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Nature of Turbulence

  • Arkady TsinoberEmail author
Chapter

Abstract

The main dispute about the origins and nature of turbulence involves a number of aspects and issues in the frame of the dichotomy of deterministic versus random. In science this dispute covers an enormous spectrum of themes such as philosophy of science, mathematics, physics and the other natural sciences. Fortunately, we do not have to venture into this ocean of debate and opposing and intermediate opinions. This is mainly because (as it now stands) turbulence is described by the NSE which are purely deterministic equations with extremely complex behavior enforcing use of statistical methods, but this does not mean that the nature of such systems is statistical in any/some sense as frequently claimed. The bottom line is that turbulence is only apparently random: the apparently random behavior of turbulence is a manifestation of properties of a purely deterministic law of nature in our case adequately described by NSE. An important point is that this complex behavior does not make this law either probabilistic or indeterminate.

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Authors and Affiliations

  1. 1.School of Mechanical EngineeringTel Aviv UniversityTel AvivIsrael

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