By Victor N. Nikolaevskiy
Turbulence idea is among the so much fascinating components of fluid mechanics and lots of notable scientists have attempted to use their wisdom to the advance of the speculation and to provide valuable ideas for resolution of a few sensible difficulties. during this monograph the writer makes an attempt to combine many particular methods into the unified conception. the elemental premise is the straightforward concept that a small eddy, that's a component of turbulent meso-structure, possesses its personal dynamics as an item rotating with its personal spin pace and obeying the Newton dynamics of a finite physique. a few such eddies fills a coordinate mobile, and the angular momentum stability needs to be formulated for this spatial phone. If the phone coincides with a finite distinction aspect at a numerical calculation and if the exterior size scale is huge, this easy quantity may be regarded as a differential one and a continuum parameterization should be used. Nontrivial angular stability is a outcome of the asymmetrical Reynolds tension motion on the orientated facets of an straight forward quantity. initially look, the averaged dyad of pace parts is symmetrical, == although, if averaging is played over the aircraft with common nj, the main of commutation is misplaced. for this reason, the strain tensor asymmetry j depends upon different elements that perform the angular momentum stability. this can be the single danger to figure out a rigidity in engineering.
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