Anomalous scaling of velocity and temperature structure functions - art. no. 025301

Scaling-range power-law exponents of velocity and temperature structure fun ctions are examined through the dimensional analysis framework of the refin ed similarity hypotheses using measurements in a variety of turbulent flows and Reynolds numbers. The resulting magnitude of the scaling exponent asso ciated with the locally averaged energy dissipation rate epsilon (r) is alw ays larger than 2/3, whereas the exponent for the locally averaged temperat ure dissipation rate chi (r) is always smaller than 2/3. While the epsilon (r) exponent may be reconciled with the exponent of the velocity structure function, the distributions of the chi (r) and temperature structure functi on exponents are inherently different.