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Discharge given Depth at Gauging Station Formula

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The Discharge refers to 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. Check FAQs

Q = \frac{h G - h csf - {Q 2}^{2}}{H c}

Q - Discharge?h_G - Depth at Gauging Station?h_csf - Cease-to-Flow Depth?Q² - Terms of Order?H_c - Head at Control?

Discharge given Depth at Gauging Station Example

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Here is how the Discharge given Depth at Gauging Station equation looks like with Values.

Here is how the Discharge given Depth at Gauging Station equation looks like with Units.

Here is how the Discharge given Depth at Gauging Station equation looks like.

3 = \frac{6.01 - 0.1 - {2.4}^{2}}{0.05}

3m³/s = \frac{6.01m - 0.1m - {2.4}^{2}}{0.05m}

3 = \frac{6.01 - 0.1 - {2.4}^{2}}{0.05}

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Discharge given Depth at Gauging Station Solution

Follow our step by step solution on how to calculate Discharge given Depth at Gauging Station?

FIRST Step Consider the formula

Q = \frac{h G - h csf - {Q 2}^{2}}{H c}

Next Step Substitute values of Variables

∴

Q = \frac{6.01m - 0.1m - {2.4}^{2}}{0.05m}

Next Step Prepare to Evaluate

∴

Q = \frac{6.01 - 0.1 - {2.4}^{2}}{0.05}

Next Step Evaluate

∴

Q = 3.00000000000001m³/s

LAST Step Rounding Answer

∴

Q = 3m³/s

Discharge given Depth at Gauging Station Formula Elements

Variables

Discharge

The Discharge refers to 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.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge

Depth at Gauging Station

Depth at Gauging Station where the hydraulics of a downstream control and a gauging station are considered.

Symbol: h_G

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth at Gauging Station

Cease-to-Flow Depth

Cease-to-Flow Depth when hydraulics of a downstream control and a gauging station are considered.

Symbol: h_csf

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cease-to-Flow Depth

Terms of Order

Terms of Order give the head loss between the gauging station and the control.

Symbol: Q²

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Terms of Order

Head at Control

Head at Control shown as a function of discharge Q.

Symbol: H_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head at Control

Other formulas in Low Flow category

Go Cease to Flow Depth given Depth at Gauging Station

h csf = h G - H c \cdot (Q) - {Q 2}^{2}

Go Depth at Gauging Station

h G = h csf + H c \cdot (Q) + {Q 2}^{2}

Go Head at Control given Depth at Gauging Station

H c = \frac{h G - h csf - {Q 2}^{2}}{Q}

How to Evaluate Discharge given Depth at Gauging Station?

Discharge given Depth at Gauging Station evaluator uses Discharge = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/Head at Control to evaluate 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 evaluate Discharge given Depth at Gauging Station using this online evaluator? To use this online evaluator 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.

FAQs on Discharge given Depth at Gauging Station

What is the formula to find Discharge given Depth at Gauging Station?

The formula of Discharge given Depth at Gauging Station is expressed as Discharge = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/Head at Control. Here is an example- 3 = (6.01-0.1-2.4^2)/0.05.

How to calculate Discharge given Depth at Gauging Station?

With Depth at Gauging Station (h_G), Cease-to-Flow Depth (h_csf), Terms of Order (Q²) & Head at Control (H_c) we can find Discharge given Depth at Gauging Station using the formula - Discharge = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/Head at Control.

Can the Discharge given Depth at Gauging Station be negative?

No, the Discharge given Depth at Gauging Station, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge given Depth at Gauging Station?

Discharge given Depth at Gauging Station is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge given Depth at Gauging Station can be measured.

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Discharge given Depth at Gauging Station Formula

Discharge given Depth at Gauging Station Example

Discharge given Depth at Gauging Station Solution

Discharge given Depth at Gauging Station Formula Elements

Other formulas in Low Flow category

How to Evaluate Discharge given Depth at Gauging Station?

FAQs on Discharge given Depth at Gauging Station

Variable Name