THE STRUCTURE AND DEVELOPMENT OF A WING-TIP VORTEX

Experiments have been performed on the tip vortex trailing from a rect angular NACA 0012 half-wing. Preliminary studies showed the vortex to be insensitive to the introduction of a probe and subject only to smal l wandering motions. Meaningful velocity measurements could therefore be made using hot-wire probes. Detailed analysis of the effects of wan dering was performed to properly reveal the flow structure in the core region and to give confidence in measurements made outside the core. A theory has been developed to correct mean-velocity profiles for the effects of wandering and to provide complete quantitative estimates of its amplitude and contributions to Reynolds stress fields. Spectral d ecomposition was found to be the most effective method of separating t hese contributions from velocity fluctuations due to turbulence. Outsi de the core the how structure is dominated by the remainder of the win g wake which winds into an ever-increasing spiral. There is no large r egion of axisymmetric turbulence surrounding the core and little sign of turbulence generated by the rotational motion of the vortex. Turbul ence stress levels vary along the wake spiral in response to the varyi ng rates of strain imposed by the vortex. Despite this complexity, the shape of the wake spiral and its turbulent structure reach an approxi mately self-similar form. On moving from the spiral wake to the core t he overall level of velocity fluctuations greatly increases, but none of this increase is directly produced by turbulence. Velocity spectra measured at the vortex centre scale in a manner that implies that the core is laminar and that velocity fluctuations here are a consequence of inactive motion produced as the core is buffeted by turbulence in t he surrounding spiral wake. Mean-velocity profiles through the core sh ow evidence of a two-layered structure that dies away with distance do wnstream.