Area Of Section Given Froude Number Calculator

Formula Used:

\[ S = \left( \frac{Q_f^2 \cdot T}{g \cdot Fr^2} \right)^{1/3} \]

Wetted Surface Area (S):

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1. What is the Wetted Surface Area Formula?

The wetted surface area formula calculates the total area of outer surface in contact with surrounding water based on discharge, top width, and Froude number. This is particularly important in open channel flow calculations and hydraulic engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \left( \frac{Q_f^2 \cdot T}{g \cdot Fr^2} \right)^{1/3} \]

Where:

\( S \) — Wetted Surface Area (m²)
\( Q_f \) — Discharge for GVF Flow (m³/s)
\( T \) — Top Width (m)
\( Fr \) — Froude Number
\( g \) — Gravitational acceleration (9.80665 m/s²)

Explanation: The formula relates the wetted surface area to the square of discharge, top width, and inversely to the square of Froude number and gravitational acceleration.

3. Importance of Wetted Surface Area Calculation

Details: Accurate calculation of wetted surface area is crucial for hydraulic engineering, open channel flow analysis, sediment transport studies, and environmental impact assessments of water bodies.

4. Using the Calculator

Tips: Enter discharge in m³/s, top width in meters, and Froude number. All values must be positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the Froude Number?
A: The Froude Number is a dimensionless number that represents the ratio of flow inertia to gravitational forces, used to characterize flow regimes in open channels.

Q2: When is this formula typically used?
A: This formula is commonly used in hydraulic engineering for calculating wetted surface area in gradually varied flow conditions in open channels.

Q3: What are typical values for Froude Number?
A: Froude Number values below 1 indicate subcritical flow, equal to 1 indicates critical flow, and above 1 indicates supercritical flow.

Q4: Are there limitations to this equation?
A: This equation assumes uniform flow conditions and may need adjustments for complex channel geometries or rapidly varying flow conditions.

Q5: What units should be used for input values?
A: Discharge should be in cubic meters per second (m³/s), top width in meters (m), and Froude Number is dimensionless.