| The role of waves in turbulent flows has always garnered much attention. Wave turbulence theories have been applied, for example, to rotating flows, surface flows, conducting flows, quantum turbulence, and stratified flows, with varying degrees of success. Understanding the interplay between waves and eddies is of crucial importance to these problems. We show that by calculating energy spectra resolved in space and time, we can quantify the strength of the waves in different turbulent flows, and gain insight into their role. We present two examples. One is for rotating flows, where we can quantify the amount of energy in inertial wave modes versus energy in eddies. The other is superfluid turbulence, where we can obtain direct evidence of Kelvin waves. This analysis has also been performed in stratified where the effects of the large scale flow create Doppler shifting and Critical Layer instabilities, but these will not be shown here. |