“…The first quantity to the right of τ is the mean residence time derived by Langmuir (1908), the second quantity to the right of τ is the predictive mean residence time formulated by Uijttewaal et al (2001), and the entrainment hypothesis assumes that E = k U . The entrainment coefficient has a range of variability (between 0.01 and 0.04) based on field and experimental studies (Valentine and Wood, 1977;Seo and Maxwell, 1992;Wallast et al, 1999;Uijttewaal et al, 2001;Kurzke et al, 2002;Weitbrecht and Jirka, 2001b;McCoy et al, 2006;Hinterberger et al, 2007;Chang et al, 2007;Weitbrecht et al, 2008;Constantinescu et al, 2009;Jackson et al, 2012). The range of variability measured for the entrainment coefficient is due to the exclusion of parameters, such as streambed roughness, lateral cavity shape, and vegetative drag (Jackson et al, 2012).…”