Abstract
In this work some investigations on the properties of the so calledform function \(f\left( {\frac{r}{\eta }} \right)\) which characterizes the scaling behavior of the small scales fluctuations in a turbulent flow are presented. The present analysis is based on previous experimental measurements in homogeneous and non-homogeneous grid-generated turbulence at low Reλ. The universality properties of the form function are investigated in the frame of the Extended Self Similarity (ESS) form of scaling.
Sommario
Nel presente lavoro viene presentato uno studio riguardante le proprietà della cosiddetta funzione di forma\(f\left( {\frac{r}{\eta }} \right)\) che caratterizza le leggi di scala delle fluttuazioni di velocità in un flusso turbolento. L'analisi é basata su precedenti misure sperimentali effettuate in flussi turbolenti generati da griglie a bassi Reλ ed in condizioni omogenee e non omogenee. Le proprietá di universalitá della funzione di forma sono studiate nell'ambito della cosiddetta Extended Self-Similarity.
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References
Kolmogorov, A., ‘The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers’,C. R. Akad. Sci. SSSR,30, (1941) 301–305.
Pao, Y.H., ‘Structure of turbulent velocity and scalar fields at large wave numbers’,Phys. Fluids, 8, (1965) 1063.
Anselmet, F., Gagne, Y., Hopfinger, E.J. and Antonia, R.A., ‘High-order velocity structure functions in turbulent shear flows’,J. Fluid Mech. 140, (1984) 63–89.
Benzi, R., Ciliberto, S., Tripiccione, R., Baudet C., Massaioli, F. and Succi, S., ‘Extended self-similarity in turbulent flows’,Phys. Rev. E. 48, (1993a) 29.
Benzi, R., Ciliberto, S., Baudet, C., Chavarria, G.R. and Tripiccione, R., ‘Extended self-similarity in the dissipation range’,Europhys. Lett.,24, (1993b) 275.
Benzi, R., Ciliberto, S. and Chavarria, G.R., ‘On the scaling of three dimensional homogeneous and isotropic turbulence’,Physica D, 1995, in press.
Briscolini, M., Santangelo, P., Succi, S. and Benzi, R., ‘Extended self similarity in the numerical simulation of three dimentional homogeneous flows’, to appear onPhys. Rev. E, 1994.
Camussi, R. and Guj, G., ‘Experimental analysis of scaling laws in low Reλ grid-generated turbulence’,Exp. in Fluids, 1995a, in press.
Camussi, R., Barbagallo, D., Guj, G. and Stella, F., ‘Transverse and longitudinal scaling laws in anisotropic low Re turbulence’ submitted toPhys. of Fluids, 1995b.
George, W.K., ‘The decay of homogeneous turbulence’,Phys. Fluids,4, (1992) 1492–1509.
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Camuss, R., Guj, G. On the extended self similarity and the form function. Meccanica 30, 719–725 (1995). https://doi.org/10.1007/BF00986576
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DOI: https://doi.org/10.1007/BF00986576