Anomalous scaling and anisotropy in turbulence

Using realtime signal processing techniques it is possible to obtain precise values for the scaling exponents zeta(p) of high-order structure functions. The value of these exponents differs from the Kolmogorov 1941 prediction, that they are anomalous. This anomalous behavior has been firmly confirmed in our experiments where it has been seen in structure functions which show convincing scaling behavior and that have a high statistical accuracy. The advantage of performing experiments in laboratory windtunnel turbulent flows is that development of detector technology is relatively easy. As a result, we have been able to measure transverse structure functions using a line of velocity probes. Such a configuration obviates usage of Taylor's hypothesis. Also the scaling of the transverse structure functions is anomalous. However, the transverse exponent zeta(T)(P) is significantly different from the standard longitudinal exponent zeta(L)(p): scaling anomaly is non-isotropic. We speculate about the meaning of this result.