Graphical visualization of vortical flows by means of helicity

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Abstract

Helicity density and normalized helicity are introduced as important tools for the graphical representation of three-dimensional flowfields that contain concentrated vortices. The use of these two quantities filters out the flowfield regions of low vorticity, as well as regions of high vorticity but low speed where the angle between the velocity and vorticity vectors is large (such as in the boundary layer). Their use permits the researcher to identify and accentuate the concentrated vortices, differentiate between primary and secondary vortices, and mark their separation and reattachment lines. The method also allows locating singular points in the flowfield and tracing the vortex-core streamlines that emanate from them. Nomenclature H = helicity Hd = helicity density Hn — normalized helicity MOO = freestream Mach number ReD = Reynolds number V = velocity a = angle of attack co = vorticity

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