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Discharge from a Reservoir

Discharge from a Reservoir. Channel Cross section, entrance loess coefficient, , Manning, , and channel bottom slope, are needed to estimate the discharge, and flow depth, For the specified flow variables and channel parameters, the channel bottom slope may be classified as: Steep

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Discharge from a Reservoir

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  1. Discharge from a Reservoir • Channel Cross section, entrance loess coefficient, , Manning, , and channel bottom slope, are needed to estimate the discharge, and flow depth, • For the specified flow variables and channel parameters, the channel bottom slope may be classified as: • Steep • Critical, or • Mild • How to determine the bottom slope downstream the channel? (Choudhry, 2008)

  2. Discharge from a Reservoir • First assume the control is at the channel entrance • Use critical flow equations to estimate flow depth and discharge • Compare slope (from Manning eq. with normal slope to determine the channel bottom slope) • Based upon the channel bottom slope, decide on modifing your flow depth and discharge estimates or not. (Choudhry, 2008)

  3. Summary • Assume the control is at the channel entrance, estimate , • Estimate , • Determine , • Determine the bottom channel slope, is it mild, steep or critical (i.e. compare ), • Critical bottom channel slope • Mild bottom channel slope • Steep bottom channel slope • If the bottom channel slope is critical, discharge and flow depth estimated earlier are correct. • If the bottom channel slope is steep, the discharge is correct and we need to estimate the flow depth • If the bottom channel slope is mild, we need to solve to find the flow depth and Manning equation to estimate the discharge.

  4. Example • A 10-m wide, rectangular, concrete lined channel (n = 0.013) has a bottom slope of 0.01 and a constant level reservoir at the upstream end. The reservoir water level is 6.0 m above the channel bottom at entrance. Assuming the entrance loess and the approach velocity in the reservoir to negligible, determine the channel discharge and qualitatively sketch the water surface profile.

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