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- W2000759384 abstract "A Fourier transform, both in space and time, is used to treat the Burgers one-dimensional model equation for homogeneous turbulence. A dynamical equation for the energy spectrum is obtained with the aid of the Bogoliubov-expansion method, with the assumption of a quasinormal distribution for the velocity field, and an initial state of fully developed turbulence. This equation shows explicitly the cascade of energy to the higher wave numbers. Also, the required conservation of energy, apart from viscous dissipation, is proved. Some numerical calculations are performed whereby the energy-spectrum function never assumes negative values for quite different initial spectra and Reynolds numbers. Further, a comparison is made with some other turbulence theories dealing with the Burgers equation." @default.
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- W2000759384 date "1969-11-01" @default.
- W2000759384 modified "2023-09-24" @default.
- W2000759384 title "A theory of homogeneous turbulence deduced from the Burgers equation" @default.
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- W2000759384 doi "https://doi.org/10.1016/0031-8914(69)90078-0" @default.
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