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Chezy Formula for Normal Depth of Wide Rectangular Channel Formula

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Normal Depth of Varied Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant. Check FAQs

Y n = {(\frac{(C^{3}) \cdot [g]}{({C VF}^{2}) \cdot S 0})}^{\frac{1}{3}}

Y_n - Normal Depth of Varied Flow?C - Critical Depth of Channel?C_VF - Chézy’s Coefficients for Varied Flow?S₀ - Bed Slope of Channel?[g] - Gravitational acceleration on Earth?

Chezy Formula for Normal Depth of Wide Rectangular Channel Example

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Here is how the Chezy Formula for Normal Depth of Wide Rectangular Channel equation looks like with Values.

Here is how the Chezy Formula for Normal Depth of Wide Rectangular Channel equation looks like with Units.

Here is how the Chezy Formula for Normal Depth of Wide Rectangular Channel equation looks like.

0.24 = {(\frac{(3^{3}) \cdot 9.8066}{({69.2}^{2}) \cdot 4.001})}^{\frac{1}{3}}

0.24m = {(\frac{({3m}^{3}) \cdot 9.8066m/s²}{({69.2}^{2}) \cdot 4.001})}^{\frac{1}{3}}

0.24 = {(\frac{(3^{3}) \cdot 9.8066}{({69.2}^{2}) \cdot 4.001})}^{\frac{1}{3}}

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Chezy Formula for Normal Depth of Wide Rectangular Channel Solution

Follow our step by step solution on how to calculate Chezy Formula for Normal Depth of Wide Rectangular Channel?

FIRST Step Consider the formula

Y n = {(\frac{(C^{3}) \cdot [g]}{({C VF}^{2}) \cdot S 0})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

Y n = {(\frac{({3m}^{3}) \cdot [g]}{({69.2}^{2}) \cdot 4.001})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

Y n = {(\frac{({3m}^{3}) \cdot 9.8066m/s²}{({69.2}^{2}) \cdot 4.001})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

Y n = {(\frac{(3^{3}) \cdot 9.8066}{({69.2}^{2}) \cdot 4.001})}^{\frac{1}{3}}

Next Step Evaluate

∴

Y n = 0.239976049577689m

LAST Step Rounding Answer

∴

Y n = 0.24m

Chezy Formula for Normal Depth of Wide Rectangular Channel Formula Elements

Variables

Constants

Normal Depth of Varied Flow

Normal Depth of Varied Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.

Symbol: Y_n

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Normal Depth of Varied Flow

Critical Depth of Channel

Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.

Symbol: C

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Channel

Chézy’s Coefficients for Varied Flow

Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.

Symbol: C_VF

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chézy’s Coefficients for Varied Flow

Bed Slope of Channel

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

Symbol: S₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope of Channel

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Integration of the Varied Flow Equation category

Go Manning's Formula for Energy Slope

S f = \frac{{(n \cdot v m,R)}^{2}}{{R H}^{\frac{4}{3}}}

Go Manning's Formula for Roughness Coefficient given Energy Slope

n = {(\frac{S f}{\frac{{(v m,R)}^{2}}{{R H}^{\frac{4}{3}}}})}^{\frac{1}{2}}

Go Manning's Formula for Hydraulic Radius given Energy Slope

R H = {(\frac{{(n \cdot v m,R)}^{2}}{S f})}^{\frac{3}{4}}

Go Manning's Formula for Mean Velocity given Energy Slope

v m,R = {(\frac{S f}{\frac{{(n)}^{2}}{{R H}^{\frac{4}{3}}}})}^{\frac{1}{2}}

How to Evaluate Chezy Formula for Normal Depth of Wide Rectangular Channel?

Chezy Formula for Normal Depth of Wide Rectangular Channel evaluator uses Normal Depth of Varied Flow = (((Critical Depth of Channel^3)*[g])/((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))^(1/3) to evaluate the Normal Depth of Varied Flow, The Chezy Formula for Normal Depth of Wide Rectangular Channel formula is used to calculate the depth of flow when a particular energy condition is imposed. Normal Depth of Varied Flow is denoted by Y_n symbol.

How to evaluate Chezy Formula for Normal Depth of Wide Rectangular Channel using this online evaluator? To use this online evaluator for Chezy Formula for Normal Depth of Wide Rectangular Channel, enter Critical Depth of Channel (C), Chézy’s Coefficients for Varied Flow (C_VF) & Bed Slope of Channel (S₀) and hit the calculate button.

FAQs on Chezy Formula for Normal Depth of Wide Rectangular Channel

What is the formula to find Chezy Formula for Normal Depth of Wide Rectangular Channel?

The formula of Chezy Formula for Normal Depth of Wide Rectangular Channel is expressed as Normal Depth of Varied Flow = (((Critical Depth of Channel^3)*[g])/((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))^(1/3). Here is an example- 0.239976 = (((3^3)*[g])/((69.2^2)*4.001))^(1/3).

How to calculate Chezy Formula for Normal Depth of Wide Rectangular Channel?

With Critical Depth of Channel (C), Chézy’s Coefficients for Varied Flow (C_VF) & Bed Slope of Channel (S₀) we can find Chezy Formula for Normal Depth of Wide Rectangular Channel using the formula - Normal Depth of Varied Flow = (((Critical Depth of Channel^3)*[g])/((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))^(1/3). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Chezy Formula for Normal Depth of Wide Rectangular Channel be negative?

No, the Chezy Formula for Normal Depth of Wide Rectangular Channel, measured in Length cannot be negative.

Which unit is used to measure Chezy Formula for Normal Depth of Wide Rectangular Channel?

Chezy Formula for Normal Depth of Wide Rectangular Channel is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Chezy Formula for Normal Depth of Wide Rectangular Channel can be measured.

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Chezy Formula for Normal Depth of Wide Rectangular Channel Formula

Chezy Formula for Normal Depth of Wide Rectangular Channel Example

Chezy Formula for Normal Depth of Wide Rectangular Channel Solution

Chezy Formula for Normal Depth of Wide Rectangular Channel Formula Elements

Other formulas in Integration of the Varied Flow Equation category

How to Evaluate Chezy Formula for Normal Depth of Wide Rectangular Channel?

FAQs on Chezy Formula for Normal Depth of Wide Rectangular Channel

Variable Name