Hydraulic Depth of Circle Calculator

Hydraulic Depth of Circular Channel Formula:

\[ D_{cir} = (d_{section} \times 0.125) \times \left( \frac{(180/\pi) \times \theta - \sin(\theta)}{\sin(\theta/2)} \right) \]

Hydraulic Depth of Circular Channel:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Hydraulic Depth of Circular Channel?

The Hydraulic Depth of Circular Channel is defined as the depth which is in contact with water in a circular channel section. It's an important parameter in hydraulic engineering for calculating flow characteristics in circular conduits.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D_{cir} = (d_{section} \times 0.125) \times \left( \frac{(180/\pi) \times \theta - \sin(\theta)}{\sin(\theta/2)} \right) \]

Where:

\( D_{cir} \) — Hydraulic Depth of Circular Channel (m)
\( d_{section} \) — Diameter of Section (m)
\( \theta \) — Subtended Angle in Radians (rad)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula calculates the hydraulic depth based on the channel diameter and the subtended angle, which represents the portion of the circular channel that is filled with water.

3. Importance of Hydraulic Depth Calculation

Details: Accurate hydraulic depth calculation is crucial for determining flow characteristics, designing efficient drainage systems, and analyzing water flow in circular pipes and channels in civil and environmental engineering applications.

4. Using the Calculator

Tips: Enter the diameter of the circular section in meters and the subtended angle in radians. Both values must be positive numbers. The angle should be between 0 and 2π radians.

5. Frequently Asked Questions (FAQ)

Q1: What is a subtended angle in this context?
A: The subtended angle represents the central angle that corresponds to the portion of the circular channel that is filled with water, measured in radians.

Q2: Why is hydraulic depth important in channel flow?
A: Hydraulic depth is used in various hydraulic calculations including flow velocity, discharge rates, and energy calculations in open channel flow.

Q3: What are typical values for circular channel diameters?
A: Circular channels can range from small pipes (few centimeters) to large culverts and tunnels (several meters) depending on the application.

Q4: Are there limitations to this formula?
A: This formula is specifically for circular channels and assumes uniform flow conditions. It may not be accurate for non-uniform or rapidly varying flow conditions.

Q5: How is this different from hydraulic radius?
A: Hydraulic depth is the cross-sectional area divided by the top width, while hydraulic radius is the cross-sectional area divided by the wetted perimeter.