Head at Control 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%
✖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 [Q]			+10% -10%

✖Head at Control shown as a function of discharge Q.ⓘ Head at Control given Depth at Gauging Station [H_c]

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Formula

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Head at Control given Depth at Gauging Station

Formula

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

Example

`"0.05m"=("6.01m"-"0.1m"-("2.4")^2)/("3.0m³/s")`

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Head at Control given Depth at Gauging Station Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Head at Control - (Measured in Meter) - Head at Control shown as a function of discharge Q.
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.
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.

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
Discharge: 3 Cubic Meter per Second --> 3 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_c = (h_G-h_csf-Q²^2)/(Q) --> (6.01-0.1-2.4^2)/(3)

Evaluating ... ...

H_c = 0.0500000000000001

STEP 3: Convert Result to Output's Unit

0.0500000000000001 Meter --> No Conversion Required

FINAL ANSWER

0.0500000000000001 ≈ 0.05 Meter <-- Head at Control

(Calculation completed in 00.004 seconds)

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Created by Rachana B V

The National Institute of Engineering (NIE), Mysuru

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

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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

Head at Control given Depth at Gauging Station Formula

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

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 Head at Control given Depth at Gauging Station?

Head at Control given Depth at Gauging Station calculator uses Head at Control = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/(Discharge) to calculate the Head at Control, The Head at Control given Depth at Gauging Station formula is defined as the energy per unit weight of fluid at a gauging station's specified depth. Head at Control is denoted by H_c symbol.

How to calculate Head at Control given Depth at Gauging Station using this online calculator? To use this online calculator for Head at Control given Depth at Gauging Station, enter Depth at Gauging Station (h_G), Cease-to-Flow Depth (h_csf), Terms of Order (Q²) & Discharge (Q) and hit the calculate button. Here is how the Head at Control given Depth at Gauging Station calculation can be explained with given input values -> 50000 = (6.01-0.1-2.4^2)/(3).

FAQ

What is Head at Control given Depth at Gauging Station?

The Head at Control given Depth at Gauging Station formula is defined as the energy per unit weight of fluid at a gauging station's specified depth and is represented as H_c = (h_G-h_csf-Q²^2)/(Q) or Head at Control = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/(Discharge). 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 & 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.

How to calculate Head at Control given Depth at Gauging Station?

The Head at Control given Depth at Gauging Station formula is defined as the energy per unit weight of fluid at a gauging station's specified depth is calculated using Head at Control = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/(Discharge). To calculate Head at Control given Depth at Gauging Station, you need Depth at Gauging Station (h_G), Cease-to-Flow Depth (h_csf), Terms of Order (Q²) & Discharge (Q). With our tool, you need to enter the respective value for Depth at Gauging Station, Cease-to-Flow Depth, Terms of Order & Discharge 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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