Chezy Constant using Chezy Formula given 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%
✖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%
✖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%

✖Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.ⓘ Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel [C_VF]

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Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel

Formula

`"C"_{"VF"} = sqrt((("C"/"Y"_{"n"})^3)*"[g]"/"S"_{"0"})`

Example

`"69.18964"=sqrt((("3m"/"0.24m")^3)*"[g]"/"4.001")`

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Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Functions Used

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., sqrt(Number)

Variables Used

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.
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.
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
Normal Depth of Varied Flow: 0.24 Meter --> 0.24 Meter No Conversion Required
Bed Slope of Channel: 4.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

C_VF = 69.1896417007837

STEP 3: Convert Result to Output's Unit

69.1896417007837 --> No Conversion Required

FINAL ANSWER

69.1896417007837 ≈ 69.18964 <-- Chézy’s Coefficients for Varied Flow

(Calculation completed in 00.004 seconds)

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

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< 12 Integration of the Varied Flow Equation Calculators

Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel

Go Chézy’s Coefficients for Varied Flow = sqrt(((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Bed Slope of Channel)

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

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)

Chezy Formula for Normal Depth of Wide Rectangular Channel

Go Normal Depth of Varied Flow = (((Critical Depth of Channel^3)*[g])/((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))^(1/3)

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel

Go Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2)

Chezy Formula for Mean Velocity given Energy Slope

Go Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel)

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)

Chezy's Constant using Chezy Formula given Energy Slope

Go Chézy’s Coefficients for Varied Flow = (((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel*Energy Slope))^(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 Hydraulic Radius given Energy Slope

Go Hydraulic Radius of Channel = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope

Chezy Formula for Energy Slope

Go Energy Slope = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Hydraulic Radius of Channel

Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel Formula

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

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 Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel?

Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel calculator uses Chézy’s Coefficients for Varied Flow = sqrt(((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Bed Slope of Channel) to calculate the Chézy’s Coefficients for Varied Flow, The Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel formula is defined as a constant used for finding the velocity in the channel. Chézy’s Coefficients for Varied Flow is denoted by C_VF symbol.

How to calculate Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel using this online calculator? To use this online calculator for Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel, enter Critical Depth of Channel (C), Normal Depth of Varied Flow (Y_n) & Bed Slope of Channel (S₀) and hit the calculate button. Here is how the Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel calculation can be explained with given input values -> 69.18964 = sqrt(((3/0.24)^3)*[g]/4.001).

FAQ

What is Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel?

The Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel formula is defined as a constant used for finding the velocity in the channel and is represented as C_VF = sqrt(((C/Y_n)^3)*[g]/S₀) or Chézy’s Coefficients for Varied Flow = sqrt(((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Bed Slope of Channel). Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy, 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 & 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 Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel?

The Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel formula is defined as a constant used for finding the velocity in the channel is calculated using Chézy’s Coefficients for Varied Flow = sqrt(((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Bed Slope of Channel). To calculate Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel, you need Critical Depth of Channel (C), Normal Depth of Varied Flow (Y_n) & Bed Slope of Channel (S₀). With our tool, you need to enter the respective value for Critical Depth of Channel, Normal Depth of 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.

How many ways are there to calculate Chézy’s Coefficients for Varied Flow?

In this formula, Chézy’s Coefficients for Varied Flow uses Critical Depth of Channel, Normal Depth of Varied Flow & Bed Slope of Channel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Chézy’s Coefficients for Varied Flow = (((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel*Energy Slope))^(1/2)

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