New Scenario of Turbulence Theory and Wall Turbulence

Abstract eng:
New general scenario of turbulence theory is proposed and applied to wall turbulence. The theory introduces a new wave field supported by a mathematical theorem, and predicts transverse traveling waves. The predictions are consistent with characteristic features of wall turbulence observed in experimental studies. There is a dynamical mechanism in streaky wall flows to excite a wave field, and there exists an energy channel fiom the flow field to the wave field. Traveling waves predicted by the theory are characterized by two scales of wave-length and damping-length, whose significance is discussed in relation to the two large scales of LSM and VLSM observed in experiments. The waves are accompanied with a new mechanism of energy dissipation, i.e. a new law of internal friction analogous to the Joule effect of electric current. Bulk energy dissipation is expressed in a form analogous to those of eddy-viscosity.

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