Avoiding Error When Using the Manning Equation
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Using depth instead of hydraulic radius in the Manning equation introduces a positive bias of 12.92% when the ratio of width to depth in the channel is 10, falling to 1.33% when the ratio is 100. If the result is used subsequently the bias may be magnified to as much as 107%.
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[2] M. Gordon Wolman,et al. Fluvial Processes in Geomorphology , 1965 .