Scale-by-scale energy transfers in bubbly flows
Variable density buoyancy-driven bubbly flows allow for multiple definitions of scale-dependent (or filtered) energy. A priori, it is not obvious which of these provide the most physically apt scale-by-scale budget. In the present study, we compare two such definitions, based on (a) filtered momentum and filtered velocity (Pandey et al., 2020), and (b) Favre filtered energy (Aluie 2013, Pandey et al., 2023). We also derive a Kármán-Howarth-Monin (KHM) relation using the momentum-velocity corr…
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