation

Scientific paper

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Computational Fluid Dynamics, Flow Geometry, Fractals, Isothermal Layers, Turbulence, Turbulent Flow, Euler-Lagrange Equation, Flow Measurement, Flow Visualization, Reynolds Number, Scalars

Scientific paper

A Lagrangian calculation is presented for the area of isothermal (or isoconcentration) surfaces in a medium of fluid turbulence. It is argued that such surfaces appear fractal above some inner scale which depends on the Reynolds number. The fractal dimension is estimated theoretically. The theory is compared to experiments in which a dye is used as a passive scalar turbulent flows. Good agreement in many details is reported.

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