New low-Reynolds-number k-ε model for turbulent flow over smooth and rough surfaces

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A new low-Reynolds-number k-ε model is proposed to simulate turbulent flow over smooth and rough surfaces. The rough surfaces model is developed by including the equivalent sand-grain roughness height into the model functions. The proposed model is tested against various experiments including fully developed and developing flows in smooth wall circular pipes and square ducts, Nikuradse's rough wall circular pipe experiment and a new rectangular channel experiment with smooth and rough surfaces. The results show that the proposed model can predict the log-law velocity profile for both smooth and rough walls. The predicted other properties such as friction factors, turbulent kinetic energy and turbulent dissipation rate also reasonably agree with the experimental data.

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Winter Annual Meeting of the American Society of Mechanical Engineers

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