Abstract
In this paper we show that the role of kinematic relationships in the issue of nonlocality goes far beyond their use in the nonlocal interpretation of the Kolmogorov 4/5 law and applicable also to general stochastic processes, unrelated to the N-S equation.We put special emphasis on this aspect pointing to a large number of such relations for the structure functions expressed via terms all of which have the form of correlations between large- and small-scale quantities, and giving examples of their experimental verification at large Reynolds numbers in field and airborne experiments.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Gulitski, G., Kholmyansky, M., Kinzelbach, W., Lüthi, B., Tsinober, A., Yorish, S.: Velocity and temperature derivatives in high-Reynolds-number turbulent flows in the atmospheric surface layer. Part 1. Facilities, methods and some general results. J. Fluid Mech. 589, 57–81 (2007)
Hosokawa, I.: A Paradox concerning the refined similarity hypothesis of Kolmogorov for isotropic turbulence. Prog. Theor. Phys. 118, 169–173 (2007)
Kholmyansky, M., Tsinober, A.: Kolmogorov 4/5 law, nonlocality, and sweeping decorrelation hypothesis. Phys. Fluids 20, 041704/1–4 (2008)
Kholmyansky, M., Sabelnikov, V., Tsinober, A.: New developments in field experiments in ASL: Kolmogorov 4/5 law and nonlocality. In: 18th AMS Symposium on Boundary Layers and Turbulence, Stockholm, June 9–12 (2008), http://ams.confex.com/ams/pdfpapers/139408.pdf
Kolmogorov, A.N.: Dissipation of energy in locally isotropic turbulence. Dokl. Acad. Nauk SSSR 32, 19–21 (1941); for English translation see: Selected works of A. N. Kolmogorov, I, Tikhomirov, V.M. (ed.), pp. 324–327. Kluwer, Dordrecht (1991)
Monin, A.S., Yaglom, A.M.: Statistical Fluid Mechanics. In: Lumley, J. (ed.), vol. 2. MIT Press, Cambridge (1975)
Sabelnikov, V.: Obtained a number of kinematic relations between Δu = (u 2 − u 1), u 1= u(x) and u 2= u(x + r): Two presentations made in Laboratoire de mecanique des fluids et d’acoustique, Ecole centrale de Lyon: 1) Large Reynolds-Number Asymptotics of Karman–Howarth Equation, May 26; 2) Kolmogorov’s local isotropy turbulence theory: state-of-the art, June 27 (1994)
Tsinober, A.: An Informal Introduction to Turbulence. Kluwer, Dordrecht (2001)
Tsinober, A.: Nonlocality in turbulence. In: Donnelly, R.J., Winen, W.F., Barenghi, C. (eds.) Quantized Vortex Dynamics and Superfluid Turbulence, pp. 389–395. Springer, New York (2001)
Tsinober, A.: Nonlocality in turbulence. In: Gyr, A., Kinzelbach, W. (eds.) Sedimentation and Sediment Transport: At the Crossroads of Physics and Engineering, pp. 11–22. Kluwer Academic, Dordrecht (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kholmyansky, M., Sabelnikov, V., Tsinober, A. (2010). Local versus Nonlocal Processes in Turbulent Flows, Kinematic Coupling and General Stochastic Processes. In: Deville, M., Lê, TH., Sagaut, P. (eds) Turbulence and Interactions. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14139-3_26
Download citation
DOI: https://doi.org/10.1007/978-3-642-14139-3_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14138-6
Online ISBN: 978-3-642-14139-3
eBook Packages: EngineeringEngineering (R0)