Phillips and Ingersoll (1998) presented equations for determining the Manning’s roughness factor for gravel-bed streams using the relative roughness defined as (R/d50) where R is the hydraulic radius and d50 is the median grain size. The equation was verified for Arizona (for the range in d50 0.28 to 0.36 ft) is n = (0.0926R1/6)/[1.46 + 2.23log(R/d50)]. Use this equation to develop a graph illustrating the relation of n, R, and d50.
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