Fractal dimension crossovers in turbulent passive scalar signals
Grossmann, Siegfried and Lohse, Detlef (1994) Fractal dimension crossovers in turbulent passive scalar signals. Europhysics Letters, 27 (5). pp. 347352. ISSN 02955075

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Abstract:  The fractal dimension δg(1) of turbulent passive scalar signals is calculated from the fluid dynamical equation. δg(1) depends on the scale. For small Prandtl (or Schmidt) number Pr < 102 one gets two ranges, δg(1) = 1 for smallscale r and δg(1) = 5/3 for large r, both as expected. But for large Pr > 1 one gets a third, intermediate range in which the signal is extremely wrinkled and has δg(1) = 2. In that range the passive scalar structure function Dθ(r) has a plateau. We calculate the Prdependence of the crossovers. The plateau regime can be observed in a numerical solution of the fluid dynamical equation, employing a reduced wave vector set approximation introduced by us recently. 
Item Type:  Article 
Copyright:  © 1994 Institute of Physics 
Link to this item:  http://purl.utwente.nl/publications/50332 
Official URL:  https://doi.org/10.1209/02955075/27/5/003 
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