341
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Scale-by-scale energy budget in fractal element grid-generated turbulence

&
Pages 540-554 | Received 14 Dec 2013, Accepted 12 Apr 2014, Published online: 02 Jun 2014

References

  • A.N. Kolmogorov, The local structure of turbulence in incompressible viscous fluids for very large Reynolds numbers, Dokl. Akad. Nauk SSSR 30 (1941), pp. 301–305.
  • A. Kolmogorov, Dissipation of energy in the locally isotropic turbulence, Dokl. Akad. Nauk SSSR 32 (1941), pp. 16–18.
  • L. Danaila, F. Anselmet, and R.A. Antonia, An overview of the effect of large-scale nonhomogeneities on small-scale turbulence, Phys. Fluids 14 (2002), pp. 2475–2484.
  • K.R. Sreenivasan,The passive scalar spectrum and the Obukhov– Corrsin constant, Phys. Fluids 8 (1996), pp. 189–196.
  • L. Danaila, F. Anselmet, T. Zhou, and R.A. Antonia, A generalization of Yaglom's equation which accounts for the large-scale forcing in heated decaying turbulence, J. Fluid Mech. 391 (1999), pp. 359–372.
  • L. Danaila, F. Anselmet, and T. Zhou, Turbulent energy scale-budget equations for nearly homogeneous sheared turbulence, Flow Turbul. Combust. 72 (2004), pp. 287–310.
  • P. Lavoie, P. Burattini, P. Djenidi, and R.A. Antonia, Effect of initial conditions on decaying grid turbulence at low Rλ, Exp. Fluids 39 (2005), pp. 865–874.
  • R.A. Antonia, R.J. Smalley, T. Zhou, F. Anselmet, and L. Danaila, Similarity of energy structure functions in decaying homogeneous isotropic turbulence, J. Fluid Mech. 487 (2003), pp. 245–269.
  • W.K. George, The decay of homogeneous isotropic turbulence, Phys. Fluids 4 (1992), pp. 1492–1509.
  • R.A. Antonia and P. Burattini, Approach to the 4/5 law in homogeneous isotropic turbulence, J. Fluid Mech. 550 (2006), pp. 175–184.
  • P. Lavoie, L. Djenidi, and R.A. Antonia, Effects of initial conditions in decaying turbulence generated by passive grids, J. Fluid Mech. 585 (2007), pp. 395–420.
  • D. Hurst and J.C. Vassilicos, Scalings and decay of fractal-generated turbulence, Phys. Fluids 19, 035103 (2007).
  • N. Mazellier and J.C. Vassilicos, Turbulence without Richardson–Kolmogorov cascade, Phys. Fluids 22, 075101 (2010).
  • P.C. Valente and J.C. Vassilicos, The decay of turbulence generated by a class of multiscale grids, J. Fluid Mech. 687 (2011), pp. 300–340.
  • P.C. Valente and J.C. Vassilicos, Universal dissipation scaling for nonequilibrium turbulence, Phys. Rev. Lett. 108, 214503 (2012).
  • P.A. Krogstad and P.A. Davidson, Freely decaying, homogeneous turbulence generated by multi-scale grids, J. Fluid Mech. 680 (2011), pp. 417–34.
  • P.A. Krogstad and P.A. Davidson, Near-field investigation of turbulence produced by multi-scale grids, Phys. Fluids 24, 035103 (2012).
  • R.J. Hearst and P. Lavoie, Decay of turbulence generated by a square-fractal-element grid, J. Fluid Mech. 741 (2014), pp. 567–584.
  • L.H. Benedict and R.D. Gould, Towards better uncertainty estimates for turbulence statistics, Exp. Fluids 22 (1996), pp. 129–136.
  • J. Mi, R.C. Deo, and G.J. Nathan, Fast-convergence iterative scheme for filtering velocity signals and finding Kolmogorov scales, Phys. Rev. E 71, 066304 (2005).
  • J.C. Wyngaard, Measurements of small-scale turbulence structure with hot wires, J. Phys. E Sci. Instruments 1 (1968), pp. 1105–1108.
  • Y. Zhu and R.A. Antonia, Effect of wire separation on X-probe measurements in a turbulent flow, J. Fluid Mech. 287 (1995), pp. 199–223.
  • Y. Zhu and R.A. Antonia, The spatial resolution of hot-wire arrays for the measurement of small-scale turbulence, Meas. Sci. Tech. 7 (1996), pp. 1349–1359.
  • R.J. Hearst, O.R.H. Buxton, B. Ganapathisubramani, and P. Lavoie, Experimental estimation of fluctuating velocity and scalar gradients in turbulence, Exp. Fluids 53 (2012), pp. 925–942.
  • R.A. Antonia and P. Orlandi, Similarity of decaying isotropic turbulence with a passive scalar, J. Fluid Mech. 505 (2004), pp. 123–151.
  • S. Rajagopalan, R.A. Antonia, and L. Djenidi, Effect of mesh grids on the turbulent mixing layer of an axisymmetric jet, Heat Transf. Eng. 34 (2013), pp. 1216–1225.
  • S. Corrsin, Turbulence: experimental methods, in Handbuch der Physik, S. Flügge and C. Truesdell eds., Springer, Berlin, 1963, pp. 524–589.
  • R.A. Antonia, M. Ould-Rouis, F. Anselmet, and Y. Zhu, Analogy between predictions of Kolmogorov and Yaglom, J. Fluid Mech. 332 (1997), pp. 395–409.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.