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Factors Dependent Constant Given Peak Rate Of Runoff Calculator

Formula Used:

\[ Constant = \frac{Peak\ Rate\ of\ Runoff\ from\ Dickens\ Formula}{(Catchment\ Area\ in\ KM)^{3/4}} \] \[ x = \frac{QPD}{(Akm)^{3/4}} \]

Cubic Meter per Second
Square Kilometer

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1. What is the Factors Dependent Constant?

The Factors Dependent Constant is a hydrological parameter derived from Dickens Formula that depends on various factors including southern pine and other species. It represents the relationship between peak runoff rate and catchment area.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Constant = \frac{Peak\ Rate\ of\ Runoff\ from\ Dickens\ Formula}{(Catchment\ Area\ in\ KM)^{3/4}} \] \[ x = \frac{QPD}{(Akm)^{3/4}} \]

Where:

Explanation: The formula calculates the constant value by dividing the peak runoff rate by the catchment area raised to the power of 3/4.

3. Importance of Constant Calculation

Details: Accurate constant calculation is crucial for hydrological modeling, flood prediction, and water resource management. It helps in understanding the relationship between rainfall intensity and runoff characteristics in different catchment areas.

4. Using the Calculator

Tips: Enter the peak rate of runoff in cubic meters per second and catchment area in square kilometers. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is Dickens Formula?
A: Dickens Formula is an empirical formula used to estimate peak runoff rates in hydrological studies, particularly for small catchment areas.

Q2: Why is the exponent 3/4 used in the formula?
A: The 3/4 exponent represents the non-linear relationship between catchment area and peak runoff rate, accounting for the scaling effects in hydrological processes.

Q3: What factors influence the constant value?
A: The constant depends on various factors including vegetation type (southern pine and other species), soil characteristics, slope, and rainfall intensity patterns.

Q4: How accurate is this calculation method?
A: The accuracy depends on the quality of input data and the applicability of Dickens Formula to the specific catchment characteristics.

Q5: Can this calculator be used for large catchment areas?
A: While Dickens Formula is primarily designed for small catchment areas, this calculation can provide estimates for larger areas, though additional validation may be required.

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