Antonia R A, Smalley R J
Department of Mechanical Engineering, University of Newcastle, New South Wales 2308, Australia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Feb;63(2 Pt 2):025301. doi: 10.1103/PhysRevE.63.025301. Epub 2001 Jan 12.
Scaling-range power-law exponents of velocity and temperature structure functions are examined through the dimensional analysis framework of the refined similarity hypotheses using measurements in a variety of turbulent flows and Reynolds numbers. The resulting magnitude of the scaling exponent associated with the locally averaged energy dissipation rate epsilon(r) is always larger than 2/3, whereas the exponent for the locally averaged temperature 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 function exponents are inherently different.
通过精细相似性假设的量纲分析框架，利用各种湍流和雷诺数下的测量数据，研究了速度和温度结构函数的标度范围幂律指数。与局部平均能量耗散率ε(r)相关的标度指数的结果值总是大于2/3，而局部平均温度耗散率χ(r)的指数总是小于2/3。虽然ε(r)指数可能与速度结构函数的指数一致，但χ(r)和温度结构函数指数的分布本质上是不同的。
