Literature cited
Th. von Karman and L. Howarth, “On the statistical theory of isotropic turbulence”, Proc. Roy. Soc., London,A 164, no. 917 (1938).
C. C. Lin, “On Taylor's hypothesis and the acceleration terms in the Navier—Stokes equations”, Quart. Appl. Math., vol. 10, no. 4 (1953).
St. Pantchev, “Nouveau système d'èquations dynamiques de la turbulence isotrope”, Compt. rend., vol. 251, no. 18 (1960).
M. D. Millionshchikov, “The theory of homogeneous isotropic turbulence”, Dokl. AN SSSR, vol. 32, no. 9 (1941).
S. Chandrasekhar, “A theory of turbulence”, Proc. Roy. Soc.,A 229, no. 1176 (1955).
H. W. Wyld, “Formulation of the theory of turbulence in an incompressible fluid”, Ann. Phys, vol 14. no. 2 (1961).
A. S. Monin and A. M. Yaglom, Statistical Hydromechanics, Part 2 [in Russian], Nauka, Moscow (1967).
J. W. Chamberlain and P. H. Roberts, “Turbulence spectrum in Chandrasekhar's theory”, Phys Rev., vol. 99, no. 6 (1955).
S. Chandrasekhar, “Theory of turbulence”, Phys. Rev., vol. 102, no. 4 (1956).
G. Backus, “The existence and uniqueness of the velocity correlation derivative in Chandrasekhar's theory of turbulence”, J. Math. Mech., vol. 6, no. 2 (1957).
D. G. Wentzel, “On the spectrum of turbulence”, Phys. Fluids, vol. 1, no. 3 (1958).
V. I. Smirnov and B. Sh. Shapiro, “The theory of space-time velocity correlation in isotropic turbulent flow”, Tr. TsAO, no. 78 (1967).
H. P. Robertson, “The invariant theory of isotropic turbulence”, Proc. Cambridge Philos. Soc., vol. 36, no. 2 (1940).
M. N. Repnikov, “The Karman-Howarth equation”, PMM, vol. 31, no. 2 (1967).
G. K. Batchelor and A. A. Townsend, “Decay of turbulence in the final period”, Proc. Roy. Soc.,A 194, no. 1039 (1948).
G. K. Batchelor, “Pressure fluctuations in isotropic turbulence”, Proc. Cambridge Philos. Soc., vol. 47, no. 2 (1951).
L. D. Landau and E. M. Lifshits, Continuum Mechanics [in Russian], Gostekhizdat, Moscow (1954).
S. Corrsin, “The decay of isotropic temperature fluctuations in an isotropic turbulence”, J. Aeronaut. Sci., vol. 18, no. 6 (1951).
Author information
Authors and Affiliations
Additional information
Translated from Izv. AN SSSR. Mekhanika Zhidkosti i Gaza, Vol. 5, No. 2, pp. 101–108, March–April, 1970.
The author thanks A. M. Yaglom for reviewing the manuscript, his interest in the study, and helpful comments.
Rights and permissions
About this article
Cite this article
Smirnov, V.I. Equations for isotropic turbulent-flow space-time correlation functions. Fluid Dyn 5, 259–266 (1970). https://doi.org/10.1007/BF01080242
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01080242