Abstract
Recent results (Gerolymos and Vallet 2016 J. Fluid Mech. 807 386–418) have provided data for the terms in the transport equations for the components of the dissipation tensor in low-Reynolds turbulent plane channel flow. The present paper extends the previous results by a detailed analysis of the behaviour of various mechanisms in the -transport equations (production, diffusion, redistribution, destruction), with particular emphasis on the component-by-component comparison with the corresponding mechanisms in the transport equations for the Reynolds-stresses rij. The splitting of the pressure terms for the wall-normal components into redistribution and pressure-diffusion reveals substantially different behaviour near the wall. The wall-asymptotics of different terms in the transport equations are studied in detail, and examined using the data. Both data and wall-asympotic analysis show that the anisotropy of the destruction-of-dissipation tensor is fundamentally different from that of rij or , never approaching the two-component state at the solid wall.
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