Analysis of energy transport and dissipation rate in turbulent channel flow

Abstract

In k-ε model, the transport equation for turbulent energy k can be verified by DNS. However, the transport equation for dissipation rate ε does not necessarily correspond to the exact transport equation.
In this work, the energy transfer from low wavenumber part to high wavenumber part is considered as dissipation rate. Its transport equation is derived and the energy flow is examined using result of DNS in turbulent channel flow.
It is expected that the transport equation for dissipation rate ε can be verified and improved by this analysis.