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Improved k-ω-γ transition model considering distributed surface roughness

DOI: 10.1615/THMT-18.500
pages 507-518

M.C. Yang
School of aerospace engineering, Tsinghua University, Beijing, 100084, PR China

Zhixiang Xiao
School of Aerospace Engineering, Tsinghua University, Yifu building, Tsinghua University, 100084 Beijing, China


The original k-ω-γ transition model has been extended to take into account the effects of distributed surface roughness. Inspired by the work of Dassler et al., a transport equation for "roughness amplification" factor Ar, which depends on equivalent sand grain roughness height ks, has been introduced into the original model. According to the results of linear stability theory, the effective length scale of original k-ω-γ model is amplified through Ar, which could lead to enhanced 1st mode time scale and hence earlier transition. This method is strictly based on local variables as well as a solid physical foundation. Several cases including flat plates and wind turbine airfoils have been investigated and satisfactory results have been achieved.

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