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Approximations for steady-state isotropic turbulence. (English) Zbl 0133.21302

fluid mechanics
Full Text: DOI
[1] Kraichnan, J. Fluid Mech. 5 pp 497– (1959)
[2] Kraichnan, Phys. Fluids 7 pp 1048– (1964)
[3] Edwards, J. Fluid Mech. 18 pp 239– (1964)
[4] Equation (2.7) represents a difference in definition from Ref. 1. The change simplifies the writing of limits of time-integrals in the equations to follow. All limits may be written (-,), and (2.7) then automatically restricts the actual ranges to those in Ref. 1. Some other slight changes in notation and definitions from Ref. 1 should also be noted.
[5] Edwards invokes random driving forces with a white frequency spectrum. This corresponds to F(k), {\(\xi\)}(k) with Z(k) finite.
[6] Kraichnan, Phys. Fluids. 7 pp 1030– (1964)
[7] R. H. Kraichnan, inSecond Symposium on Naval Hydrodynamics, edited by R. Cooper (Publication ACR-38, Office of Naval Research-Department of the Navy, Washington, D.C., 1958).
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