The dimensions of the Chezy coefficient, C are L1/2 T−1 , and it is empirically evaluated as a function of the boundary roughness, ɛ/D; the Reynolds number, R; and the cross-sectional shape or the...

The dimensions of the Chezy coefficient, C are L1/2 T−1 , and it is empirically evaluated as a function of the boundary roughness, ɛ/D; the Reynolds number, R; and the cross-sectional shape or the hydraulic radius, Rh. However, further empirical studies (assuming the metric system) by Manning indicated that a more accurate dependence of the Chezy coefficient, C on the hydraulic radius, Rh is defined by the definition of the Manning’s roughness coefficient, n. Define the empirical relationship between the Chezy coefficient, C and the Manning’s roughness coefficient, n. Also, what are the dimensions and units of the Manning’s roughness coefficient, n and what is it a function of?