Taylor’s Hypothesis in High-order Turbulence Correlations

Taylor’s hypothesis states that a turbulence field will remain relatively ‘frozen’ within a flow, and as such evolve with respect to a convected variable. In this paper we show results from Large Eddy Simulations (LES) of a round jet at 4 operating points covering the parameter range of static temperature ratio (T R = 0.84, 1.0, 2.7) and acoustic Mach number (M a = 0.5, 0.9). Our results indicates that, remarkably, Taylor’s hypothesis provides an accurate estimation of the turbulence auto-correlation under an appropriate moving co-ordinate transformation.