Experimental test of revised similarity hypotheses without Taylor's hypothesis.

The refined similarity hypotheses (RSH) and their extension to passive scalar (RSH-P) are tested experimentally using simultaneous velocity and scalar data in a turbulent jet. Different from the single-point hot-wire probe in a previous experimental test, a combined particle image velocimetry and planar laser induced fluorescence technique enable us to obtain the test data without applying Taylor's hypothesis. RSH is successfully validated with direct examinations of its three hypotheses. RSH-P is partially supported, where the hypothesis of independent behavior of the stochastic variable υ(θ) is not supported. The conditional probability density functions (PDFs) of υ and υ(θ) cannot be described by Gaussian distributions when Re(r)<5 for υ and Re(r)<300 for υ(θ), and their Gaussian peaks converge when Re(r)>100 for υ and Re(r)>1000 for υ(θ). In addition, the bimodal behavior of the PDFs and oscillations at small r in previous experimental tests are not observed in this study.