Discharge Given Critical Depth For Parabolic Channel Calculator

Formula Used:

\[ Q = \sqrt{(h_p^4) \times (S^2) \times 0.29629629629 \times g} \]

Discharge of Channel (Q):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Discharge Calculation for Parabolic Channel?

The discharge calculation for a parabolic channel determines the rate of flow of a liquid through a channel with a parabolic cross-section. It uses the critical depth and bed slope to estimate the discharge rate accurately.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = \sqrt{(h_p^4) \times (S^2) \times 0.29629629629 \times g} \]

Where:

\( Q \) — Discharge of Channel (m³/s)
\( h_p \) — Critical Depth of Parabolic Channel (m)
\( S \) — Bed Slope (-)
\( g \) — Gravitational acceleration (9.80665 m/s²)
0.29629629629 — Constant coefficient

Explanation: The equation calculates the discharge rate based on the fourth power of critical depth and the square of bed slope, adjusted by gravitational acceleration and a constant coefficient.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is essential for hydraulic engineering, flood management, irrigation system design, and environmental flow assessments in parabolic channels.

4. Using the Calculator

Tips: Enter critical depth in meters, bed slope as a dimensionless value. Both values must be positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is critical depth in a parabolic channel?
A: Critical depth is the depth of flow where energy is at a minimum for a particular discharge in a parabolic channel.

Q2: How does bed slope affect discharge?
A: Steeper bed slopes generally result in higher discharge rates due to increased gravitational force driving the flow.

Q3: What are typical values for bed slope?
A: Bed slope values typically range from 0.0001 (very mild) to 0.01 (steep) depending on the channel characteristics.

Q4: Are there limitations to this formula?
A: This formula is specific to parabolic channels and may not be accurate for other channel shapes or under extreme flow conditions.

Q5: Can this calculator be used for engineering design?
A: While useful for estimations, professional engineering projects should use more comprehensive hydraulic models and field measurements.