Invariant local flow topology in transition into a vortex and property of its prediction

Abstract eng:
Local áow topology speciÖed by the velocity gradient tensor and features of corresponding physical properties are investigated in transition into a vortical áow. The swirlity that indicates the uniformity and intensity of azimuthal áow follows the transition process, and it shows that this property in the transition depends on two real eigenvalues of the tensor with the same sign, not on vorticity. Sourcity shows that the uniformity of the radial áow depends on both these eigenvalues and vorticity (shear) in the plane that becomes the swirl plane.

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