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Streamflow Estimation. Module 8.6. How do we estimate flow where no gauge exists?. Particularly pertinent question Where gauge existed, use correlation Relationship may not be valid in areas of extensive landcover modification Estimate based on hydrologic similarity
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Streamflow Estimation Module 8.6
How do we estimate flow where no gauge exists? • Particularly pertinent question • Where gauge existed, use correlation • Relationship may not be valid in areas of extensive landcover modification • Estimate based on hydrologic similarity • Roughly the same volume of flow per unit area will be generated from hydrologically homogeneous areas • Manning’s Equation !! • Useful for design purposes
Manning’s Equation For uniform flow in a channel: Where:v = average velocity (ft s-1)R = hydraulic radius of channel (ft)S = slope of channel (dimensionless)n = Manning’s roughness coefficient Note: in SI units, replace 1.5 by 1 !!
d w Manning’s Equation Hydraulic Radius of Channel: R = A/P Where: A is the cross sectional area P is the wetted perimeter Why use wetted perimeter and not total perimeter? Estimate from geometrical relationships, or surveyedcross section
Manning’s Equation Hydraulic Radius of Channel: R = A/P Slope of Channel: S = drop / distance drop distance Estimate from topographic maps, or survey stream reach
Manning’s Equation Hydraulic Radius of Channel: R = A/P Slope of Channel: S = drop / distance • Finally we must estimate Manning’s n • range: 0.01 (concrete) – 0.1 (coarse bed, dense brush) • n depends on: • bed material, vegetation, channel configuration, sinuosity • varies with stage • Herein lies the true art of the method !!
Example 10 ft. 50 ft. Estimate bankfull flow…