Chezy Formula for Hydraulic Radius 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%
✖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%
✖Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Energy Slope [S_f]			+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.ⓘ Chezy Formula for Hydraulic Radius given Energy Slope [R_H]

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Formula

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Chezy Formula for Hydraulic Radius given Energy Slope

Formula

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

Example

`"0.32962m"=(("56.2m/s"/"69.2")^2)/"2.001"`

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Chezy Formula for Hydraulic Radius given Energy Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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
Chézy’s Coefficients for Varied Flow: 69.2 --> No Conversion Required
Energy Slope: 2.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H = ((v_m,R/C_VF)^2)/S_f --> ((56.2/69.2)^2)/2.001

Evaluating ... ...

R_H = 0.329619847098069

STEP 3: Convert Result to Output's Unit

0.329619847098069 Meter --> No Conversion Required

FINAL ANSWER

0.329619847098069 ≈ 0.32962 Meter <-- Hydraulic Radius of Channel

(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 Formula for Hydraulic Radius given Energy Slope Formula

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

What is Hydraulic Radius?

Hydraulic Radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit.

How to Calculate Chezy Formula for Hydraulic Radius given Energy Slope?

Chezy Formula for Hydraulic Radius given Energy Slope calculator uses Hydraulic Radius of Channel = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope to calculate the Hydraulic Radius of Channel, The Chezy Formula for Hydraulic Radius given Energy Slope is defined as the ratio of wetted area to wetted perimeter of the channel section. Hydraulic Radius of Channel is denoted by R_H symbol.

How to calculate Chezy Formula for Hydraulic Radius given Energy Slope using this online calculator? To use this online calculator for Chezy Formula for Hydraulic Radius given Energy Slope, enter Mean Velocity for Varied Flow (v_m,R), Chézy’s Coefficients for Varied Flow (C_VF) & Energy Slope (S_f) and hit the calculate button. Here is how the Chezy Formula for Hydraulic Radius given Energy Slope calculation can be explained with given input values -> 0.32962 = ((56.2/69.2)^2)/2.001.

FAQ

What is Chezy Formula for Hydraulic Radius given Energy Slope?

The Chezy Formula for Hydraulic Radius given Energy Slope is defined as the ratio of wetted area to wetted perimeter of the channel section and is represented as R_H = ((v_m,R/C_VF)^2)/S_f or Hydraulic Radius of Channel = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope. Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T, Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel & Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

How to calculate Chezy Formula for Hydraulic Radius given Energy Slope?

The Chezy Formula for Hydraulic Radius given Energy Slope is defined as the ratio of wetted area to wetted perimeter of the channel section is calculated using Hydraulic Radius of Channel = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope. To calculate Chezy Formula for Hydraulic Radius given Energy Slope, you need Mean Velocity for Varied Flow (v_m,R), Chézy’s Coefficients for Varied Flow (C_VF) & Energy Slope (S_f). With our tool, you need to enter the respective value for Mean Velocity for Varied Flow, Chézy’s Coefficients for Varied Flow & 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 Hydraulic Radius of Channel?

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

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

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