Area Of Basin Given Flood Discharge By Dicken's Formula Calculator

Dicken's Formula:

\[ A_{km} = \left( \frac{Q_D}{C_D} \right)^{4/3} \]

Catchment Area:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Dicken's Formula?

Dicken's Formula is an empirical equation used to estimate peak flood discharge based on the catchment area. It's particularly useful in hydrological studies and flood prediction, especially in the Indian subcontinent where the constant values were calibrated.

2. How Does the Calculator Work?

The calculator uses Dicken's formula rearranged to solve for catchment area:

\[ A_{km} = \left( \frac{Q_D}{C_D} \right)^{4/3} \]

Where:

\( A_{km} \) — Catchment area (km²)
\( Q_D \) — Flood discharge by Dicken's formula (m³/s)
\( C_D \) — Dicken's constant (typically 11-14 for Indian conditions)

Explanation: The formula establishes an empirical relationship between flood discharge and catchment area, with the constant value adjusted for regional characteristics.

3. Importance of Catchment Area Calculation

Details: Accurate catchment area determination is crucial for flood forecasting, water resource management, hydraulic structure design, and environmental impact assessments. It helps in understanding the watershed characteristics and predicting flood behavior.

4. Using the Calculator

Tips: Enter flood discharge in m³/s and Dicken's constant value (typically between 11-14 for Indian conditions). Both values must be positive, with the constant within the recommended range.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for Dicken's constant?
A: Dicken's constant typically ranges from 11 to 14 for Indian conditions, with variations based on regional characteristics and catchment properties.

Q2: When is Dicken's formula most applicable?
A: Dicken's formula is particularly useful for flood discharge estimation in medium-sized catchments and is widely used in the Indian subcontinent.

Q3: What are the limitations of Dicken's formula?
A: The formula is empirical and may not account for all hydrological factors. It works best for regional conditions similar to those where the constants were originally calibrated.

Q4: How accurate is this calculation method?
A: Accuracy depends on proper selection of the constant value and represents average conditions. For critical applications, multiple methods should be used and results compared.

Q5: Can this formula be used for very large or very small catchments?
A: The formula is most reliable for medium-sized catchments. Extreme sizes may require different empirical relationships or more complex hydrological models.