On one property of Lamb vector in isotropic turbulent flow

It is shown that the potential part of Lamb vector λ = ωXu, ω = ∇Xu, where u is an isotropic Gaussian solenoidal random field, is much larger than its solenoidal part. This result shows that purely kinematic properties of turbulent flow can lead to essential reduction of its nonlinearity and thereby to impose considerable constraints on flow dynamics and topology.