Abstract
There is a long lasting discussion on universal properties of turbulence. The following questions arise: do turbulent properties change with the Reynolds number, or are they even dependent on the large scale properties of turbulence? An important feature would be that turbulence could be taken as universal below some scales. In this case, even for turbulent flows which are generated on a large scale by different processes, the same subgrid models can be used, an important aspect for numerical simulations. For large eddy simulations, it is essential to know the connections between larger scales and the unresolved subgrid turbulence. From this aspect it is important to get a profound understanding of the turbulent cascade, relating turbulent structures on different scales. Rigorous results on the turbulent cascade are still missing.
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
References
Friedrich, R., Peinke, J.: Description of a turbulent cascade by a Fokker–Planck equation. Phys. Rev. Lett. 78, 863 (1997)
Renner, C., Peinke, J., Friedrich, R., Chanal, O., Chabaud, B.: Universality of small scale turbulence. Phys. Rev. Lett. 89, 124502 (2002)
Stresing, R., Peinke, J.: Towards a stochastic multi-point description of turbulence. New J. Phys. 12, 103046 (2010)
Seifert, U.: Stochastic thermodynamics, fluctuation theorems and molecular machines. Rep. Prog. Phys. 75, 126001 (2012)
Seifert, U.: Entropy production along a stochastic trajectory and an integral fluctuation theorem. Phys. Rev. Lett. 95, 040602 (2005)
Nickelsen, D., Engel, A.: Probing small-scale intermittency with a fluctuation theorem. Phys. Rev. Lett. 110, 214501 (2012)
Stresing, R., Peinke, J., Seoud, R.E., Vassilicos, J.C.: Defining a new class of turbulent flows. Phys. Rev. Lett. 104, 194501 (2010)
Aronson, D., Löfdahl, L.: The plane wake of a cylinder. Measurements and inferences on the turbulence modeling. Phys. Fluids A 5, 1433 (1993)
Batchelor, G.K.: The Theory of Homogeneous Turbulence. Cambridge Science Classic. Cambridge University Press, Cambridge (1953)
Lück, St., Renner, Ch., Peinke, J., Friedrich, R.: The Markov–Einstein coherence length—a new meaning for the Taylor length in turbulence. Phys. Lett. A 359, 335–338 (2006)
Tutkun, M., Mydlarski, L.: Markovian properties of passive scalar increments in grid-generated turbulence. New J. Phys. 6, 49 (2004)
Nawroth, A.P., Peinke, J., Kleinhans, D., Friedrich, R.: Improved estimation of Fokker-Planck equations through optimisation. Phys. Rev. E. 76, 056102 (2007)
Kleinhans, D., Friedrich, R., Nawroth, A., Peinke, J.: An iterative procedure for the estimation of drift and diffusion coefficients of Langevin processes. Phys. Lett. A 346, 42–46 (2005)
Blickle, V., Speck, T., Helden, L., Seifert, U., Bechinger, C.: Thermodynamics of a colloidal particle in a time-dependent nonharmonic potential. Phys. Rev. Lett. 96, 070603 (2006)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Reinke, N., Nickelsen, D., Engel, A., Peinke, J. (2016). Application of an Integral Fluctuation Theorem to Turbulent Flows. In: Peinke, J., Kampers, G., Oberlack, M., Wacławczyk, M., Talamelli, A. (eds) Progress in Turbulence VI. Springer Proceedings in Physics, vol 165. Springer, Cham. https://doi.org/10.1007/978-3-319-29130-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-29130-7_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-29129-1
Online ISBN: 978-3-319-29130-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)