Abstract
In the flow over a smooth wall, the statistics of velocity and temperature, properly normalized, collapse (Reynolds' analogy); when the wall is rough, this analogy fails. Its failure has long been known to be due to the pressure gradient, which is absent in the scalar transport equation. A study examines how the geometrical features of the roughness affect the failure of the Reynolds' analogy, by focusing on the transport equations for temperature variance and turbulent kinetic energy.
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