Discharge Given Depth At Gauging Station Calculator

Formula Used:

\[ Q = \frac{h_G - h_{csf} - Q_2^2}{H_c} \]

Depth at Gauging Station (hG):

Cease-to-Flow Depth (hcsf):

Terms of Order (Q2):

Head at Control (Hc):

Discharge (Q):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Discharge Given Depth at Gauging Station Formula?

The discharge formula calculates the volumetric flow rate of water through a given cross-sectional area based on depth measurements at a gauging station and control parameters. This calculation is essential in hydrology and water resource management.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = \frac{h_G - h_{csf} - Q_2^2}{H_c} \]

Where:

\( Q \) — Discharge (m³/s)
\( h_G \) — Depth at Gauging Station (m)
\( h_{csf} \) — Cease-to-Flow Depth (m)
\( Q_2 \) — Terms of Order (dimensionless)
\( H_c \) — Head at Control (m)

Explanation: The formula accounts for the relationship between water depth measurements and the resulting discharge rate, considering the head loss between the gauging station and control point.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for flood forecasting, water supply management, irrigation planning, and environmental monitoring of water bodies.

4. Using the Calculator

Tips: Enter all depth values in meters, terms of order as a dimensionless value, and head at control in meters. Ensure head at control is not zero to avoid division by zero.

5. Frequently Asked Questions (FAQ)

Q1: What is cease-to-flow depth?
A: Cease-to-flow depth refers to the water depth at which flow effectively stops or becomes negligible in the channel.

Q2: How are terms of order determined?
A: Terms of order represent the head loss between the gauging station and control, typically determined through hydraulic analysis or empirical relationships.

Q3: What units should be used for input values?
A: All depth and head measurements should be in meters (m), while discharge will be calculated in cubic meters per second (m³/s).

Q4: When is this formula most applicable?
A: This formula is particularly useful in open channel flow measurements where a downstream control and gauging station are established.

Q5: What are common sources of error in this calculation?
A: Potential errors include inaccurate depth measurements, improper determination of terms of order, and variations in channel geometry that affect flow characteristics.