Abstract
The extended self-similarity or ESS method was applied to DNS data obtained in different flows, decaying isotropic turbulence and a fully developed turbulent channel flow, and shown to yield satisfactory estimates of the scaling exponents. In our view, ESS should be treated as a useful method though one which does not improve our understanding of the well documented departure from the Kolmogorov (1941a) scaling. The present results tend to confirm the importance of coherent structures in the context of this departure.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Antonia, R. A., Satyaprakash, B. R. and Chambers, A. J.: 1982. Reynolds number dependence of velocity structure functions in turbulent shear flows, Phys. Fluids, 25, 29–37.
Antonia, R. A. and Pearson, B. R.: 1997. Scaling exponents for turbulent velocity and temperature increments, Europhy. Lett. (submitted)
Antonia, R. A., Orlandi, P. and Romano, G. P.: 1998. Scaling of longitudinal velocity increments in a fully developed turbulent channel flow Physics of Fluids A (submitted)
Anselmet, F., Gagne, Y., Hopfinger, E. J. and Antonia, R. A.: 1984. Highorder velocity structure functions in turbulent shear flows, J. Fluid Mech., 140, 63–8
Benzi, R., Ciliberto, S., Tripiccione, R., Baudet, C., Massaioli, F. and Succi, S.: 1993. Extended self-similarity in turbulent flows, Phys. Rev. E, 48, R29–R32.
Benzi, R., Biferale, L., Ciliberto, S., Struglia, M. V. and Tripiccione, R.: 1995. On the intermittent energy transfer at viscous scales in turbulent flows, Europhy. Lett, 32, 709–713.
Boratav, O. N. and Pelz, R. B.: 1997. Structures and structure functions in the inertial range of turbulence, Phys. Fluids, 9, 1400–1415.
Camussi, R., Barbagallo, D., Guj, G. and Stella, F.: 1996. Transverse and longitudinal scaling laws in non-homogeneous low Re turbulence, Phys. Fluids, 8, 1181–1191.
Chen, S., Sreenivasan, K. R., Nelkin, M. and Cao, N.: 1997. A refined similarity hypothesis for transverse structure functions, Phys. Rev. Lett., 79, 1253–1256.
Jimenez, J., Wray, A. A., Saffman, P. G. and Rogallo, R. S.: 1993. The structure of intense vorticity in homogeneous isotropic turbulence, J. Fluid Mech., 255, 65–90.
Kolmogorov, A. N.: 1941a. Local structure of turbulence in an incompressible fluid for very large Reynolds numbers, Dokl. Akad. Nauk. SSSR, 30, 299–303.
Kolmogorov, A. N.: 1941b. Energy dissipation in locally isotropic turbulence, Dokl. Akad. Nauk. SSSR, 32, 19–21.
Pearson, B. R. and Antonia, R. A.: 1997. Velocity structure functions in a turbulent plane jet, Eleventh Symposium on Turbulent Shear Flows, Grenoble.
She, Z. S., Jackson, E. and Orszag, S. A.: 1990. Intermittent vortex structures in homogeneous isotropic turbulence, Nature, 344, 226–228.
Sreenivasan, K. R. and Antonia, R. A.: 1997. The phenomenology of small-scale turbulence, Ann. Rev. Fluid Mech., 29, 435–472.
Stolovitzky, G. and Sreenivasan, K. R.: 1993. Scaling of structure functions, Phys. Rev. E, 48, R33–R36.
Vasilenko, V. M., Lyubimtsev, M. M. and Ozmidov, R. V.: 1975. Fluctuations of the turbulent energy dissipation rate and of the higher-order structure functions of the velocity field in the ocean, Iz. Atmos. Ocean. Phys., 11, 926–932.
Vincent, A. and Meneguzzi, M.: 1991. The spatial structure and statistical properties of homogeneous turbulence, J. Fluid Mech., 225, 1–20.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Basel AG
About this paper
Cite this paper
Orlandi, P., Antonia, R.A., Esposito, P.G. (1999). Structure functions in homogeneous and non-homogeneous turbulent flows. In: Gyr, A., Kinzelbach, W., Tsinober, A. (eds) Fundamental Problematic Issues in Turbulence. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8689-5_32
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8689-5_32
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9730-3
Online ISBN: 978-3-0348-8689-5
eBook Packages: Springer Book Archive