Abstract

In this paper two things are done. (1) It is shown that the concept of a direct energy cascade is possible to be violated under specific circumstances as a consequence of dissipation process which initially takes place at Taylor microscales of the inertial subrange. (2) This work predicts, for the first time, the existence of isotropic turbulence at length scales smaller than that of Kolmogorov scales and that it never decays with time as long as the fluid is in motion. It should be remarked that no comparison with experiments searching for the proposed length scales can be made at present.

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