“…This peak value (i.e., σ u ,max / u * ) has been called a “universal constant” [ Nezu and Nakagawa , 1993] and typical values range from 2.2 to 2.8. Most studies, however, have focused on small relative roughness, i.e., h ≫ k s [ Kironoto and Graf , 1994; Song et al , 1994; Wang and Dong , 1996; Nikora and Goring , 2000; Tachie et al , 2000, 2004; Wu and Yang , 2004] or hydraulically smooth beds [e.g., Nezu and Rodi , 1986]. We are aware of only four studies that have measured σ u ,max / u * for a wide range of relative roughness [ Bayazit , 1975; Wang et al , 1993; Dittrich and Koll , 1997; Carollo et al , 2005].…”