Determination of von Karman's constant using group theoretic methods

• Autorzy: Avramenko A. A. , Basok B. I. , Kuznetsov A. V.
• Języki publikacji: EN

Abstrakty

EN

The goal of this research is to obtain a theoretical value of von Karaman's constant from the first principaIs by utilizing renormalization group (RG) results. Fourier decomposition obtained in RG theory of turbulence is considered in the limit of small wavenumbers. Utilizing RG results, a theoretical value of the coefficient in the dissipation rate equation is also obtained.

Słowa kluczowe

EN

renormalization groups; Fourier decomposition; turbulenec modeling; von Karaman's constant

PL

hydrodynamika; turbulencja

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2007
• Tom: Vol. 12, no 2
• Strony: 329--335
• Opis fizyczny: Bibliogr. 19 poz., tab.

Twórcy

autor

Avramenko A. A.

autor

Basok B. I.

autor

Kuznetsov A. V.

• Institute of Engineering Thermophysics, National Academy of Sciences Kiev 03057, UKRAINE,

Bibliografia

• Canuto V.M. and Dubovikov M.S. (1997): A new approach to turbulence. - Int. J. Modern Phys., vol.12, pp.3121-3152.
• Eyink G.L. (1994): The renormalization group method in statistical hydrodynamics. - Phys. Fluids, vol.6, pp.3063-3078.
• Forster D., Nelson D.R. and Stephen M.J. (1977): Large-distance and long-time properties of a randomly stirred fluid. - Physical Review A, vol.16, pp.732-749.
• Hinze J.O. (1976): Turbulence. - London: McGraw-Hill.
• Kraichnan R.H. (1971): Inertial-range transfer in two- and tree-dimensional turbulence. - J. Fluid Mech., vol.47, part 3, pp.525-535.
• Leslie D.C. (1973): Developments in the theory of turbulence. - London: Oxford University Press.
• McComb W.D. (1990): The physics of Fluid Turbulence. - Oxford: Clarendon Press.
• McComb W.D. (2006): Asymptotic freedom, non-Gaussian perturbation theory, and the application of renormalization group theory to isotropic turbulence. - Physical Review E, vol.73, 026303, pp.1-7.
• McKeon B.J., Li J., Jiang W., Morrison J.F. and Smits A.J. (2004): Further observations on mean velocity distribution in fully developed pipe flow. - J. Fluid Mech., vol.501, pp.135-147.
• Oberlack M. (1999): Similarity in non-rotating and rotating turbulent pipe flows. - J. Fluid Mech., vol.379, pp.1-22.
• Oberlack M. (2000): Asymptotic expansion, symmetry groups, and invariant solutions of laminar and turbulent wall-bounded flows. - ZAMM, vol.80, pp.791-800.
• Oberlack M. (2001): Unified approach for symmetries in parallel turbulent shear flows. - J. Fluid Mech., vol.427, pp.299-328.
• Österlund J.M., Johansson A.V., Nagib H.M. and Hites M.H. (2000): A note on the overlap region in turbulent boundary layers. - Physics of Fluids, vol.12, pp.1-4.
• Saveliev V.L. and Gorokhovski M.A. (2005): Group-theoretical model of developed turbulence and renormalization of the Navier-Stokes equation. - Physical Review E, vol.72, 016302, pp.1-6.
• Schlichting H. (1979): Boundary-layer theory. - 7th ed. New York: McGraw-Hill.
• Teodorovich E.V. (1994): To the Yakhot-Orszag turbulence theory. - Mekhanika Zhidkosti i Gaza, vol.6, pp.40-51, in Russian.
• Yakhot V. and Orszag S.A. (1986): Renormalization group analysis of turbulence. I. Basic theory. - J. Sci. Соmp., vol.1, pp.3-51.
• Yakhot V., Orszag S.A., Thahgam S., Gatski T.B. and Speziale C.G. (1992): Development of turbulence models for shear flows by double expansion technique. - Phys. Fluids A, vol.4, pp.1510-1520.
• Zanoun E.-S., Nagib H., Durst F. and Monkewitz P. (2002): High Reynolds number channel data and their comparison to recent asymptotic theory (Invited). - AIAA Paper 2002-1102, A02-14297.