Small-scale turbulent fluctuations beyond Taylor's frozen-flow hypothesis

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 6, 2010, Pages

  He, Xiaozhou ^a   He, Guowei ^b   Tong, Penger ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b INSTITUTE OF MECHANICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FROZEN FLOW HYPOTHESIS; LOCAL TEMPERATURE; RAYLEIGH; RMS VELOCITIES; SCALING FORMS; SPACE-TIME CROSS-CORRELATION FUNCTIONS; TURBULENT FLUCTUATION; TWO-POINT;

TIME SERIES;

EID: 77954236496     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.065303     Document Type: Article

References (23)

1. U. Frisch, Turbulence: the Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, UK, 1995).
2. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 9 (1941)
3. [reprinted in A. N. Kolmogorov, Proc. R. Soc. London, Ser. A 434, 9 (1991)]. 10.1098/rspa.1991.0075
4. G. I. Taylor, Proc. R. Soc. London, Ser. A 164, 476 (1938). 10.1098/rspa.1938.0032
5. J.-F. Pinton and R. Labbé, J. Phys. II 4, 1461 (1994). 10.1051/jp2:1994211
6. O. Chanal, Eur. Phys. J. B 17, 309 (2000). 10.1007/s100510070146
7. G.-W. He and J.-B. Zhang, Phys. Rev. E 73, 055303 (R) (2006) 10.1103/PhysRevE.73.055303
8. X. Zhao and G.-W. He, Phys. Rev. E 79, 046316 (2009). 10.1103/PhysRevE.79.046316
9. R. H. Kraichnan, Phys. Fluids 7, 1723 (1964). 10.1063/1.2746572
10. The Rayleigh number is defined as Ra = α g Δ T H 3 / (ν κ), where g is the gravitational acceleration, Δ T is the temperature difference across the fluid layer of thickness H, and α, ν, and κ are, respectively, the thermal expansion coefficient, the kinematic viscosity, and the thermal diffusivity of the fluid. The Prandtl number is defined as Pr = ν / κ.
11. X.-Z. He and P. Tong, Phys. Rev. E 79, 026306 (2009). 10.1103/PhysRevE.79.026306
12. X.-L. Qiu and P. Tong, Phys. Rev. E 64, 036304 (2001). 10.1103/PhysRevE.64.036304
13. E. Calzavarini, F. Toschi, and R. Tripiccione, Phys. Rev. E 66, 016304 (2002). 10.1103/PhysRevE.66.016304
14. C. Sun, Q. Zhou, and K. Q. Xia, Phys. Rev. Lett. 97, 144504 (2006). 10.1103/PhysRevLett.97.144504
15. H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, MA, 1999).
16. S.-Y. Chen and R. H. Kraichnan, Phys. Fluids A 1, 2019 (1989). 10.1063/1.857475
17. B. Castaing, J. Fluid Mech. 204, 1 (1989). 10.1017/S0022112089001643
18. M. Sano, X. Z. Wu, and A. Libchaber, Phys. Rev. A 40, 6421 (1989). 10.1103/PhysRevA.40.6421
19. F. Chillá, EPL 22, 23 (1993). 10.1209/0295-5075/22/1/005
20. D. Lohse and K.-Q. Xia, Annu. Rev. Fluid Mech. 42, 335 (2010). 10.1146/annurev.fluid.010908.165152
21. E. Siggia, Annu. Rev. Fluid Mech. 26, 137 (1994). 10.1146/annurev.fl.26. 010194.001033
22. X.-L. Qiu and P. Tong, Phys. Rev. Lett. 87, 094501 (2001). 10.1103/PhysRevLett.87.094501
23. T. Ishihara, J. Phys. Soc. Jpn. 74, 1464 (2005). 10.1143/JPSJ.74.1464