Abstract
The practical significance of the established generalized differential formula-tion of the first law of thermodynamics (formulated for the rotational coor-dinate system) is evaluated (for the first time and for the mesoscale oceanic eddies) by deriving the general (viscous-compressible-thermal) and partial (incompressible, viscous-thermal) local conditions of the tidal maintenance of the quasi-stationary energy and dissipative turbulent structure of the mesoscale eddy located inside of the individual fluid region of the ther-mally heterogeneous viscous (compressible and incompressible, respective-ly) heat-conducting stratified fluid over the two-dimensional bottom topog-raphy characterized by the horizontal coordinate x along a horizon-tal axis X. Based on the derived partial (incompressible) local condition (of the tidal maintenance of the quasi-stationary energy and viscous-thermal dis-sipative turbulent structure of the mesoscale eddy) and using the calculated vertical distributions of the mean viscous dissipation rate per unit mass and the mean thermal dissipation rate per unit mass in four regions near the observed mesoscale (periodically topographically trapped by nearly two-dimensional bottom topography h(x) eddy located near the northern region of the Yamato Rise in the Japan Sea, the combined analysis of the energy structure of the eddy and the viscous-thermal dissipative structure of turbulence is presented. The convincing evidence is presented of the tidal mechanism of maintenance of the eddy energy and viscous-thermal dissipa-tive structure of turbulence (produced by the breaking internal gravity waves generated by the eddy) in three regions near the Yamato Rise subjected to the observed mesoscale eddy near the northern region of the Yamato Rise of the Japan Sea.
Highlights
It is well known that the problem of turbulence is “the last great unsolved problem of classical physics” [1], the solution of which has the practical significance for humankind
We derived [5] the formula for the macroscopic kinetic energy per unit mass εk generalizing the classical expression εk= εt + εr [3] [4] by taking into account the shear component of the macroscopic continuum motion related with the rate of strain tensor eij [1] [5]
The macroscopic kinetic energy per unit mass εk is presented [5] as the sum of the macroscopic translational kinetic energy per unit mass εt [3] [4] [5] [6] and three Galilean invariants: the classical macroscopic internal rotational kinetic energy per unit mass εr [3] [4], the established [5] macroscopic non-equilibrium internal shear kinetic energy per unit mass εs and the established [5] macroscopic non-equilibrium internal kinetic energy of a shear-rotational coupling per unit mass ε coup s,r with a small correction εres
Summary
It is well known that the problem of turbulence is “the last great unsolved problem of classical physics” [1], the solution of which has the practical significance for humankind.
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