Stochastic Estimation of Large Structures in an Incompressible Mixing Layer

High-vector density planar velocity fields were obtained for an incompressible mixing layer using particle image velocimetry (PIV) for the purpose of determining spatial correlations of velocity fluctuations and linear stochastic estimates of the large-scale structures. The linear stochastic estimates were calculated based on the deformation tensor. The velocity ratio of the mixing layer was 0.575, and the density ratio was unity. At the location where the PIV images were obtained, Re x = 1.8 × 10 5 , Reδ ω = 1.1 × 10 4 , and the pairing parameter was Rx/λ = 8