An Experimental Investigation of Nonequilibrium Physics and Dynamical Systems in Turbulent Fluids.

作者: Mahesh M Bandi

DOI:

关键词:

摘要: Experiment 1 studies finite system size effects on temporal energy flux fluctuations in three-dimensional (3D) incompressible turbulence. The measured instantaneous shows that the turbulent transfer proceeds towards small spatial scales average but frequently reverses direction (backscatter) to travel larger scales. frequency of backscatter events is studied experimentally and through simulations. In 2 third-order Eulerian structure function for compressible turbulence a free surface first time, found scale linearly space agrees well with Kolmogorov's theory 1941 (K41). K41 predicts second-order Lagrangian should time. However experimental measurements show it instead as power-law exponent 1/2. 3 concerns measurement entropy production rate steady-state analysis relies recent Falkovich Fouxon. expected equal time integral lagrangian velocity divergence correlation negative prefactor. results are disagree this prediction. addition, if highly chaotic (follows SRB statistics), system's equals sum its Lyapunov exponents. exponents obtained from simulations by Boffetta et. al. under flow conditions similar experiment. 4 presents test Steady-State Fluctuation Theorem Gallavotti Cohen statistics collected individual trajectories experiment 3. excellent agreement within limited interval probability distributions window averaging times.

参考文章(73)
G. Gallavotti, P. L. Garrido, F. Bonetto, Chaotic principle: an experimental test Physica D: Nonlinear Phenomena. ,vol. 105, pp. 226- 252 ,(1997) , 10.1016/S0167-2789(97)00007-9
P. K. Yeung, LAGRANGIAN INVESTIGATIONS OF TURBULENCE Annual Review of Fluid Mechanics. ,vol. 34, pp. 115- 142 ,(2003) , 10.1146/ANNUREV.FLUID.34.082101.170725
Anna von der Heydt, Siegfried Grossmann, Detlef Lohse, Response maxima in modulated turbulence Physical Review E. ,vol. 67, pp. 046308- ,(2003) , 10.1103/PHYSREVE.67.046308
N. Mordant, J. Delour, E. Léveque, A. Arnéodo, J.-F. Pinton, Long time correlations in lagrangian dynamics: a key to intermittency in turbulence. Physical Review Letters. ,vol. 89, pp. 254502- ,(2002) , 10.1103/PHYSREVLETT.89.254502
R Benzi, G Paladin, G Parisi, A Vulpiani, On the multifractal nature of fully developed turbulence and chaotic systems Journal of Physics A. ,vol. 17, pp. 3521- 3531 ,(1984) , 10.1088/0305-4470/17/18/021
F. Anselmet, Y. Gagne, E. J. Hopfinger, R. A. Antonia, High-order velocity structure functions in turbulent shear flows Journal of Fluid Mechanics. ,vol. 140, pp. 63- 89 ,(1984) , 10.1017/S0022112084000513
Gregory L. Eyink, Katepalli R. Sreenivasan, Onsager and the theory of hydrodynamic turbulence Reviews of Modern Physics. ,vol. 78, pp. 87- 135 ,(2006) , 10.1103/REVMODPHYS.78.87
Luiza Angheluta, Roberto Benzi, Luca Biferale, Itamar Procaccia, Federico Toschi, Anomalous scaling exponents in nonlinear models of turbulence Physical Review Letters. ,vol. 97, pp. 160601- 160601 ,(2006) , 10.1103/PHYSREVLETT.97.160601
Gregory Falkovich, Alexander Fouxon, None, Entropy production and extraction in dynamical systems and turbulence New Journal of Physics. ,vol. 6, pp. 50- 50 ,(2004) , 10.1088/1367-2630/6/1/050
C. Mira, Chaotic dynamics ,(1987)