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Discharge through Channel Formula

GoDischarge given Conveyance Formula

GoManning's Formula for Discharge given Conveyance Formula

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Discharge of Channel is the rate of flow of a liquid. Check FAQs

Q = C \cdot A cs \cdot \sqrt{R H \cdot S}

Q - Discharge of Channel?C - Chezy's Constant?A_cs - Cross-Sectional Area of Channel?R_H - Hydraulic Radius of Channel?S - Bed Slope?

Discharge through Channel Example

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Here is how the Discharge through Channel equation looks like with Values.

Here is how the Discharge through Channel equation looks like with Units.

Here is how the Discharge through Channel equation looks like.

15.1789 = 40 \cdot 15 \cdot \sqrt{1.6 \cdot 0.0004}

15.1789m³/s = 40 \cdot 15m² \cdot \sqrt{1.6m \cdot 0.0004}

15.1789 = 40 \cdot 15 \cdot \sqrt{1.6 \cdot 0.0004}

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Discharge through Channel Solution

Follow our step by step solution on how to calculate Discharge through Channel?

FIRST Step Consider the formula

Q = C \cdot A cs \cdot \sqrt{R H \cdot S}

Next Step Substitute values of Variables

∴

Q = 40 \cdot 15m² \cdot \sqrt{1.6m \cdot 0.0004}

Next Step Prepare to Evaluate

∴

Q = 40 \cdot 15 \cdot \sqrt{1.6 \cdot 0.0004}

Next Step Evaluate

∴

Q = 15.1789327688082m³/s

LAST Step Rounding Answer

∴

Q = 15.1789m³/s

Discharge through Channel Formula Elements

Variables

Functions

Discharge of Channel

Discharge of Channel is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Channel

Chezy's Constant

The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chezy's Constant

Cross-Sectional Area of Channel

Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area of Channel

Hydraulic Radius of Channel

Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

Symbol: R_H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Radius of Channel

Bed Slope

Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Discharge of Channel

Go Discharge given Conveyance

Q = C f \cdot \sqrt{S}

Go Manning's Formula for Discharge given Conveyance

Q = C f \cdot \sqrt{S}

Other formulas in Computation of Uniform Flow category

Go Area of Channel Section given Discharge

A cs = \frac{Q}{C \cdot \sqrt{R H \cdot S}}

Go Hydraulic Radius of Channel Section given Discharge

R H = \frac{{(\frac{Q}{C \cdot A cs})}^{2}}{S}

Go Bed Slope of Channel Section given Discharge

S = \frac{{(\frac{Q}{C \cdot A cs})}^{2}}{R H}

Go Chezy Constant given Discharge

C = \frac{Q}{A cs \cdot \sqrt{R H \cdot S}}

How to Evaluate Discharge through Channel?

Discharge through Channel evaluator uses Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope) to evaluate the Discharge of Channel, The Discharge through Channel formula is defined as amount of liquid flowing in the channel measured any point in the flow direction. Discharge of Channel is denoted by Q symbol.

How to evaluate Discharge through Channel using this online evaluator? To use this online evaluator for Discharge through Channel, enter Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs), Hydraulic Radius of Channel (R_H) & Bed Slope (S) and hit the calculate button.

FAQs on Discharge through Channel

What is the formula to find Discharge through Channel?

The formula of Discharge through Channel is expressed as Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope). Here is an example- 3.440558 = 40*15*sqrt(1.6*0.0004).

How to calculate Discharge through Channel?

With Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs), Hydraulic Radius of Channel (R_H) & Bed Slope (S) we can find Discharge through Channel using the formula - Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Discharge of Channel?

Here are the different ways to Calculate Discharge of Channel-

Discharge of Channel=Conveyance Factor*sqrt(Bed Slope)
Discharge of Channel=Conveyance Factor*sqrt(Bed Slope)

Can the Discharge through Channel be negative?

No, the Discharge through Channel, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge through Channel?

Discharge through Channel 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 through Channel can be measured.

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Discharge through Channel Formula

​GoDischarge given Conveyance Formula

​GoManning's Formula for Discharge given Conveyance Formula

Discharge through Channel Example

Discharge through Channel Solution

Discharge through Channel Formula Elements

Other Formulas to find Discharge of Channel

Other formulas in Computation of Uniform Flow category

How to Evaluate Discharge through Channel?

FAQs on Discharge through Channel

Variable Name

GoDischarge given Conveyance Formula

GoManning's Formula for Discharge given Conveyance Formula