A universal relation between intermittency and dissipation within and beyond homogeneous isotropic turbulence
Fundamental quantities of turbulent flows, such as the dissipation \Vsix{parameter} $C_\varepsilon$ and the intermittency \Vsix{parameter} $\mu$, are examined in relation to each other for a broad class of inhomogeneous turbulent flows. In the context of the energy cascade, it is known that $C_\varepsilon$ reflects its basic overall properties, while $\mu$ quantifies the intermittency \Vsix{of} the cascade. Using an extensive hot-wire dataset of turbulent wakes, grid-generated turbulence, and an axisymmetric jet, we individually analyze these quantities as one-dimensional surrogates of the energy cascade, considering only data that exhibit consistent scaling behavior. We find that $\mu$ is inversely proportional to $C_\varepsilon$, offering a new empirical principle that bridges the gap between large and small scales in arbitrary turbulent flows. The generalized framework presented here recovers the established values and trends reported for homogeneous isotropic turbulence, and expands them to cover inhomogeneous situations.