Restricted scaling range models for turbulent velocity and scalar energy transfers in decaying turbulence

References

• Kármán , T. and Howarth , L. 1938 . On the statistical theory of isotropic turbulence . Proc. R. Soc. London, Ser. , A 164 ( 917 ) : 192 – 215 .
   Google Scholar
• Kolmogorov , A. 1941 . Dissipation of energy in the locally isotropic turbulence . Dokl. Akad. Nauk. SSSR , 125 : 15 – 17 .
   Google Scholar
• Yaglom , A. M. 1949 . On the local structure of a temperature field in a turbulent flow . Dokl. Akad. Nauk SSSR , 69 : 743
   Google Scholar
• Danaila , L. , Anselmet , F. , Zhou , T. and Antonia , R. A. 1999 . A generalization of Yaglom’s equations which accounts for the large-scale forcing in heated decaying turbulence . J. Fluid Mech. , 391 : 359 – 372 . doi: 10.1017/S0022112099005418
   Web of Science ®Google Scholar
• Hill , R. J. 2002 . Exact second-order structure-function relationships . J. Fluid Mech. , 468 : 317 – 326 . doi: 10.1017/S0022112002001696
   Web of Science ®Google Scholar
• Danaila , L. , Anselmet , F. and Antonia , R. A. 2002 . An overview of the effect of large scale inhomogeneities on small-scale turbulence . Phys. Fluids , 14 : 2475 – 2484 . doi: 10.1063/1.1476300
   Web of Science ®Google Scholar
• Qian , J. 1997 . Inertial range and the finite Reynolds number effect of turbulence . Phys. Rev. , E 55 : 337 – 342 .
   Google Scholar
• Qian , J. 1999 . Slow decay of the finite Reynolds number effect of turbulence . Phys. Rev. , E 60 : 3409 – 3412 .
   Google Scholar
• Lindborg , E. 1999 . Correction to the four-fifths law due to variations of the dissipation . Phys. Fluids , 11 : 510 – 512 . doi: 10.1063/1.869924
   Web of Science ®Google Scholar
• Moisy , F. , Tabeling , P. and Willaime , H. 1999 . Kolmogorov equation in a fully developed turbulence experiment . Phys. Rev. Lett. , 82 : 3994 – 3997 . doi: 10.1103/PhysRevLett.82.3994
   Web of Science ®Google Scholar
• Zhou , T. , Antonia , R. A. , Danaila , L. and Anselmet , F. 2000 . Approach to the four-fifths ùlawò for grid turbulence . J. Turbulence , 1 ( 5 ) : 1 – 12 .
   Google Scholar
• Lundgren , T. S. 2002 . Kolmogorov two-thirds law by matched asymptotic expansion . Phys. Fluids , 14 : 638 doi: 10.1063/1.1429965
   Web of Science ®Google Scholar
• Lundgren , T. S. 2003 . Linearly forced isotropic turbulence . CTR Annual Research Briefs , : 461 – 473 .
   Google Scholar
• Antonia , R. A. , Smalley , R. J. , Zhou , T. , Anselmet , F. and Danaila , L. 2003 . Similarity of energy structure functions in decaying homogeneous isotropic turbulence . J. Fluid Mech. , 487 : 245 – 269 . doi: 10.1017/S0022112003004713
   Web of Science ®Google Scholar
• Gagne , Y. and Castaing , B. 2004 . Reynolds dependence of third-order velocity structure functions . Phys. Fluids , 16 : 482 – 485 . doi: 10.1063/1.1639013
   Web of Science ®Google Scholar
• Antonia , R. A. and Burattini , P. 2006 . Approach to the 4/5 law in homogeneous isotropic turbulence . J. Fluid Mech. , 550 : 175 – 184 . doi: 10.1017/S0022112005008438
   Web of Science ®Google Scholar
• Tchoufag , J. , Sagaut , P. and Cambon , C. 2012 . Spectral approach to finite Reynolds number effects on Kolmogorov’s 4/5 law in isotropic turbulence . Phys. Fluids , 24 : 015107 doi: 10.1063/1.3678334
   Web of Science ®Google Scholar
• Kolmogorov , A. 1941 . The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers . Proc. USSR Acad. Sci. , 30 : 299 – 303 .
   Google Scholar
• Mydlarski , L. and Warhaft , Z. 1996 . On the onset of high-Reynolds-number grid-generated wind tunnel turbulence . J. Fluid Mech. , 320 : 331 – 368 . doi: 10.1017/S0022112096007562
   Web of Science ®Google Scholar
• Mydlarski , L. and Warhaft , Z. 1998 . Passive scalar statistics in high-Pćlet-number grid turbulence . J. Fluid Mech. , 358 : 135 – 175 . doi: 10.1017/S0022112097008161
   Web of Science ®Google Scholar
• Antonia , R. A. , Pearson , B. R. and Zhou , T. 2000 . Reynolds number dependence of second-order velocity structure functions . Phys. Fluids , 12 : 3000 – 3006 . doi: 10.1063/1.1314339
   Web of Science ®Google Scholar
• Antonia , R. A. , Zhou , T. and Xu , G. 2000 . Second-order temperature and velocity structure functions: Reynolds number dependence . Phys. Fluids , 12 : 1509 – 1517 . doi: 10.1063/1.870399
   Web of Science ®Google Scholar
• Anselmet , F. , Gagne , Y. , Hopfinger , E. J. and Antonia , R. A. 1984 . High-order velocity structure functions in turbulent shear flows . J. Fluid. Mech. , 140 : 63 – 89 . doi: 10.1017/S0022112084000513
   Web of Science ®Google Scholar
• Antonia , R. A. , Hopfinger , E. J. , Gagne , Y. and Anselmet , F. 1984 . Temperature structure functions in turbulent shear flows . Phys. Rev. , A 30 : 2704 – 2707 .
