Energy Flux in Turbulence

This lecture delves into the Kalman-Howard-Monen relation, explaining its significance in turbulence theory. The instructor discusses the divergence of the third-order structure function, the epsilon term, and the common Howard-Mohnen relation. By exploring the energy flux through wave number k and the scale-by-scale energy budget, the lecture demonstrates how the physical space energy flux and the global energy balance are interconnected. The instructor also highlights the relationship between the energy flux term and the third-order structure function, showcasing how the energy flux becomes a function of the third moment of velocity differences in the flow, leading to a deeper understanding of turbulence dynamics.