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The Length of Reach by Manning's Formula for Uniform Flow calculates the length of a stream or river section based on frictional loss and energy slope. This calculation is essential in hydraulic engineering for designing and analyzing open channel flows.
The calculator uses the formula:
Where:
Explanation: The formula calculates the length of a stream reach by dividing the frictional loss by the energy slope, providing the distance over which the specified head loss occurs.
Details: Accurate calculation of reach length is crucial for hydraulic design, flood forecasting, sediment transport studies, and environmental impact assessments in river engineering projects.
Tips: Enter frictional loss in meters and energy slope in meters per meter. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is frictional loss in open channel flow?
A: Frictional loss represents the energy loss due to friction between the flowing water and the channel boundaries, typically measured in meters of head loss.
Q2: How is energy slope different from bed slope?
A: Energy slope represents the rate of energy loss along the channel, while bed slope is the physical slope of the channel bottom. They are equal only in uniform flow conditions.
Q3: When is Manning's formula applicable?
A: Manning's formula is applicable for steady, uniform flow in open channels where the flow depth, velocity, and channel cross-section remain constant along the reach.
Q4: What are typical values for energy slope?
A: Energy slope values typically range from 0.0001 to 0.01 m/m, depending on channel characteristics and flow conditions.
Q5: Can this formula be used for non-uniform flow?
A: This specific formula is derived for uniform flow conditions. For non-uniform flow, more complex methods involving gradually varied flow analysis are required.