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.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference6 articles.
1. Lorenz, E. N. 1972b Low-order models representing realizations of turbulence J. Fluid Mech. 55,545–563.
2. Lin, C. C. 1955 The Theory of Hydrodynamic Stability .Cambridge University Press.
3. Lorenz, E. N. 1972a Barotropic instability of Rossby wave motion J. Atmos. Sci. 29,257–264.
4. Fjøsrtoft, R. 1953 On the changes in the spectral distribution of kinetic energy for twodimensional nondivergent flow Tellus,5,225–230.
5. Lorenz, E. N. 1963 Deterministic nonperiodic flow J. Atmos. Sci. 20,130–141.
Cited by
77 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献