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On the breaking of mirror symmetry in homogeneous isotropic turbulence-helicity effect. (English) Zbl 0981.76037

Summary: In homogeneous isotropic turbulence when reflexional (or mirror) symmetry breaks down, it becomes necessary to take into account additional fundamental invariants in constructing correlation tensors of different orders that characterize the flow. The helicity plays an important role in such situation. Attention is paid here, in particular, to the construction of invariant two-point second- and third-order correlation tensors that describe the fluctuating pressure, velocity and external force fields. Utilizing these second- and third-order tensors, we determine the two-point vorticity-vorticity and acceleration-acceleration correlations, separately illustrating the effects of helicity on them.

MSC:

76F05 Isotropic turbulence; homogeneous turbulence
76D05 Navier-Stokes equations for incompressible viscous fluids
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