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- W2037211262 abstract "Two-dimensional incompressible motion is generated by a steady external body force varying sinusoidally with a transverse co-ordinate. Such flow is found to be unstable for Reynolds numbers greater than 2½, and under these conditions evolves towards a new steady state. This ‘steady-eddy’ state is itself unstable in a sense, and its breakdown suggests the catastrophic onset of a cascade of turbulence. The mechanics of this cascade can be represented by a kind of recursion system in which the turbulence dynamics of one scale is repeated in the next, and a law of turbulent stress results. The spectrum of kinetic energy generated by a steady input of momentum at a discrete wavelength shows a rapid decrease (as k −5 ) towards shorter wavelengths but a much slower decrease (as k ) towards longer wavelengths." @default.
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- W2037211262 date "1974-01-23" @default.
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- W2037211262 title "Two-dimensional turbulence near the viscous limit" @default.
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- W2037211262 doi "https://doi.org/10.1017/s0022112074000681" @default.
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