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On some problems in mathematical modeling of turbulent flow

Burnat M., Moszyński K.

Journal of Technical Physics

2007

Vol. 48, no 3-4

171-192

The paper presents a new, rather elementary mathematical model of turbulent fluid flow with intensive self-mixing. The flow is described in this model by the (in general non-invertible) mappings Φt,t0 : ω -->S(t, t0,ω), ω, S ⊂ R³, t > t0, such that ◛ ∩ ω² = ∅ in general not implies S(t, to, ◛) ∩ S(t, t0, ω²) = ∅. This modeling allows a new approach to certain problems of turbulent flow. For example, there are possibilities of describing the unpredictable explosions of turbulence in a calm, laminar flow.