Flood Discharge By Inglis Formula Calculator

Inglis Formula:

\[ QI = \frac{123 \times A_{km}}{\sqrt{A_{km} + 10.4}} \]

Flood Discharge by Inglis Formula:

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1. What is the Inglis Formula?

The Inglis Formula is an empirical equation used to estimate flood discharge from a catchment area. It provides a mathematical relationship between the catchment area and the expected peak flood discharge, typically used in hydrological studies and flood risk assessment.

2. How Does the Calculator Work?

The calculator uses the Inglis Formula:

\[ QI = \frac{123 \times A_{km}}{\sqrt{A_{km} + 10.4}} \]

Where:

\( QI \) — Flood discharge by Inglis formula (m³/s)
\( A_{km} \) — Catchment area for flood discharge (km²)

Explanation: The formula calculates flood discharge based on the catchment area, with the square root function accounting for the non-linear relationship between area and discharge.

3. Importance of Flood Discharge Calculation

Details: Accurate flood discharge estimation is crucial for designing hydraulic structures, floodplain management, and developing effective flood warning systems to protect communities and infrastructure.

4. Using the Calculator

Tips: Enter the catchment area in square kilometers. The value must be valid (area > 0). The calculator will compute the flood discharge using the Inglis formula.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of catchment areas for this formula?
A: The Inglis formula is generally applicable for medium to large catchment areas, though its accuracy should be verified with local hydrological data.

Q2: How accurate is the Inglis formula compared to other methods?
A: The accuracy varies by region and catchment characteristics. It's recommended to use multiple methods and compare results for important engineering projects.

Q3: Can this formula be used for all types of catchments?
A: The formula works best for catchments with similar characteristics to those used in its development. Special conditions like urban areas or steep terrain may require adjustments.

Q4: What are the limitations of the Inglis formula?
A: The formula doesn't account for factors like rainfall intensity, soil type, land use, or topography, which can significantly affect flood discharge.

Q5: Should this be used for critical infrastructure design?
A: For critical infrastructure, it's recommended to use more comprehensive hydrological models and site-specific data rather than relying solely on empirical formulas.