Discharge given Depth at Gauging Station Calculator

✖Depth at Gauging Station where the hydraulics of a downstream control and a gauging station are considered.ⓘ Depth at Gauging Station [h_G]			+10% -10%
✖Cease-to-Flow Depth when hydraulics of a downstream control and a gauging station are considered.ⓘ Cease-to-Flow Depth [h_csf]			+10% -10%
✖Terms of Order give the head loss between the gauging station and the control.ⓘ Terms of Order [Q²]			+10% -10%
✖Head at Control shown as a function of discharge Q.ⓘ Head at Control [H_c]			+10% -10%

✖Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.ⓘ Discharge given Depth at Gauging Station [Q]

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Formula

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Discharge given Depth at Gauging Station

Formula

`"Q" = ("h"_{"G"}-"h"_{"csf"}-"Q"^{"2"}^2)/"H"_{"c"}`

Example

`"3m³/s"=("6.01m"-"0.1m"-("2.4")^2)/"0.05m"`

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Discharge given Depth at Gauging Station Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/Head at Control
Q = (h_G-h_csf-Q²^2)/H_c
This formula uses 5 Variables

Variables Used

Discharge - (Measured in Cubic Meter per Second) - Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.
Depth at Gauging Station - (Measured in Meter) - Depth at Gauging Station where the hydraulics of a downstream control and a gauging station are considered.
Cease-to-Flow Depth - (Measured in Meter) - Cease-to-Flow Depth when hydraulics of a downstream control and a gauging station are considered.
Terms of Order - Terms of Order give the head loss between the gauging station and the control.
Head at Control - (Measured in Meter) - Head at Control shown as a function of discharge Q.

STEP 1: Convert Input(s) to Base Unit

Depth at Gauging Station: 6.01 Meter --> 6.01 Meter No Conversion Required
Cease-to-Flow Depth: 0.1 Meter --> 0.1 Meter No Conversion Required
Terms of Order: 2.4 --> No Conversion Required
Head at Control: 0.05 Meter --> 0.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (h_G-h_csf-Q²^2)/H_c --> (6.01-0.1-2.4^2)/0.05

Evaluating ... ...

Q = 3.00000000000001

STEP 3: Convert Result to Output's Unit

3.00000000000001 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

3.00000000000001 ≈ 3 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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Credits

Created by Rachana B V

The National Institute of Engineering (NIE), Mysuru

Rachana B V has created this Calculator and 25+ more calculators!

Verified by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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< 4 Low Flow Calculators

Head at Control given Depth at Gauging Station

Go Head at Control = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/(Discharge)

Cease to Flow Depth given Depth at Gauging Station

Go Cease-to-Flow Depth = Depth at Gauging Station-Head at Control*(Discharge)-Terms of Order^2

Discharge given Depth at Gauging Station

Go Discharge = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/Head at Control

Depth at Gauging Station

Go Depth at Gauging Station = Cease-to-Flow Depth+Head at Control*(Discharge)+Terms of Order^2

Discharge given Depth at Gauging Station Formula

Discharge = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/Head at Control
Q = (h_G-h_csf-Q²^2)/H_c

What is Gauging Station?

A stream gauge, stream gage or gauging station is a location used by hydrologists or environmental scientists to monitor and test terrestrial bodies of water.

How to Calculate Discharge given Depth at Gauging Station?

Discharge given Depth at Gauging Station calculator uses Discharge = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/Head at Control to calculate the Discharge, The Discharge given Depth at Gauging Station formula is defined as the volume of water flowing past, determined by measuring depth to estimate flow rate. Discharge is denoted by Q symbol.

How to calculate Discharge given Depth at Gauging Station using this online calculator? To use this online calculator for Discharge given Depth at Gauging Station, enter Depth at Gauging Station (h_G), Cease-to-Flow Depth (h_csf), Terms of Order (Q²) & Head at Control (H_c) and hit the calculate button. Here is how the Discharge given Depth at Gauging Station calculation can be explained with given input values -> 3 = (6.01-0.1-2.4^2)/0.05.

FAQ

What is Discharge given Depth at Gauging Station?

The Discharge given Depth at Gauging Station formula is defined as the volume of water flowing past, determined by measuring depth to estimate flow rate and is represented as Q = (h_G-h_csf-Q²^2)/H_c or Discharge = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/Head at Control. Depth at Gauging Station where the hydraulics of a downstream control and a gauging station are considered, Cease-to-Flow Depth when hydraulics of a downstream control and a gauging station are considered, Terms of Order give the head loss between the gauging station and the control & Head at Control shown as a function of discharge Q.

How to calculate Discharge given Depth at Gauging Station?

The Discharge given Depth at Gauging Station formula is defined as the volume of water flowing past, determined by measuring depth to estimate flow rate is calculated using Discharge = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/Head at Control. To calculate Discharge given Depth at Gauging Station, you need Depth at Gauging Station (h_G), Cease-to-Flow Depth (h_csf), Terms of Order (Q²) & Head at Control (H_c). With our tool, you need to enter the respective value for Depth at Gauging Station, Cease-to-Flow Depth, Terms of Order & Head at Control and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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