Open AccessInfluence of weighting function on accuracy of supersonic mixing layer wave-front variance estimation with linking equation
Author(s) -
Weiping Xie,
Junsheng Liu,
Jia-Le Fei,
Quan Zhou,
Hui Xia,
Xin Chen,
Pan Zhang,
Yiming Peng,
Yu Tao
Publication year - 2019
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.68.20182269
Subject(s) - supersonic speed , weighting , physics , mixing (physics) , mechanics , function (biology) , acoustics , quantum mechanics , evolutionary biology , biology
In aero optics, the linking equation proposed by Sutton is an important equation which can link the fluid-mechanic statistical parameters to the statistical optical degradation parameters. However, in the application of simplified linking equation (SLE) to subsonic flowfields, the weighting function is often ignored. The supersonic mixing layer flowfield is generated in the supersonic wind tunnel. The nanoparticle-based planar laser scattering technology is used to obtain the density field of flowfield. The optics errors between supersonic mixing layer wave-front variances calculated from the SLE and the generalized linking equation are analyzed. The results indicate the validity of using the SLE to estimate the wave-front variance of supersonic mixing layer flowfield. Moreover, the SLE with weighting function has better fitting accuracy than the SLE without weighting function. The weighting function for the application of SLE to the high correlated regions in the supersonic mixing layer is necessary.