Breakdown of Frozen Motion of Vorticity Field and Vorticity Reconnection
Abstract
The perpendicular components to vorticity of the Laplacian of vorticity multiplied by the kinematic viscosity, ν(\nabla^{2}ω)_{\bot}, represents the rate of breakdown due to viscous effects of the frozen motion of vortex lines with fluid particles, whereas the parallel component, ν(\nabla^{2}ω)_{//}, represents the deviation of the stretching rates of vortex and fluid line elements. The spatial distributions of highvalue regions of these two components and vorticity are compared in detail in several analytical and numerical flows. It is found that ν(\nabla^{2}ω)_{//} takes large negative values typically inside highvorticity regions. On the other hand, ν(\nabla^{2}ω)_{\bot} is large where the highvorticity regions are interacting, which suggests that ν(\nabla^{2}ω)_{\bot} may serve as a good measure of the degree of vorticity reconnection.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 July 1991
 DOI:
 10.1143/JPSJ.60.2184
 Bibcode:
 1991JPSJ...60.2184K
 Keywords:

 Computational Fluid Dynamics;
 Flow Geometry;
 Turbulent Flow;
 Viscous Flow;
 Vortex Breakdown;
 Jet Flow;
 Laplace Equation;
 Spatial Distribution;
 Fluid Mechanics and Heat Transfer