1. What is Froude Number by Dynamic Equation?

The Froude Number by Dynamic Equation is a dimensionless number that represents the ratio of inertial forces to gravitational forces in fluid flow. It is particularly useful in analyzing gradually varied flow conditions in open channels.

2. How Does the Calculator Work?

The calculator uses the dynamic equation for Froude Number:

Where:

• \( S_0 \) — Bed slope of the channel (unitless)
• \( S_f \) — Energy slope (unitless)
• \( m \) — Slope of the line (unitless)

Explanation: This equation calculates the Froude Number based on the relationship between bed slope, energy slope, and the slope of the energy line in gradually varied flow conditions.

3. Importance of Froude Number Calculation

Details: The Froude Number is crucial for determining flow regimes in open channels (subcritical, critical, or supercritical flow), designing hydraulic structures, and analyzing flow stability and wave formation.

4. Using the Calculator

Tips: Enter the bed slope, energy slope, and slope of the line as dimensionless values. All values must be positive, and the slope of the line (m) must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What does the Froude Number indicate?
A: The Froude Number indicates the flow regime: Fr < 1 (subcritical), Fr = 1 (critical), Fr > 1 (supercritical).

Q2: How is this different from the standard Froude Number?
A: This dynamic equation version specifically accounts for slope differences in gradually varied flow conditions.

Q3: What are typical values for bed slope and energy slope?
A: These values are typically small positive numbers (0.001-0.01) for most natural channels and engineered waterways.

Q4: When is this equation most applicable?
A: This equation is particularly useful for analyzing gradually varied flow in open channels with mild slopes.

Q5: What are the limitations of this equation?
A: The equation assumes steady flow conditions and may not be accurate for rapidly varied flow or flows with significant turbulence.