Chezy's Constant using Chezy Formula given Energy Slope Calculator

✖Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity for Varied Flow [v_m,R]			+10% -10%
✖Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius of Channel [R_H]			+10% -10%
✖Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Energy Slope [S_f]			+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's Constant using Chezy Formula given Energy Slope [C_VF]

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Formula

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Chezy's Constant using Chezy Formula given Energy Slope

Formula

`"C"_{"VF"} = ((("v"_{"m,R"})^2)/("R"_{"H"}*"S"_{"f"}))^(1/2)`

Example

`"31.4089"=((("56.2m/s")^2)/("1.6m"*"2.001"))^(1/2)`

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Chezy's Constant using Chezy Formula given Energy Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chézy’s Coefficients for Varied Flow = (((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel*Energy Slope))^(1/2)
C_VF = (((v_m,R)^2)/(R_H*S_f))^(1/2)
This formula uses 4 Variables

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.
Mean Velocity for Varied Flow - (Measured in Meter per Second) - Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Hydraulic Radius of Channel - (Measured in Meter) - Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity for Varied Flow: 56.2 Meter per Second --> 56.2 Meter per Second No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
Energy Slope: 2.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_VF = (((v_m,R)^2)/(R_H*S_f))^(1/2) --> (((56.2)^2)/(1.6*2.001))^(1/2)

Evaluating ... ...

C_VF = 31.4089038391952

STEP 3: Convert Result to Output's Unit

31.4089038391952 --> No Conversion Required

FINAL ANSWER

31.4089038391952 ≈ 31.4089 <-- Chézy’s Coefficients for Varied Flow

(Calculation completed in 00.004 seconds)

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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's Constant using Chezy Formula given Energy Slope Formula

Chézy’s Coefficients for Varied Flow = (((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel*Energy Slope))^(1/2)
C_VF = (((v_m,R)^2)/(R_H*S_f))^(1/2)

What is Chezy Constant?

iChezy's coefficient [m1/2/s], is the hydraulic radius, which is the cross-sectional area of flow divided by the wetted perimeter (for a wide channel this is approximately equal to the water depth) [m], and. is the hydraulic gradient, which for normal depth of flow equals the bottom slope [m/m].

How to Calculate Chezy's Constant using Chezy Formula given Energy Slope?

Chezy's Constant using Chezy Formula given Energy Slope calculator uses Chézy’s Coefficients for Varied Flow = (((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel*Energy Slope))^(1/2) to calculate the Chézy’s Coefficients for Varied Flow, The Chezy's Constant using Chezy Formula given Energy Slope formula is defined as a constant depending on the nature of flow n-type of the channel. Chézy’s Coefficients for Varied Flow is denoted by C_VF symbol.

How to calculate Chezy's Constant using Chezy Formula given Energy Slope using this online calculator? To use this online calculator for Chezy's Constant using Chezy Formula given Energy Slope, enter Mean Velocity for Varied Flow (v_m,R), Hydraulic Radius of Channel (R_H) & Energy Slope (S_f) and hit the calculate button. Here is how the Chezy's Constant using Chezy Formula given Energy Slope calculation can be explained with given input values -> 31.4089 = (((56.2)^2)/(1.6*2.001))^(1/2).

FAQ

What is Chezy's Constant using Chezy Formula given Energy Slope?

The Chezy's Constant using Chezy Formula given Energy Slope formula is defined as a constant depending on the nature of flow n-type of the channel and is represented as C_VF = (((v_m,R)^2)/(R_H*S_f))^(1/2) or Chézy’s Coefficients for Varied Flow = (((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel*Energy Slope))^(1/2). Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T, Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit & Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

How to calculate Chezy's Constant using Chezy Formula given Energy Slope?

The Chezy's Constant using Chezy Formula given Energy Slope formula is defined as a constant depending on the nature of flow n-type of the channel is calculated using Chézy’s Coefficients for Varied Flow = (((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel*Energy Slope))^(1/2). To calculate Chezy's Constant using Chezy Formula given Energy Slope, you need Mean Velocity for Varied Flow (v_m,R), Hydraulic Radius of Channel (R_H) & Energy Slope (S_f). With our tool, you need to enter the respective value for Mean Velocity for Varied Flow, Hydraulic Radius of Channel & Energy Slope 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 Mean Velocity for Varied Flow, Hydraulic Radius of Channel & Energy Slope. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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