   Google Scholar
• Benzi , R. , Ciliberto , S. , Tripiccione , R. , Baudet , C. , Massaioli , F. and Succi , S. 1993 . Extended self similarity in turbulent flows . Phys. Rev. , E 48 : 29 – 32 .
   Google Scholar
• Kurien , S. and Sreenivasan , K. R. 2000 . Anisotropic scaling contributions to high-order structure functions in high-Reynolds-number turbulence . Phys. Rev. , E 62 : 2206 – 2212 .
   Google Scholar
• Antonia , R. A. and Pearson , B. R. 2000 . Effect of initial conditions on the mean energy dissipation rate and the scaling exponent . Phys. Rev. , E 62 : 8086 – 8090 .
   Google Scholar
• Oberlack , M. and Peters , N. 1993 . Closure of the two point correlation equation in physical space as a basis for Reynolds stress models . Applied Scientific Research , 51 : 533 – 538 . doi: 10.1007/BF01082587
   Google Scholar
• Danaila , L. and Antonia , R. A. 2009 . Spectrum of a passive scalar in moderate Reynolds number homogeneous isotropic turbulence . Phys. Fluids , 21 : 111702 doi: 10.1063/1.3264881
   Web of Science ®Google Scholar
• Danaila , L. , Antonia , R. A. and Burattini , P. 2012 . Comparison between kinetic energy and passive scalar energy transfer in locally homogeneous isotropic turbulence . Physica , D 241 : 224 – 231 .
   Google Scholar
• Kang , H. S. and Meneveau , C. 2002 . Universality of large eddy simulation model parameters across a turbulent wake behind a heated cylinder . J. Turbulence , 3 : 1 – 27 . doi: 10.1088/1468-5248/3/1/032
   Google Scholar
• Antonia , R. A. , Ould-Rouis , M. , Anselmet , F. and Zhu , Y. 1997 . Analogy between predictions of Kolmogorov and Yaglom . J. Fluid Mech. , 332 : 395 – 409 .
   Web of Science ®Google Scholar
• Sreenivasan , K. R. 1991 . On local isotropy of passive scalar in turbulent shear flows . Proc. R. Soc. London, Ser. , A 434 : 165 – 182 .
   Web of Science ®Google Scholar
• Obukhov , A. M. 1949 . The structure of the temperature field in a turbulent flow . Izv. Akad. Nauk. SSSR , 13 : 58
   Google Scholar
• Zhou , T. , Antonia , R. A. , Danaila , L. and Anselmet , F. 2000 . Transport equations for the mean energy and temperature dissipation rates in grid turbulence . Exp. Fluids , 28 : 143 – 151 . doi: 10.1007/s003480050018
   Web of Science ®Google Scholar
• Lee , S. K. , Benaissa , A. , Djenidi , L. , Lavoie , P. and Antonia , R. A. 2012 . Scaling range of velocity and passive scalar spectra in grid turbulence . Phys. Fluids , 24 : 075101 doi: 10.1063/1.4731295
   Google Scholar
• Warhaft , Z. and Lumley , J. L. 1978 . An experimental study of the decay of temperature in grid turbulence . J. Fluid Mech. , 88 : 659 – 684 . doi: 10.1017/S0022112078002335
   Web of Science ®Google Scholar
• Thiesset , F. , Danaila , L. and Antonia , R. A. 2013 . Dynamical effect of the total strain induced by the coherent motion on local isotropy in a wake . J. Fluid Mech. , 720 : 393 – 423 . doi: 10.1017/jfm.2013.11
   Web of Science ®Google Scholar
• Burattini , P. , Antonia , R. A. and Danaila , L. 2005 . Scale-by-scale energy budget on the axis of a turbulent round jet . J. Turbulence , 6 : 1 – 11 . doi: 10.1080/14685240500213744
   Google Scholar
• Pearson , B. 1999 . Experiments on Small-Scale Turbulence , NSW , , Australia : University of Newcastle .
   Google Scholar
• Stolovitzky , G. , Juneja , K. R. and Sreenivasan , A. 1993 . Scaling functions and scaling exponents in turbulence . Phys. Rev. , E 48 : R3217
   Google Scholar
• Antonia , K. R. and Sreenivasan , R. A. 1997 . The phenomenology of small-scale turbulence . Annu. Rev. Fluid Mech. , 29 : 435 – 472 . doi: 10.1146/annurev.fluid.29.1.435
   Web of Science ®Google Scholar
• Burattini , P. , Antonia , R. A. and Danaila , L. 2005 . Similarity in the far field of a turbulent round jet . Phys. Fluids , 17 : 025101 doi: 10.1063/1.1833414
   Web of Science ®Google Scholar