Time Given Rainfall Intensity For Rain Having Frequency Of 10 Years Calculator

Formula Used:

\[ T_m = \left( \frac{K_{10year}}{i_{10year}} \right)^{\frac{1}{0.5}} - b_{10year} \]

K Constant when Rain having Frequency of 10 Year:

m/s

Rainfall Intensity for Rain Freq of 10 Years:

m/s

Constant b when Rain having Frequency of 10 Year:

Time in Minutes:

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1. What is the Time Given Rainfall Intensity Formula?

The Time Given Rainfall Intensity formula calculates the time duration based on empirical constants and rainfall intensity for a 10-year frequency rain event. It's used in hydrological calculations to determine time parameters for rainfall events.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T_m = \left( \frac{K_{10year}}{i_{10year}} \right)^{\frac{1}{0.5}} - b_{10year} \]

Where:

\( T_m \) — Time in Minutes (seconds)
\( K_{10year} \) — K Constant when Rain having Frequency of 10 Year (m/s)
\( i_{10year} \) — Rainfall Intensity for Rain Freq of 10 Years (m/s)
\( b_{10year} \) — Constant b when Rain having Frequency of 10 Year (s)

Explanation: The formula calculates time duration by taking the ratio of K constant to rainfall intensity, raising it to the power of 2 (1/0.5), and subtracting the constant b.

3. Importance of Time Calculation

Details: Accurate time calculation is crucial for hydrological modeling, flood prediction, and designing drainage systems that can handle rainfall events with 10-year frequency.

4. Using the Calculator

Tips: Enter K constant in m/s, rainfall intensity in m/s, and constant b in seconds. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of 10-year frequency in rainfall?
A: A 10-year frequency rainfall event has a 10% probability of occurring in any given year, representing a significant but not extreme rainfall event.

Q2: How are the K and b constants determined?
A: These are empirical constants derived from regional rainfall data analysis and vary based on geographical location and climate conditions.

Q3: What units should be used for input values?
A: K constant and rainfall intensity should be in meters per second (m/s), while constant b should be in seconds.

Q4: Can this formula be used for other rainfall frequencies?
A: This specific formula is designed for 10-year frequency events. Different frequencies may require different constants and formulas.

Q5: What are typical ranges for these constants?
A: Constants vary by region, but K typically ranges from 0.0001 to 0.001 m/s, while b ranges from 600 to 1800 seconds for most applications.