Lagrangian analysis of the fluid transport induced by the interaction of two co-axial co-rotating vortex rings  

作　　者：Hai-yan Lin Yang Xiang Su-yang Qin Hui Xu Hong Liu 

机构地区：[1]J.C.wu center for aerodynamics,school of aeronautics and astronautics,shanghai jiao tong university,shanghai,200240,china

出　　处：《Journal of Hydrodynamics》2020年第6期1080-1090,共11页水动力学研究与进展B辑（英文版）

基　　金：Project supported by the of National Basic Research Development Program of China(973 Program,Grant No.2014CB744802);the National Natural Science Foundation of China(Grant Nos.91852106,91841303);the National Numerical Wind Tunnel Project(Grant No.NNW2019ZT4-B09).

摘　　要：In this paper,the fluid transport in the interaction of two co-axial co-rotating vortex rings are investigated.Vortex rings are generated using the piston-cylinder apparatus,and the resulting velocity fields are measured using digital particle image velocimetry.The interaction process is analysed by means of vorticity contour,as well by investigation of the Lagrangian coherent structures(LCSs)defined by the ridges of the finite-time Lyapunov exponent(FTLE).Experimental results demonstrate that two types of vortex interaction are identified,namely strong and weak interactions,respectively.For the strong interaction,the Lagrangian boundaries of the two vortex rings are merged together and form a flux window for fluid transport.For weak interaction,only the Lagrangian drift induced by the motion of the front vortex ring is observed and affects the Lagrangian boundary of the rear vortex ring.Moreover,the fluids transported in the strong interaction carry considerable momentum but no circulation.By contrast,there are nearly no fluxes occurring in the weak interaction.By tracking the variations of circulation and impulse occupied by the separated regions distinguished by the LCSs,it is found that the circulation nearly has no change,but the impulse occupied by vortex core region has significant change.In the strong interaction,the impulse of rear vortex ring decreases but the impulse of the front vortex ring increases.Based on the impulse law,it is speculated that the fluid force generated by the formation of the rear vortex rings can be enhanced.Therefore,the strong interaction between wake vortices can actually improve the propulsive efficiency of the biological systems by operating the formation of large-scale vortices.

关 键 词：Vortex rings Lagranagian coherent structures(LCSs) fluid transport 

分 类 号：O35[理学—流体力学]