Abstract
An improved perturbation solution procedure for solving the non-linear differential equation governing spatially-varied flows (SVF) in open channels is described. The procedure corrects for the non-uniformity in the cross-stream distribution of streamwise velocity that is characteristic of this type of flow. Validation of the new procedure is accomplished using Gill’s (1977) laboratory data sets of SVF with increasing discharge. In addition, momentum correction factors (β) are determined for the 19 different SVF considered. Three sets of water surface profile simulations are then performed, assuming: (i) β = 1, (ii) β = computed β, and (iii) β = average β and the results are compared with the observed profiles. The comparison study indicates that, if β is assumed equal to unity in the analysis, this can lead to large discrepancies between the predicted and observed water surface profiles. On the other hand, when comparing the respective accuracies of the simulations based on β = β and, only a marginal improvement in the simulation is achieved when the former is used.
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Schedule a callMore From: Canadian Water Resources Journal / Revue canadienne des ressources hydriques
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