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Chezy Constant given Discharge through Channels Formula

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

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

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

Chezy Constant given Discharge through Channels Example

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

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

Here is how the Chezy Constant given Discharge through Channels equation looks like.

22.4 = \frac{14}{\sqrt{(25^{3}) \cdot \frac{0.0004}{16}}}

22.4 = \frac{14m³/s}{\sqrt{({25m²}^{3}) \cdot \frac{0.0004}{16m}}}

22.4 = \frac{14}{\sqrt{(25^{3}) \cdot \frac{0.0004}{16}}}

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Chezy Constant given Discharge through Channels Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = \frac{14m³/s}{\sqrt{({25m²}^{3}) \cdot \frac{0.0004}{16m}}}

Next Step Prepare to Evaluate

∴

C = \frac{14}{\sqrt{(25^{3}) \cdot \frac{0.0004}{16}}}

LAST Step Evaluate

∴

C = 22.4

Chezy Constant given Discharge through Channels Formula Elements

Variables

Functions

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

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

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 Discharge through Channels

Q = C \cdot \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 Chezy Constant given Discharge through Channels?

Chezy Constant given Discharge through Channels evaluator uses Chezy's Constant = Discharge of Channel/(sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel)) to evaluate the Chezy's Constant, The Chezy Constant given Discharge through Channels is defined as constant depending on flow parameter and property of channel. Chezy's Constant is denoted by C symbol.

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

FAQs on Chezy Constant given Discharge through Channels

What is the formula to find Chezy Constant given Discharge through Channels?

The formula of Chezy Constant given Discharge through Channels is expressed as Chezy's Constant = Discharge of Channel/(sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel)). Here is an example- 22.4 = 14/(sqrt((25^3)*0.0004/16)).

How to calculate Chezy Constant given Discharge through Channels?

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

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Chezy Constant given Discharge through Channels Formula

Chezy Constant given Discharge through Channels Example

Chezy Constant given Discharge through Channels Solution

Chezy Constant given Discharge through Channels Formula Elements

Other formulas in Circular Section category

How to Evaluate Chezy Constant given Discharge through Channels?

FAQs on Chezy Constant given Discharge through Channels

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