Wetted Perimeter Given Discharge Through Channels Calculator

Formula Used:

\[ p = \frac{(A^3) \times S}{\left(\frac{Q}{C}\right)^2} \]

Wetted Surface Area of Channel (A):

m²

Bed Slope (S):

Discharge of Channel (Q):

m³/s

Chezy's Constant (C):

Wetted Perimeter of Channel (p):

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1. What is Wetted Perimeter of Channel?

Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body. It is an important parameter in hydraulic engineering for calculating flow characteristics in open channels.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ p = \frac{(A^3) \times S}{\left(\frac{Q}{C}\right)^2} \]

Where:

\( p \) — Wetted Perimeter of Channel (m)
\( A \) — Wetted Surface Area of Channel (m²)
\( S \) — Bed Slope
\( Q \) — Discharge of Channel (m³/s)
\( C \) — Chezy's Constant

Explanation: This formula calculates the wetted perimeter based on the relationship between wetted surface area, bed slope, discharge, and Chezy's constant for open channel flow.

3. Importance of Wetted Perimeter Calculation

Details: Accurate calculation of wetted perimeter is crucial for determining flow resistance, calculating hydraulic radius, and designing efficient channel systems in civil and environmental engineering applications.

4. Using the Calculator

Tips: Enter wetted surface area in m², bed slope (dimensionless), discharge in m³/s, and Chezy's constant (dimensionless). All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of wetted perimeter in channel flow?
A: Wetted perimeter affects the hydraulic radius, which influences flow velocity, resistance, and efficiency in open channel systems.

Q2: How does bed slope affect wetted perimeter?
A: Steeper bed slopes generally result in higher flow velocities, which can affect the wetted perimeter calculation for a given discharge.

Q3: What is Chezy's constant and how is it determined?
A: Chezy's constant is a dimensionless coefficient that represents channel roughness and can be calculated using various formulas including Bazin, Ganguillet-Kutter, or Manning's formulas.

Q4: When is this formula most applicable?
A: This formula is particularly useful for steady, uniform flow conditions in open channels with known geometric and flow parameters.

Q5: Are there limitations to this calculation method?
A: The accuracy depends on proper estimation of Chezy's constant and assumes certain flow conditions that may not apply to all channel types or flow regimes.