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Discharge through Channels Formula

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

Q = C \cdot \sqrt{(A^{3}) \cdot \frac{S}{p}}

Q - Discharge of Channel?C - Chezy's Constant?A - Wetted Surface Area of Channel?S - Bed Slope?p - Wetted Perimeter of Channel?

Discharge through Channels Example

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

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

Here is how the Discharge through Channels equation looks like.

25 = 40 \cdot \sqrt{(25^{3}) \cdot \frac{0.0004}{16}}

25m³/s = 40 \cdot \sqrt{({25m²}^{3}) \cdot \frac{0.0004}{16m}}

25 = 40 \cdot \sqrt{(25^{3}) \cdot \frac{0.0004}{16}}

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Discharge through Channels Solution

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

FIRST Step Consider the formula

Q = C \cdot \sqrt{(A^{3}) \cdot \frac{S}{p}}

Next Step Substitute values of Variables

∴

Q = 40 \cdot \sqrt{({25m²}^{3}) \cdot \frac{0.0004}{16m}}

Next Step Prepare to Evaluate

∴

Q = 40 \cdot \sqrt{(25^{3}) \cdot \frac{0.0004}{16}}

LAST Step Evaluate

∴

Q = 25m³/s

Discharge through Channels 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

Wetted Surface Area of Channel

Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Wetted Surface Area 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

Wetted Perimeter of Channel

Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

Symbol: p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wetted Perimeter of Channel

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 in Circular Section category

Go Chezy Constant given Discharge through Channels

C = \frac{Q}{\sqrt{(A^{3}) \cdot \frac{S}{p}}}

Go Wetted Area given Discharge through Channels

A = {(({(\frac{Q}{C})}^{2}) \cdot \frac{p}{S})}^{\frac{1}{3}}

Go Wetted Perimeter given Discharge through Channels

p = \frac{(A^{3}) \cdot S}{{(\frac{Q}{C})}^{2}}

Go Side Slope of Channel Bed given Discharge through Channels

S = \frac{p}{\frac{(A^{3})}{{(\frac{Q}{C})}^{2}}}

How to Evaluate Discharge through Channels?

Discharge through Channels evaluator uses Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel) to evaluate the Discharge of Channel, The Discharge through Channels formula is defined as amount of water flowing in the stream at any point. Discharge of Channel is denoted by Q symbol.

How to evaluate Discharge through Channels using this online evaluator? To use this online evaluator for Discharge through Channels, enter Chezy's Constant (C), Wetted Surface Area of Channel (A), Bed Slope (S) & Wetted Perimeter of Channel (p) and hit the calculate button.

FAQs on Discharge through Channels

What is the formula to find Discharge through Channels?

The formula of Discharge through Channels is expressed as Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel). Here is an example- 25 = 40*sqrt((25^3)*0.0004/16).

How to calculate Discharge through Channels?

With Chezy's Constant (C), Wetted Surface Area of Channel (A), Bed Slope (S) & Wetted Perimeter of Channel (p) we can find Discharge through Channels using the formula - Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel). This formula also uses Square Root (sqrt) function(s).

Can the Discharge through Channels be negative?

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

Which unit is used to measure Discharge through Channels?

Discharge through Channels 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 Channels can be measured.

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Discharge through Channels Formula

Discharge through Channels Example

Discharge through Channels Solution

Discharge through Channels Formula Elements

Other formulas in Circular Section category

How to Evaluate Discharge through Channels?

FAQs on Discharge through Channels

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