Chezy Formula for Normal Depth of Wide Rectangular Channel Calculator

✖Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.ⓘ Critical Depth of Channel [C]			+10% -10%
✖Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.ⓘ Chézy’s Coefficients for Varied Flow [C_VF]			+10% -10%
✖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.ⓘ Bed Slope of Channel [S₀]			+10% -10%

✖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.ⓘ Chezy Formula for Normal Depth of Wide Rectangular Channel [Y_n]

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Formula

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Chezy Formula for Normal Depth of Wide Rectangular Channel

Formula

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

Example

0.239976 m = {(\frac{({3 m}^{3}) \cdot [g]}{({69.2}^{2}) \cdot 4.001})}^{\frac{1}{3}}

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Chezy Formula for Normal Depth of Wide Rectangular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Depth of Varied Flow = (((Critical Depth of Channel^3)*[g])/((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))^(1/3)
Y_n = (((C^3)*[g])/((C_VF^2)*S₀))^(1/3)
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Normal Depth of Varied Flow - (Measured in Meter) - 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.
Critical Depth of Channel - (Measured in Meter) - Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Critical Depth of Channel: 3 Meter --> 3 Meter No Conversion Required
Chézy’s Coefficients for Varied Flow: 69.2 --> No Conversion Required
Bed Slope of Channel: 4.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y_n = (((C^3)*[g])/((C_VF^2)*S₀))^(1/3) --> (((3^3)*[g])/((69.2^2)*4.001))^(1/3)

Evaluating ... ...

Y_n = 0.239976049577689

STEP 3: Convert Result to Output's Unit

0.239976049577689 Meter --> No Conversion Required

FINAL ANSWER

0.239976049577689 ≈ 0.239976 Meter <-- Normal Depth of Varied Flow

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Non uniform Flow in Channels » Integration of the Varied Flow Equation » Chezy Formula for Normal Depth of Wide Rectangular Channel

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< Integration of the Varied Flow Equation Calculators

Manning's Formula for Roughness Coefficient given Energy Slope

Go Manning’s Roughness Coefficient = (Energy Slope/(((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2)

Manning's Formula for Mean Velocity given Energy Slope

Go Mean Velocity for Varied Flow = (Energy Slope/(((Manning’s Roughness Coefficient)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2)

Manning's Formula for Hydraulic Radius given Energy Slope

Go Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4)

Manning's Formula for Energy Slope

Go Energy Slope = ((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))

Chezy Formula for Normal Depth of Wide Rectangular Channel 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)
Y_n = (((C^3)*[g])/((C_VF^2)*S₀))^(1/3)

What is Normal Depth?

Normal depth is the 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. Normal depth occurs when gravitational force of the water is equal to the friction drag along the culvert and there is no acceleration of flow.

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

Chezy Formula for Normal Depth of Wide Rectangular Channel calculator 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 calculate 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 calculate Chezy Formula for Normal Depth of Wide Rectangular Channel using this online calculator? To use this online calculator 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. Here is how the Chezy Formula for Normal Depth of Wide Rectangular Channel calculation can be explained with given input values -> 0.239976 = (((3^3)*[g])/((69.2^2)*4.001))^(1/3).

FAQ

What is Chezy Formula for Normal Depth of Wide Rectangular Channel?

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 and is represented as Y_n = (((C^3)*[g])/((C_VF^2)*S₀))^(1/3) or Normal Depth of Varied Flow = (((Critical Depth of Channel^3)*[g])/((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))^(1/3). Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy, Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the 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.

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

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 is calculated using 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 calculate Chezy Formula for Normal Depth of Wide Rectangular Channel, you need Critical Depth of Channel (C), Chézy’s Coefficients for Varied Flow (C_VF) & Bed Slope of Channel (S₀). With our tool, you need to enter the respective value for Critical Depth of Channel, Chézy’s Coefficients for Varied Flow & Bed Slope of Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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