The isolated wingtip vortex is generated by an M6 wing under different angles of attack AoA and Reynolds numbers R e c , and is measured within 16 chord length downstream regions. Then, the spatiotemporal local linear stability analysis (LSA) is performed at the azimuthal wavenumber of m = 1 to analyze the instability characteristics. Experimental results show that the radial circulation of wingtip vortex satisfies a scaling formula. Moreover, the LSA results demonstrate that the instability characteristics, including the stability curve, growth rate eigenvalue spectrum, and perturbation mode, are uniformed in time and space, laying the basis for scaling the wingtip vortex by considering them. In this situation, by plotting the circulation-based Reynolds number R e Γ and dimensionless wandering amplitude σ / r c in log scale, it is found that they are in the form of log ( σ / r c ) = A Γ * log ( R e Γ ) + B Γ , where A Γ = 0.4 ± 0.15 and B Γ = 2.648 ± 1.60 . Particularly, along with the streamwise development, the swirl number of wingtip vortex asymptotically closes to the unstable region in the ( q , α ) plane defined by Fabre and Jacquin (Journal of Fluid Mechanics, Vol. 500, Jan. 2004, pp. 239–262). By considering the role of growth rate in the vortex wandering, an alternative scaling formula ( r c / σ ) 1 / 3 = A ω × ( ω i u rms T / r c ) + B ω , where A ω = ( 6.149 ± 2.00 ) × 10 4 and B ω = 1.497 ± 0.07 , is suggested to describe the wandering development.


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    Title :

    Scaling Analysis on the Dynamic and Instability Characteristics of Isolated Wingtip Vortex


    Contributors:
    Xiang, Yang (author) / Cheng, Ze-Peng (author) / Wu, Yi-Ming (author) / Liu, Hong (author) / Wang, Fuxin (author)

    Published in:

    AIAA Journal ; 59 , 12 ; 5198-5210


    Publication date :

    2021-07-19


    Size :

    13 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




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