Maximum drag reduction in turbulent channel flow by polymer additives

난류 채널 유동에서 폴리머 첨가제에 의한 최대 항력감소

Maximum drag reduction (MDR) in turbulent channel flow by polymer additives is studied by direct numerical simulation. An Oldroyd-B model is adopted to express the polymer stress because it is believed that MDR is closely related to the elasticity of the polymeric liquids. The Reynolds number based on the bulk velocity and the channel height is 40000. MDR in the present study is $44{\%}$ and this is in a good agreement with the Virk's asymptote. Turbulence statistics are also in good agreements with the experimental observation. In the 'large drag reduction', the decrease of turbulent kinetic energy is compensated by the increase of energy transfer from the polymer to the flow. Therefore, MDR is a dynamic equilibrium state of the energy transfer between the polymer and the flow.