Experimental study of the instability of unequal-strength counter-rotating vortex pairs

被引:73
作者
Ortega, JM [1 ]
Bristol, RL [1 ]
Savas, Ö [1 ]
机构
[1] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA
关键词
D O I
10.1017/S0022112002002446
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A rapidly growing instability is observed to develop between unequal-strength counter-rotating vortex pairs. The vortex pairs are generated in a towing tank in the wakes of wings with outboard triangular flaps. The vortices from the wing tip and the inboard tip of the flap form the counter-rotating vortex pair on each side of the wing. The flow fields are studied using flow visualization and particle image velocimetry. Both chord-based and circulation-based Reynolds numbers are of O(10(5)). The circulation strength ratios of the flap- to tip-vortex pairs range from -0.4 to -0.7. The initial sinuous stage of the instability of the weaker flap vortex has a wavelength of order one wing span and becomes observable in about 15 wing spans downstream of the wing. The nearly straight vortex filaments first form loops around the stronger wing-tip vortices. The loops soon detach and form rings and move in the wake under self-induction. These vortex rings can move to the other side of the wake. The subsequent development of the instability makes the nearly quasi-steady and two-dimensional wakes unsteady and three-dimensional over a distance of 50 to 100 wing spans. A rectangular wing is also used to generate the classical wake vortex pair with the circulation ratio of -1.0, which serves as a reference flow. This counter-rotating vortex pair, under similar experimental conditions, takes over 200 spans to develop visible deformations. Velocity, vorticity and enstrophy measurements in a fixed plane, in conjuction with the flow observations, are used to quantify the behaviour of the vortex pairs. The vortices in a pair initially orbit around their vorticity centroid, which takes the pair out of the path of the wing. Once the three-dimensional interactions develop, two-dimensional kinetic energy and enstrophy drop, and enstrophy dispersion radius increases sharply. This rapid transformation of the wake into a highly three-dimensional one offers a possible way of alleviating the hazard posed by the vortex wake of transport aircraft.
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页码:35 / 84
页数:50
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