Constant Used In Flood Discharge By Nawab Jang Bahadur Formula Calculator

Nawab Jang Bahadur Formula:

\[ CN = \frac{QN}{A_{km}^{0.993 - \frac{1}{14} \times \log_{10}(A_{km})}} \]

Nawab Jang Bahadur Constant (CN):

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1. What Is The Nawab Jang Bahadur Constant?

The Nawab Jang Bahadur Constant refers to an empirical coefficient used in hydrological formulas to estimate peak flood discharge, specific to certain regions in India. It is a crucial parameter in flood prediction and water resource management.

2. How Does The Calculator Work?

The calculator uses the Nawab Jang Bahadur formula:

\[ CN = \frac{QN}{A_{km}^{0.993 - \frac{1}{14} \times \log_{10}(A_{km})}} \]

Where:

\( CN \) — Nawab Jang Bahadur Constant
\( QN \) — Flood discharge (m³/s)
\( A_{km} \) — Catchment area (km²)
\( \log_{10} \) — Base-10 logarithm function

Explanation: The formula calculates the empirical constant based on flood discharge and catchment area, incorporating a logarithmic relationship to account for scale effects.

3. Importance Of The Constant

Details: The Nawab Jang Bahadur Constant is essential for accurate flood prediction and hydrological modeling in specific Indian regions. It helps in designing flood control structures and water management systems.

4. Using The Calculator

Tips: Enter flood discharge in m³/s and catchment area in km². Both values must be positive numbers. The calculator will compute the Nawab Jang Bahadur Constant.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of Nawab Jang Bahadur Constant?
A: The constant typically ranges between 40-60 for most Indian catchment areas, but can vary based on regional characteristics.

Q2: How accurate is this formula?
A: The formula provides good estimates for flood discharge in specific Indian regions where it was developed, but may need calibration for other areas.

Q3: What units should be used for input values?
A: Flood discharge should be in cubic meters per second (m³/s) and catchment area in square kilometers (km²).

Q4: Can this formula be used for all catchment areas?
A: The formula is specifically developed for certain Indian regions and may not be directly applicable to other geographical areas without proper calibration.

Q5: What are the limitations of this approach?
A: The formula is empirical and may not account for all hydrological factors. It should be used with caution and validated with measured data.