Conversion time to heat of the vortices injected only initially is much longer than the ones in a well-developed equilibrium turbulence

In an equilibrium steady turbulence where vortices of a large size are constantly injected, the vortices are known to decay successively to the smaller eddies by splitting with a time constant of the order of the turnover time of each eddy. We studied in this paper how long the decay time is for a transient turbulence in which large eddies are injected only initially into an thermal equilibrium fluid system or into a fluid system of a fractal boundary with an average constant flow. We showed that the decay time of vortices in a transient turbulence is much longer than the turnover time of the eddies because of much weaker perturbation to the transient vortices compared to eddies in a well-developed equilibrium turbulence. It was suggested that the sea surface temperature anomaly observed in the northern pacific ocean in August, 2011 may be related to the large tsunami attack on east coast of Tohoku Japan caused by the 3.11 earth quakes of magnitude 9.0.