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Catchment Area for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 Calculator

Formula Used:

\[ A = \left( \frac{Q_{pd}}{37.4 \times S_m^{2/3}} \right)^{4/3} \]

m³/s

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1. What is the Area of Catchment for Peak Discharge of Weighted Mean Slope Lesser than 0.0028?

The Area of Catchment for Peak Discharge of Weighted Mean Slope Lesser than 0.0028 is the geographical area from which water flows into a particular point, such as a well, stream, or reservoir, calculated specifically for conditions where the weighted mean slope is less than 0.0028.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = \left( \frac{Q_{pd}}{37.4 \times S_m^{2/3}} \right)^{4/3} \]

Where:

Explanation: This formula calculates the catchment area based on the peak discharge and weighted mean slope, with specific coefficients optimized for slopes less than 0.0028.

3. Importance of Area of Catchment Calculation

Details: Accurate catchment area calculation is crucial for hydrological modeling, flood prediction, water resource management, and infrastructure planning in watershed areas with gentle slopes.

4. Using the Calculator

Tips: Enter peak discharge in m³/s and weighted mean slope as a dimensionless value. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 0.0028 slope threshold?
A: This specific formula is optimized for watersheds with very gentle slopes (less than 0.0028), where different hydrological relationships apply compared to steeper terrain.

Q2: How is weighted mean slope calculated?
A: Weighted mean slope is derived by considering the slope of different segments of the catchment area, weighted by their respective contributions to the overall flow.

Q3: What are typical values for peak discharge?
A: Peak discharge values vary widely depending on catchment size, rainfall intensity, and other factors, ranging from less than 1 m³/s for small catchments to hundreds or thousands for large watersheds.

Q4: Are there limitations to this formula?
A: This formula is specifically designed for gentle slopes (less than 0.0028) and may not be accurate for steeper terrain or catchments with complex hydrological characteristics.

Q5: How does this relate to unit hydrograph theory?
A: The formula incorporates the D-h unit hydrograph concept, which represents the runoff response of a catchment to a unit depth of excess rainfall over a specific duration.

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