Abstract
The problem of universal simulation of the dynamics of a turbulent velocity field (universal in the sense of arbitrary values of the Reynolds turbulence number) is treated on the basis of the moment model in the second approximation.
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Abbreviations
- ¯q2 ≡ ū 2i :
-
double the kinetic turbulence energy
- λ 2u =5v¯q2/ɛu :
-
Taylor turbulence scale squared
- ɛu=v<∂u1/∂xk)2>:
-
kinetic-energy dissipation function
- NRe,λ=√¯q2λu /ν:
-
Reynolds turbulence number
Literature cited
R. Dreissler, “On the decay of homogeneous turbulence before the final period,” Phys. Fluids,1, No. 2, 111–121 (1958).
V. E. Aerov, A. A. Bulavko, Yu. M. Dmitrenko, and B. A. Kolovandin, “Statistical coefficients of momentum and heat transfer in homogeneous turbulence,” in: Heat and Mass Transfer [in Russian], Vol. 1, Minsk (1972), pp. 35–44.
V. E. Aerov, A. A. Bulavko, Yu. M. Dmitrenko, and B. A. Kolovandin, “Statistical coefficients of velocity and temperature fields in homogeneous nonisotropic turbulence,” in: Turbulent Flow [in Russian], Nauka, Moscow (1974), pp, 154–157.
B. A. Kolovandin, A. A. Bulavko, Yu. M. Dmitrenko, and N. N. Luchko, “Simplest statistical characteristics of velocity field in turbulent stream,” in: Turbulent Boundary-Layer Flow [in Russian], Part 1, Novosibirsk (1975), pp. 152–164.
B. A. Kolovandin, A. A. Bulavko, and Yu. M. Dmitrenko, “Statistical coefficients of transfer in homogeneous velocity and temperature fields,” Int. J. Heat Mass Transfer, 19, 1405–1413 (1976).
N. M. Galin, “Calculation of turbulent-energy dissipation in streams of incompressible fluids,” Teplofiz. Vys. Temp.,14, No. 1, 124–131 (1976).
K. Hanjalic and B. E. Launder, “Contribution toward a Reynolds-stress closure for turbulence with low Reynolds number,” J. Fluid Mech.,74, 738–743 (1976).
W. C. Reynolds, “Computation of turbulent flows,” Ann. Rev. Fluid Mech.,8, 183–208 (1976).
M. K. Chung and R. J. Adrian, “Evaluation of variable coefficients in second-order turbulence models,” Proc. Eleventh Conf. on Turbulent Shear Flows, London (1979), pp. 1043–1048.
J. L. Lumley and G. R. Newman, “Return of isotropy of homogeneous turbulence,” J. Fluid Mech.,82, 161–178 (1977).
L. G. Loitsyanskii, “Some fundamental laws of isotropic turbulent flow,” Trans. Central Inst. Aerohydrodynamics [in Russian], No. 440, Moscow (1939).
P. G. Saffman, “Large-scale structure of homogeneous turbulence,” J. Fluid Mech.,27, 581–593 (1967).
G. Compte-Bellot and S. Corrsin, “Use of a contraction to improve the isotropy of gridgenerated turbulenee,” J. Fluid Mech.,25, 657–682 (1966).
M. Gad-El-Hak and S. Corrsin, “Measurements of the nearly isotropic turbulence behind a uniform jet grid,” J. Fluid Mech.,52, 115–143 (1974).
G. K. Batchelor and A. A. Townsend, “Decay of isotropic turbulence in the final period,” Proc. R. Soc.,A194, 527–543 (1948).
S. A. Orszag and G. S. Patterson, “Numerical simulation of three-dimensional homogeneous and isotropic turbulence,” Phys. Rev. Lett.,28, 76–79 (1972).
A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics, Vol. 2, MIT Press (1975).
D. C. Leslie, Developments in the Theory of Turbulence, Clarendon Press, Oxford (1973).
G. R. Newman and J. R. Herring, “A test-field model study of a passive scalar in isotropic turbulence,” J. Fluid Mech.,94, 163–194 (1979).
G. S. Glushko and V. D. Traskovskii, “A method of calculating the spectral energy density of homogeneous and isotropic turbulence,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 13–19 (1978).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 42, No. 1, pp. 46–52, January, 1982.
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Kolovandin, B.A., Luchko, N.N., Sidorovich, T.V. et al. Universal simulation of degenerating homogeneous turbulence. Journal of Engineering Physics 42, 36–40 (1982). https://doi.org/10.1007/BF00824988
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DOI: https://doi.org/10.1007/BF00824988