Fractal

Turbulence

For turbulence researches, the fractal dimension is widely used. For instance, in turbulent/non-turbulent interface. Some observations suggest that unbounded turbulent shear flows a sharp front or interface demarcates the turbulent and non-turbulent regions.The free edge of boundary layer shows much the same behavior.

(a) :Photography of the boundary layer in wind tunnel; (b) : Flow visualization of a turbulent jet, made by laser-induced fluorescence.

The fractal dimension of the distribution of the turbulent field can be calculated using the box-counting method:

Plot of the number of boxes N(r) needed to cover the turbulent/non-turbulent interface at a kinetic energy threshold of 0.1% [Charitha M. de Silva, 2013]
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