Author(s): Junke Guo
Keywords: Bed-shear stress; Einstein's procedure; flume experiment; non-uniform flow; sidewall correction
Abstract: Studying open channel flow and sediment transport in narrow flumes under non-uniform flow conditions, both sidewall and non-uniformity corrections are required for bed-shear stress. This research first reviews conventional predictive methods for bed-shear stress, including the flow-depth method, the hydraulic radius method and Einstein's sidewall correction. It then presents a novel procedure for sidewall and non-uniformity corrections based on a recent cross-sectional velocity distribution model. These methods are compared with data from the log-law under uniform and non-uniform, sub- and supercritical flow conditions, indicating that (i) the flow-depth and the hydraulic radius methods specify the upper and lower bounds for bed-shear stress; (ii) although Einstein's procedure causes a paradox for smooth flumes, it agrees with data from rough beds; and (iii) the proposed is better than Einstein's for subcritical flow, but the latter has advantage for supercritical flow. As an application, sediment inception under non-uniform flow conditions is also discussed.