Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Calculator

✖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.ⓘ Normal Depth of Varied Flow [Y_n]			+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%

✖Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.ⓘ Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel [C]

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Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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

Normal Depth of Varied Flow: 0.24 Meter --> 0.24 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

C = (((Y_n^3)*((C_VF^2)*S₀))/[g])^(1/3) --> (((0.24^3)*((69.2^2)*4.001))/[g])^(1/3)

Evaluating ... ...

C = 3.00029941015805

STEP 3: Convert Result to Output's Unit

3.00029941015805 Meter --> No Conversion Required

FINAL ANSWER

3.00029941015805 ≈ 3.000299 Meter <-- Critical Depth of Channel

(Calculation completed in 00.008 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 Critical Depth given 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

LaTeX 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

LaTeX 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

LaTeX 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

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

Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Formula

LaTeX Go

Critical Depth of Channel = (((Normal Depth of Varied Flow^3)*((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))/[g])^(1/3)
C = (((Y_n^3)*((C_VF^2)*S₀))/[g])^(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 Critical Depth given Normal Depth of Wide Rectangular Channel?

Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel calculator uses Critical Depth of Channel = (((Normal Depth of Varied Flow^3)*((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))/[g])^(1/3) to calculate the Critical Depth of Channel, The Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel is defined as the depth of flow with minimum energy. Critical Depth of Channel is denoted by C symbol.

How to calculate Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel using this online calculator? To use this online calculator for Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel, enter Normal Depth of Varied Flow (Y_n), 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 Critical Depth given Normal Depth of Wide Rectangular Channel calculation can be explained with given input values -> 3.000299 = (((0.24^3)*((69.2^2)*4.001))/[g])^(1/3).

FAQ

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

The Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel is defined as the depth of flow with minimum energy and is represented as C = (((Y_n^3)*((C_VF^2)*S₀))/[g])^(1/3) or Critical Depth of Channel = (((Normal Depth of Varied Flow^3)*((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))/[g])^(1/3). 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, 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 Critical Depth given Normal Depth of Wide Rectangular Channel?

The Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel is defined as the depth of flow with minimum energy is calculated using Critical Depth of Channel = (((Normal Depth of Varied Flow^3)*((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))/[g])^(1/3). To calculate Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel, you need Normal Depth of Varied Flow (Y_n), Chézy’s Coefficients for Varied Flow (C_VF) & Bed Slope of Channel (S₀). With our tool, you need to enter the respective value for Normal Depth of Varied Flow, 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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