Mach Number Effect of Compressible Turbulent Flow through a Square Duct with Adiabatic Wall

The compressible turbulent flows through a square duct constituted by three isothermal walls and an adiabatic wall at Re=1000 are investigated using the direct numerical simulation. The flow pattern and number of the secondary circulation drastically changes as the Mach number (M) increases, This behavior is similar to the previous low-Reynolds-number result. In the bulk-energy budget, the work between the internal and turbulent energy becomes large and the viscous heat generation is suppressed at the large Mach number case. The turbulence structures are strongly influenced by adiabatic wall at large M.