1. What is the Diameter of Section Formula?

The Diameter of Section formula calculates the diameter of a circular section based on shear stress, slope of bed, and specific weight of liquid. This calculation is particularly important in fluid mechanics and hydraulic engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( d_{section} \) — Diameter of section (m)
• \( \tau \) — Shear stress (Pascal)
• \( s \) — Slope of bed
• \( \gamma_f \) — Specific weight of liquid (N/m³)

Explanation: The formula calculates the diameter by dividing the shear stress by the product of slope of bed and specific weight of liquid.

3. Importance of Diameter Calculation

Details: Accurate diameter calculation is crucial for designing hydraulic systems, determining flow characteristics, and ensuring structural integrity in fluid transport applications.

4. Using the Calculator

Tips: Enter shear stress in Pascal, slope of bed (dimensionless), and specific weight in N/m³. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is shear stress in fluid mechanics?
A: Shear stress is the force per unit area acting parallel to the surface of a fluid element, causing deformation.

Q2: How is slope of bed measured?
A: Slope of bed is typically measured as the ratio of vertical drop to horizontal distance (rise over run).

Q3: What is specific weight of liquid?
A: Specific weight is the weight per unit volume of a substance, calculated as density multiplied by gravitational acceleration.

Q4: What are typical units for these measurements?
A: Shear stress in Pascal, slope (dimensionless), specific weight in N/m³, and diameter in meters.

Q5: Where is this calculation commonly applied?
A: This calculation is used in pipe flow analysis, open channel hydraulics, and sediment transport studies.