Abstract
Measured second- and third-order moments of longitudinal and transverse velocity increments are examined for relatively large values of the Taylor microscale Reynolds number Rλ in highly turbulent shear flows. The results support an approach to a Kolmogorov-like inertial range only at very large values of Rλ. Correspondingly, the difference between inertial range power law exponents of longitudinal and transverse velocity structure functions continues to diminish as Rλ increases.