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Head at Control given Depth at Gauging Station Formula

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Head at Control shown as a function of discharge Q. Check FAQs

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

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

Head at Control given Depth at Gauging Station Example

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

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

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

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

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

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

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Head at Control given Depth at Gauging Station Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

H c = 0.0500000000000001m

LAST Step Rounding Answer

∴

H c = 0.05m

Head at Control given Depth at Gauging Station Formula Elements

Variables

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

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

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

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 Discharge given Depth at Gauging Station

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

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

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

FAQs on Head at Control given Depth at Gauging Station

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

The formula of Head at Control given Depth at Gauging Station is expressed as Head at Control = (Depth at Gauging Station-Cease-to-Flow Depth-Terms of Order^2)/(Discharge). Here is an example- 50000 = (6.01-0.1-2.4^2)/(3).

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

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

Can the Head at Control given Depth at Gauging Station be negative?

Yes, the Head at Control given Depth at Gauging Station, measured in Length can be negative.

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

Head at Control given Depth at Gauging Station is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head at Control given Depth at Gauging Station can be measured.

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Head at Control given Depth at Gauging Station Formula

Head at Control given Depth at Gauging Station Example

Head at Control given Depth at Gauging Station Solution

Head at Control given Depth at Gauging Station Formula Elements

Other formulas in Low Flow category

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

FAQs on Head at Control given Depth at Gauging Station

Variable Name