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  1. Elftrytub4:13 PM Dec 11th, 2008 from web
  2. These modes of behavior may all be observed in the familiar rotating-basin experiments, described by Fultz, et al. (1959) and Hide (1958).5:40 PM Dec 10th, 2008 from web
  3. Certain hydrodynamical systems exhibit steady-state flow patterns, while others oscillate in a regular periodic fashion.5:33 PM Dec 10th, 2008 from web
  4. Thus we shall be involved with the ultimate behavior of the solutions, as opposed to the transient behavior associated with arbitrary init5:33 PM Dec 10th, 2008 from web
  5. 85:32 PM Dec 10th, 2008 from web
  6. Ordinarily, however, nonperiodic solutions cannot readily be determined except by numerical procedures.5:32 PM Dec 10th, 2008 from web
  7. Under certain conditions the resulting flow is as symmetric and steady as the heating which gives rise to it.5:32 PM Dec 10th, 2008 from web
  8. Thus we shall be involved with the ultimate behavior of the solutions, as opposed to the transient behavior associated with arbitrary init5:32 PM Dec 10th, 2008 from web
  9. Such procedures involve replacing the continuous variables by a new finite set of functions of time, which may perhaps be the values of the5:32 PM Dec 10th, 2008 from web
  10. It is sometimes possible to obtain particular solutions of these equations analytically, especially when the solutions are periodic or in5:31 PM Dec 10th, 2008 from web
  11. Because instantaneous turbulent flow patterns are so irregular, attention is often confined to the statistics of turbulence, which, in con5:31 PM Dec 10th, 2008 from web
  12. Under certain conditions the resulting flow is as symmetric and steady as the heating which gives rise to it.5:27 PM Dec 10th, 2008 from web
  13. Ordinarily, however, nonperiodic solutions cannot readily be determined except by numerical procedures.5:27 PM Dec 10th, 2008 from web
  14. For certain purposes many systems may be treated as conservative systems, in which the total energy, or some other quantity, does not vary5:24 PM Dec 10th, 2008 from web
  15. Lack of periodicity is very common in natural systems, and is one of the distinguishing features of turbulent flow.5:24 PM Dec 10th, 2008 from web
  16. Because instantaneous turbulent flow patterns are so irregular, attention is often confined to the statistics of turbulence, which, in con5:23 PM Dec 10th, 2008 from web
  17. Ordinarily, however, nonperiodic solutions cannot readily be determined except by numerical procedures.5:23 PM Dec 10th, 2008 from web
  18. Such procedures involve replacing the continuous variables by a new finite set of functions of time, which may perhaps be the values of the5:23 PM Dec 10th, 2008 from web
  19. In this study we shall work with systems of deterministic equations which are idealizations of hydrodynamical systems.5:23 PM Dec 10th, 2008 from web
  20. Under certain conditions the resulting flow is as symmetric and steady as the heating which gives rise to it.5:23 PM Dec 10th, 2008 from web