题目一:Energy spectra power laws and vortical structures
内容摘要:In fluid dynamics the equations describing the flow physics are known, these are derived on solid principles and have been confirmed by reproducing laboratory experiments. Even if the model is true still in fluid mechanics several aspects are not completely understood. These equations generate energy spectra with a wide distribution in wave numbers, whose origin is related to the non-linearity of the Euler and Navier-Stokes equations. In real flows a wide power law is achieved when the Reynolds number is large, for instance in turbulent flows, where, the Kolmogorov theory for Re→∞ predicts a k??
-5/3 power law. The aim of the present work is to continue the effort that promoted several studies to investigate whether it is possible to relate the exponents of the power law to the shape of the vortical structures. In turbulent flows the inertial range is followed by an exponential decay range. In these circumstances the large scales are immersed in a sea of small scales, and the structures can be rod- or ribbon-like . To have fully turbulent flows the number of