Flow Velocity by Crimp and Burge's Formula Calculator

Crimp and Burge's Formula:

\[ V_{cb} = 83.5 \times m^{2/3} \times \sqrt{s} \]

Flow Velocity (V_cb):

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1. What is Crimp and Burge's Formula?

Crimp and Burge's Formula is used to calculate flow velocity in open channels based on hydraulic mean depth and bed slope. It provides an empirical relationship for estimating flow velocity in various channel conditions.

2. How Does the Calculator Work?

The calculator uses Crimp and Burge's formula:

\[ V_{cb} = 83.5 \times m^{2/3} \times \sqrt{s} \]

Where:

\( V_{cb} \) — Flow velocity (m/s)
\( m \) — Hydraulic mean depth (m)
\( s \) — Bed slope of channel (-)

Explanation: The formula relates flow velocity to the hydraulic mean depth raised to the 2/3 power and the square root of the bed slope, with 83.5 as an empirical coefficient.

3. Importance of Flow Velocity Calculation

Details: Accurate flow velocity estimation is crucial for designing drainage systems, irrigation channels, and flood control structures, as well as for environmental flow assessments.

4. Using the Calculator

Tips: Enter hydraulic mean depth in meters and bed slope as a dimensionless ratio. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is hydraulic mean depth?
A: Hydraulic mean depth is the cross-sectional area of flow divided by the wetted perimeter, representing the efficiency of the channel section.

Q2: How is bed slope typically expressed?
A: Bed slope is usually expressed as a ratio (e.g., 0.001 for 1:1000 slope) or as a percentage (e.g., 0.1% for 0.001 slope).

Q3: What are typical flow velocity ranges in channels?
A: Flow velocities typically range from 0.3-3 m/s, depending on channel type, slope, and flow conditions.

Q4: When is Crimp and Burge's formula most applicable?
A: This formula is commonly used for open channel flow calculations in civil engineering applications, particularly for natural and artificial channels.

Q5: Are there limitations to this formula?
A: Like all empirical formulas, Crimp and Burge's formula has limitations and may not be accurate for all channel conditions, particularly for very rough or smooth surfaces.